Exam 14: Introduction to Linear Regression and Correlation Analysis

Use the following regression results to answer the question below. ANOVA In conducting a hypothesis test of the slope using a 0.05 level of significance,which of the following is correct?

(Multiple Choice)

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Question 101

A manufacturing company is interested in predicting the number of defects that will be produced each hour on the assembly line.The managers believe that there is a relationship between the defect rate and the production rate per hour.The managers believe that they can use production rate to predict the number of defects.The following data were collected for 10 randomly selected hours. Given these sample data,the simple linear regression model for predicting the number of defects is approximately = 5.67 + 0.048x.

(True/False)

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Question 102

Explain why it is important to construct scatter plots prior to conducting regression analysis.

(Essay)

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Question 103

A nation job placement company is interested in developing a model that might be used to explain the variation in starting salaries for college graduates based on the college GPA.The following data were collected through a random sample of the clients with which this company has been associated. Based on this sample information,determine the least squares regression model,determine what percent of the variation in starting salaries is explained by GPA,and test to determine whether the regression model is statistically significant at the 0.05 level of significance.Also,develop a scatter plot of the data and locate the regression line on the scatter plot.

(Essay)

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Question 104

When regression analysis is used for descriptive purposes,two of the main items of interest are whether the sign on the regression slope coefficient is positive or negative and whether the regression slope coefficient is significantly different from zero.

(True/False)

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Question 105

If you were going to develop a scatter plot for the purpose of determining whether one of the assumptions of the regression model is being satisfied,which of the following is true?

(Multiple Choice)

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Question 106

State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed: In testing the significance of the regression slope coefficient for the independent variable,HOURS,the calculated test statistic is approximately t = -1.47.

(True/False)

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Question 107

When a pair of variables has a positive correlation,the slope in the regression equation will always be positive.

(True/False)

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Question 108

Which of the following statements is true in simple linear regression?

(Multiple Choice)

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Question 109

The following regression output was generated based on a sample of utility customers.The dependent variable was the dollar amount of the monthly bill and the independent variable was the size of the house in square feet. Based on this regression output,which of the following statements is not true?

(Multiple Choice)

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Question 110

Given a sample correlation r = -0.5 and a sample size of n = 30,the test statistic for testing whether the two variables are significantly correlated is approximately t = -3.055.

(True/False)

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Question 111

The following regression output is available.Notice that some of the values are missing. Given this information,what is the standard error of the estimate for the regression model?

(Multiple Choice)

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Question 112

If a set of data contains no values of x that are equal to zero,then the regression coefficient,b₀,has no particular meaning.

(True/False)

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Question 113

A study was recently done in which the following regression output was generated using Excel. SUMMARY OUTPUT ANOVA Given this output,we would reject the null hypothesis that the population regression slope coefficient is equal to zero at the alpha = 0.05 level.

(True/False)

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Question 114

Which of the following statements is true?

(Multiple Choice)

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Question 115

Residual analysis is conducted to check whether regression assumptions are met.Which of the following is not an assumption made in simple linear regression?

(Multiple Choice)

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Question 116

The sign on the intercept coefficient in a simple regression model will always be the same as the sign on the correlation coefficient.

(True/False)

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Question 117

The sum of the residuals in a least squares regression model will be zero only when the correlation between the x and y variables is statistically significant.

(True/False)

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Question 118

A study was recently conducted by Major League Baseball to determine whether there is a correlation between attendance at games and the record of home team's opponent.In this study,the dependent variable would be the record of the home team's opponent.

(True/False)

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Question 119

If two variables are uncorrelated,the sample correlation coefficient will be r = 0.00.

(True/False)

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Question 120

Showing 101 - 120 of 136

Use the following regression results to answer the question below. ANOVA In conducting a hypothesis test of the slope using a 0.05 level of significance,which of the following is correct?

Explain why it is important to construct scatter plots prior to conducting regression analysis.

When regression analysis is used for descriptive purposes,two of the main items of interest are whether the sign on the regression slope coefficient is positive or negative and whether the regression slope coefficient is significantly different from zero.

If you were going to develop a scatter plot for the purpose of determining whether one of the assumptions of the regression model is being satisfied,which of the following is true?

When a pair of variables has a positive correlation,the slope in the regression equation will always be positive.

Which of the following statements is true in simple linear regression?

The following regression output was generated based on a sample of utility customers.The dependent variable was the dollar amount of the monthly bill and the independent variable was the size of the house in square feet. Based on this regression output,which of the following statements is not true?

Given a sample correlation r = -0.5 and a sample size of n = 30,the test statistic for testing whether the two variables are significantly correlated is approximately t = -3.055.

The following regression output is available.Notice that some of the values are missing. Given this information,what is the standard error of the estimate for the regression model?

If a set of data contains no values of x that are equal to zero,then the regression coefficient,b₀,has no particular meaning.

A study was recently done in which the following regression output was generated using Excel. SUMMARY OUTPUT ANOVA Given this output,we would reject the null hypothesis that the population regression slope coefficient is equal to zero at the alpha = 0.05 level.

Which of the following statements is true?

Residual analysis is conducted to check whether regression assumptions are met.Which of the following is not an assumption made in simple linear regression?

The sign on the intercept coefficient in a simple regression model will always be the same as the sign on the correlation coefficient.

The sum of the residuals in a least squares regression model will be zero only when the correlation between the x and y variables is statistically significant.

A study was recently conducted by Major League Baseball to determine whether there is a correlation between attendance at games and the record of home team's opponent.In this study,the dependent variable would be the record of the home team's opponent.

If two variables are uncorrelated,the sample correlation coefficient will be r = 0.00.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

Exam 14: Introduction to Linear Regression and Correlation Analysis

Use the following regression results to answer the question below. ANOVA In conducting a hypothesis test of the slope using a 0.05 level of significance,which of the following is correct?

Explain why it is important to construct scatter plots prior to conducting regression analysis.

When regression analysis is used for descriptive purposes,two of the main items of interest are whether the sign on the regression slope coefficient is positive or negative and whether the regression slope coefficient is significantly different from zero.

If you were going to develop a scatter plot for the purpose of determining whether one of the assumptions of the regression model is being satisfied,which of the following is true?

When a pair of variables has a positive correlation,the slope in the regression equation will always be positive.

Which of the following statements is true in simple linear regression?

The following regression output was generated based on a sample of utility customers.The dependent variable was the dollar amount of the monthly bill and the independent variable was the size of the house in square feet. Based on this regression output,which of the following statements is not true?

Given a sample correlation r = -0.5 and a sample size of n = 30,the test statistic for testing whether the two variables are significantly correlated is approximately t = -3.055.

The following regression output is available.Notice that some of the values are missing. Given this information,what is the standard error of the estimate for the regression model?

If a set of data contains no values of x that are equal to zero,then the regression coefficient,b0,has no particular meaning.

A study was recently done in which the following regression output was generated using Excel. SUMMARY OUTPUT ANOVA Given this output,we would reject the null hypothesis that the population regression slope coefficient is equal to zero at the alpha = 0.05 level.

Which of the following statements is true?

Residual analysis is conducted to check whether regression assumptions are met.Which of the following is not an assumption made in simple linear regression?

The sign on the intercept coefficient in a simple regression model will always be the same as the sign on the correlation coefficient.

The sum of the residuals in a least squares regression model will be zero only when the correlation between the x and y variables is statistically significant.

A study was recently conducted by Major League Baseball to determine whether there is a correlation between attendance at games and the record of home team's opponent.In this study,the dependent variable would be the record of the home team's opponent.

If two variables are uncorrelated,the sample correlation coefficient will be r = 0.00.

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

Filters

If a set of data contains no values of x that are equal to zero,then the regression coefficient,b₀,has no particular meaning.