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Deck 18: Inference for Regression
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Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. 
Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use α = 0 .05)? Give the appropriate test statistic, associated P-value, and conclusion.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use α = 0 .05)? Give the appropriate test statistic, associated P-value, and conclusion.
Question
Question
From the residual plot below we can say 
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
Question
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. 
Are the assumptions / conditions for regression and inference satisfied? Explain.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Are the assumptions / conditions for regression and inference satisfied? Explain.
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
What percentage of the variability in troubleshooting time can be accounted for by amount of training received?
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. What percentage of the variability in troubleshooting time can be accounted for by amount of training received?
Question
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. 
At α = 0 .05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is no significant relationship between GPA and sales performance.
D) We reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
E) We fail to reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. At α = 0 .05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is no significant relationship between GPA and sales performance.
D) We reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
E) We fail to reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
The confidence interval and prediction interval for troubleshooting time with 8 hours of training are shown below. Interpret both intervals in this context.
95% CI 95% PI
(15.180, 16.903) (12.822, 19.261)
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. The confidence interval and prediction interval for troubleshooting time with 8 hours of training are shown below. Interpret both intervals in this context.
95% CI 95% PI
(15.180, 16.903) (12.822, 19.261)
Question
Question
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
At α = 0.05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
D) We reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
E) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
At α = 0.05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
D) We reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
E) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
Question
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Which of the following assumptions and/or conditions for regression and inference are satisfied?
A) Linearity
B) Independence
C) Equal Spread
D) Nearly Normal
E) All are satisfied.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Which of the following assumptions and/or conditions for regression and inference are satisfied?
A) Linearity
B) Independence
C) Equal Spread
D) Nearly Normal
E) All are satisfied.
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Write the null and alternative hypothesis.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Write the null and alternative hypothesis.
Question
Question
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
The correct null hypothesis is
A) There is a strong relationship between GPA and sales performance.
B) There is a relationship between GPA and sales performance.
C) β1 ≠ 0
D) There is no relationship between GPA and sales performance, and β1 = 0.
E) There is a relationship between GPA and sales performance, and β1 ≠ 0.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. The correct null hypothesis is
A) There is a strong relationship between GPA and sales performance.
B) There is a relationship between GPA and sales performance.
C) β1 ≠ 0
D) There is no relationship between GPA and sales performance, and β1 = 0.
E) There is a relationship between GPA and sales performance, and β1 ≠ 0.
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) t = -13.35
B) t = 30.03
C) s = 1.43588
D) t = -1.8360
E) t = 1.8360
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) t = -13.35
B) t = 30.03
C) s = 1.43588
D) t = -1.8360
E) t = 1.8360
Question
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Predict the troubleshooting time for a line worker who received 8 hours of training.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Predict the troubleshooting time for a line worker who received 8 hours of training.
Question
Question
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Are the assumptions / conditions for regression and inference satisfied? Explain.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Are the assumptions / conditions for regression and inference satisfied? Explain.
Question
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Write the null and alternative hypothesis.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Write the null and alternative hypothesis.
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, at α = 0.05
A) We reject the null hypothesis and can conclude that there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
B) We fail to reject the null hypothesis.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of total bill and the size of the tip received by the server.
E) We conclude there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, at α = 0.05
A) We reject the null hypothesis and can conclude that there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
B) We fail to reject the null hypothesis.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of total bill and the size of the tip received by the server.
E) We conclude there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct critical value at 5% significance level is
A) 2.3060
B) 2.2281
C) 1.8595
D) 1.8125
E) 2.2622
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct critical value at 5% significance level is
A) 2.3060
B) 2.2281
C) 1.8595
D) 1.8125
E) 2.2622
Question
From the histogram of residuals below we can say 
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) 7.5634
B) 2.0202
C) 0.0281
D) 0.0001
E) 0.2128
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) 7.5634
B) 2.0202
C) 0.0281
D) 0.0001
E) 0.2128
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, at α = 0.05
A) We reject the null hypothesis and conclude there is strong evidence of an association between total bill and tip.
B) We fail to reject the null hypothesis and conclude there is no evidence of an association between total bill and tip.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis.
E) We know tip and total bill are not related.
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, at α = 0.05
A) We reject the null hypothesis and conclude there is strong evidence of an association between total bill and tip.
B) We fail to reject the null hypothesis and conclude there is no evidence of an association between total bill and tip.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis.
E) We know tip and total bill are not related.
Question
Question
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
Based upon the regression equation, what is the predicted value for tips if the total bill is $100?
A) $20.61
B) $26.03
C) $15.55
D) $12.88
E) $21.28
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
Based upon the regression equation, what is the predicted value for tips if the total bill is $100?
A) $20.61
B) $26.03
C) $15.55
D) $12.88
E) $21.28
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
The value of the correlation coefficient is
A) +0.9366
B) -0.9366
C) +0.8773
D) -0.8773
E) +0.8620
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
The value of the correlation coefficient is
A) +0.9366
B) -0.9366
C) +0.8773
D) -0.8773
E) +0.8620
Question
Question
Question
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct value of the test statistic is
A) 7.5634
B) 5.1702
C) 6.7452
D) 2.3156
E) 3.4891
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct value of the test statistic is
A) 7.5634
B) 5.1702
C) 6.7452
D) 2.3156
E) 3.4891
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Deck 18: Inference for Regression
1
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use α = 0 .05)? Give the appropriate test statistic, associated P-value, and conclusion.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Is there a significant relationship between time it takes to troubleshoot the process (minutes) and training received (use α = 0 .05)? Give the appropriate test statistic, associated P-value, and conclusion.
The test for regression slope results in t = -13.35, P-value < 0.0001. With a P-value < 0.0001, we would reject the null hypothesis and conclude that there is strong evidence of an association between hours of training received and the time it takes for line workers to troubleshoot the process. The extremely small P-value means that the association we see in the data is unlikely to have occurred by chance.
2
The residual standard deviation, which measures the spread of points around the estimated regression line, is
A) 3.256
B) 1.044
C) 1.63045
D) 34.70
E) 2.477
A) 3.256
B) 1.044
C) 1.63045
D) 34.70
E) 2.477
C
3
From the residual plot below we can say
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
C
4
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Are the assumptions / conditions for regression and inference satisfied? Explain.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Are the assumptions / conditions for regression and inference satisfied? Explain.
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5
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
What percentage of the variability in troubleshooting time can be accounted for by amount of training received?
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. What percentage of the variability in troubleshooting time can be accounted for by amount of training received?
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6
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
At α = 0 .05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is no significant relationship between GPA and sales performance.
D) We reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
E) We fail to reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. At α = 0 .05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is no significant relationship between GPA and sales performance.
D) We reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
E) We fail to reject the null hypothesis and can conclude that there is no significant relationship between GPA and sales performance.
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7
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
The confidence interval and prediction interval for troubleshooting time with 8 hours of training are shown below. Interpret both intervals in this context.
95% CI 95% PI
(15.180, 16.903) (12.822, 19.261)
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. The confidence interval and prediction interval for troubleshooting time with 8 hours of training are shown below. Interpret both intervals in this context.
95% CI 95% PI
(15.180, 16.903) (12.822, 19.261)
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8
Is there a significant relationship between sales performance (units sold per month) and college GPA (use α = 0.05)? Give the appropriate test statistic, associated P-value, and conclusion.
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9
Predict the units sold per month for a new hire whose college GPA is 3.00.
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10
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
At α = 0.05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
D) We reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
E) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
At α = 0.05
A) We reject the null hypothesis.
B) We fail to reject the null hypothesis.
C) We can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
D) We reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
E) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of training received by production line workers and the time it takes for them to troubleshoot a process problem.
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11
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Which of the following assumptions and/or conditions for regression and inference are satisfied?
A) Linearity
B) Independence
C) Equal Spread
D) Nearly Normal
E) All are satisfied.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Which of the following assumptions and/or conditions for regression and inference are satisfied?
A) Linearity
B) Independence
C) Equal Spread
D) Nearly Normal
E) All are satisfied.
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12
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Write the null and alternative hypothesis.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Write the null and alternative hypothesis.
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13
The confidence interval and prediction interval for the number of units sold per month when GPA = 3.00 are shown below. Interpret both intervals in this context.
95% CI 95% PI
(20.832, 22.695) (18.120, 25.407)
95% CI 95% PI
(20.832, 22.695) (18.120, 25.407)
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14
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
The correct null hypothesis is
A) There is a strong relationship between GPA and sales performance.
B) There is a relationship between GPA and sales performance.
C) β1 ≠ 0
D) There is no relationship between GPA and sales performance, and β1 = 0.
E) There is a relationship between GPA and sales performance, and β1 ≠ 0.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. The correct null hypothesis is
A) There is a strong relationship between GPA and sales performance.
B) There is a relationship between GPA and sales performance.
C) β1 ≠ 0
D) There is no relationship between GPA and sales performance, and β1 = 0.
E) There is a relationship between GPA and sales performance, and β1 ≠ 0.
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15
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) t = -13.35
B) t = 30.03
C) s = 1.43588
D) t = -1.8360
E) t = 1.8360
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. The data, scatterplot and regression results are shown below.
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) t = -13.35
B) t = 30.03
C) s = 1.43588
D) t = -1.8360
E) t = 1.8360
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16
What percentage of the variability in sales performance (units sold per month) can be accounted for by college GPA?
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17
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Predict the troubleshooting time for a line worker who received 8 hours of training.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Predict the troubleshooting time for a line worker who received 8 hours of training.
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18
The percentage of variability in sales performance (units sold per month) accounted for by college GPA is
A) 50.56%
B) 78.1%
C) 34.70%
D) 100%
E) 48.9%
A) 50.56%
B) 78.1%
C) 34.70%
D) 100%
E) 48.9%
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19
Consider the following to answer the question(s) below:
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Are the assumptions / conditions for regression and inference satisfied? Explain.
An operations manager was interested in determining if there is a relationship between the amount of training received by production line workers and the time it takes for them to troubleshoot a process problem. A sample of recently trained line workers was selected. The number of hours of training time received and the time it took (in minutes) for them to troubleshoot their last process problem were captured. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Are the assumptions / conditions for regression and inference satisfied? Explain.
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20
Consider the following to answer the question(s) below:
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data.
Write the null and alternative hypothesis.
A sales manager was interested in determining if there is a relationship between college GPA and sales performance among salespeople hired within the last year. A sample of recently hired salespeople was selected and the number of units each sold last month was recorded. Relevant data appear in the table below.
Below are the scatterplot, regression results, and residual plots for these data. Write the null and alternative hypothesis.
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21
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, at α = 0.05
A) We reject the null hypothesis and can conclude that there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
B) We fail to reject the null hypothesis.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of total bill and the size of the tip received by the server.
E) We conclude there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, at α = 0.05
A) We reject the null hypothesis and can conclude that there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
B) We fail to reject the null hypothesis.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis and can conclude that there is a significant relationship between amount of total bill and the size of the tip received by the server.
E) We conclude there is a significant relationship between the amount of the total bill and the size of the tip received by the server.
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22
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct critical value at 5% significance level is
A) 2.3060
B) 2.2281
C) 1.8595
D) 1.8125
E) 2.2622
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct critical value at 5% significance level is
A) 2.3060
B) 2.2281
C) 1.8595
D) 1.8125
E) 2.2622
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23
From the histogram of residuals below we can say
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
A) that the nearly normal condition is satisfied
B) that the nearly normal condition is not satisfied
C) that the equal spread condition is satisfied
D) that the linearity condition is not satisfied
E) that the independence assumption is not satisfied
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24
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) 7.5634
B) 2.0202
C) 0.0281
D) 0.0001
E) 0.2128
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis β1 = 0, the correct value of the test statistic is
A) 7.5634
B) 2.0202
C) 0.0281
D) 0.0001
E) 0.2128
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25
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, at α = 0.05
A) We reject the null hypothesis and conclude there is strong evidence of an association between total bill and tip.
B) We fail to reject the null hypothesis and conclude there is no evidence of an association between total bill and tip.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis.
E) We know tip and total bill are not related.
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, at α = 0.05
A) We reject the null hypothesis and conclude there is strong evidence of an association between total bill and tip.
B) We fail to reject the null hypothesis and conclude there is no evidence of an association between total bill and tip.
C) We reject the null hypothesis.
D) We fail to reject the null hypothesis.
E) We know tip and total bill are not related.
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26
Based on the regression equation, the troubleshooting time for a line worker who receives 8 hours of training would be
A) 26.77 minutes
B) 15.98 minutes
C) 20 minutes
D) 10.36 minutes
E) 10 minutes
A) 26.77 minutes
B) 15.98 minutes
C) 20 minutes
D) 10.36 minutes
E) 10 minutes
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27
Which of the following is true?
A) The confidence interval for the predicted mean value of y is always narrower than the prediction interval for an individual y when both are calculated for a given value of x.
B) The prediction interval for an individual y is always narrower than the confidence interval for the predicted mean value of y, when both are calculated for a given value of x.
C) The confidence interval of the slope is the same as the confidence interval for the predicted y.
D) The confidence interval for the predicted mean value of y is the same as the prediction interval for an individual y when both are calculated for a given value of x.
E) The width of the confidence interval for the predicted mean value of y is greater than that of the prediction interval for an individual y when both are calculated for a given value of x.
A) The confidence interval for the predicted mean value of y is always narrower than the prediction interval for an individual y when both are calculated for a given value of x.
B) The prediction interval for an individual y is always narrower than the confidence interval for the predicted mean value of y, when both are calculated for a given value of x.
C) The confidence interval of the slope is the same as the confidence interval for the predicted y.
D) The confidence interval for the predicted mean value of y is the same as the prediction interval for an individual y when both are calculated for a given value of x.
E) The width of the confidence interval for the predicted mean value of y is greater than that of the prediction interval for an individual y when both are calculated for a given value of x.
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28
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
Based upon the regression equation, what is the predicted value for tips if the total bill is $100?
A) $20.61
B) $26.03
C) $15.55
D) $12.88
E) $21.28
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
Based upon the regression equation, what is the predicted value for tips if the total bill is $100?
A) $20.61
B) $26.03
C) $15.55
D) $12.88
E) $21.28
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29
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
The value of the correlation coefficient is
A) +0.9366
B) -0.9366
C) +0.8773
D) -0.8773
E) +0.8620
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
The value of the correlation coefficient is
A) +0.9366
B) -0.9366
C) +0.8773
D) -0.8773
E) +0.8620
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30
The 95% confidence interval for the slope is
A) 0.1479 to 0.2777
B) -5.3271 to 3.9903
C) -4.4252 to 3.0883
D) 0.1605 to 0.2651
E) 0.1184 to 0.3072
A) 0.1479 to 0.2777
B) -5.3271 to 3.9903
C) -4.4252 to 3.0883
D) 0.1605 to 0.2651
E) 0.1184 to 0.3072
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31
Which of the following is true?
A) When the correlation coefficient is significant, the slope coefficient will also be significant for a given level of α.
B) When the correlation coefficient is significant, the slope coefficient will never be significant for a given level of α.
C) The test statistics for the correlation coefficient and the slope coefficient are the same.
D) When the slope coefficient is significant, the correlation will not necessarily be significant for a given level of α.
E) The significance of the correlation and slope are unrelated.
A) When the correlation coefficient is significant, the slope coefficient will also be significant for a given level of α.
B) When the correlation coefficient is significant, the slope coefficient will never be significant for a given level of α.
C) The test statistics for the correlation coefficient and the slope coefficient are the same.
D) When the slope coefficient is significant, the correlation will not necessarily be significant for a given level of α.
E) The significance of the correlation and slope are unrelated.
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32
Consider the following to answer the question(s) below:
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct value of the test statistic is
A) 7.5634
B) 5.1702
C) 6.7452
D) 2.3156
E) 3.4891
A study was recently performed by the Canada Revenue Agency to determine how much tip income waiters and waitresses would make based on the size of the bill at the table. A random sample of bills and resulting tips was collected. These data and regression results are as follows:
In testing the null hypothesis that the correlation coefficient, ρ, equals 0, the correct value of the test statistic is
A) 7.5634
B) 5.1702
C) 6.7452
D) 2.3156
E) 3.4891
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