Exam 12: Simple Regression Analysis and Correlation

An F-value to test the overall significance of a regression model is computed by dividing the sum of squares regression (SS_reg)by the sum of squares error (SS_err).

(True/False)

5.0/5

(35)

Question 61

Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables. $Annie Mikhail, market analyst for a national company specializing in historic city tours, is analyzing the relationship between the sales revenue from historic city tours and the size of the city.She gathers data from six cities in which the tours are offered.Annie's dependent variable is annual sales revenues and her independent variable is the city population.Regression analysis of the data yielded the following tables. \begin{array}{|c|c|c|c|c|} \hline \text { Souros } & \text { df } & \text { SS } & \text { MS } & F \\ \hline \text { Regren } & 1 & 3.550325 & 3.550325 & 63.20809 \\ \hline \text { Residval } & 4 & 0224675 & 0.056169 & \\ \hline \text { Ilotal } & 5 & 3.775 & & \\ \hline \end{array} \begin{array} { | c | } \hline S _ { \mathrm { e} } = 0.237 \\ \hline r ^ { 2 } = 0.940448 \\ \hline \end{array} Annie's regression model can be written as: .$ Souros df SS MS F Regren 1 3.550325 3.550325 63.20809 Residval 4 0224675 0.056169 Ilotal 5 3.775 =0.237 =0.940448 Annie's regression model can be written as: .

(Multiple Choice)

4.8/5

(40)

Question 62

A confidence interval based on a specific value of x will reflect the range for the average value of the dependent variable.

(True/False)

4.9/5

(29)

Question 63

The standard error of the estimate, denoted s_e, is the square root of the sum of the squares of the vertical distances between the actual y values and the predicted values of ŷ.

(True/False)

4.9/5

(18)

Question 64

For a certain data set the regression equation is ŷ = 29 - 5x.The correlation coefficient between y and x in this data set _______.

(Multiple Choice)

4.8/5

(38)

Question 65

One of the assumptions of simple regression analysis is that the error terms are exponentially distributed

(True/False)

5.0/5

(38)

Question 66

A quality manager is developing a regression model to predict the total number of defects as a function of the day of the week that the item is produced.Production runs are done 10 hours a day, 7 days a week.The dependent variable is ______.

(Multiple Choice)

4.8/5

(34)

Question 67

The numerical value of the coefficient of determination must be _______.

(Multiple Choice)

4.9/5

(29)

Question 68

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two-tailed test and $\alpha$ = 0.10.The critical table t value is _______.

(Multiple Choice)

4.8/5

(36)

Question 69

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

(True/False)

4.8/5

(44)

Question 70

To determine whether the overall regression model is significant, an F-test is used.

(True/False)

5.0/5

(39)

Question 71

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, SS_xx= 89.333, and S_e= 3.44.The 90% confidence interval for y when x = 1 is ______.

(Multiple Choice)

4.8/5

(35)

Question 72

The proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x)is called the coefficient of correlation.

(True/False)

4.9/5

(39)

Question 73

Regression output from Excel software directly shows the regression equation.

(True/False)

4.8/5

(31)

Question 74

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

(Multiple Choice)

4.7/5

(23)

Question 75

In regression analysis, R-squared is also called the _______.

(Multiple Choice)

4.7/5

(34)

Question 76

One of the assumptions made in simple regression is that ______________.

(Multiple Choice)

4.9/5

(36)

Question 77

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 15,000 miles, the predicted cost is ____________.

(Multiple Choice)

4.8/5

(51)

Question 78

One of the assumptions made in simple regression is that ______________.

(Multiple Choice)

4.9/5

(41)

Question 79

Regression output from Minitab software includes an ANOVA table.

(True/False)

4.8/5

(39)

Question 80

Showing 61 - 80 of 111

An F-value to test the overall significance of a regression model is computed by dividing the sum of squares regression (SS_reg)by the sum of squares error (SS_err).

A confidence interval based on a specific value of x will reflect the range for the average value of the dependent variable.

The standard error of the estimate, denoted s_e, is the square root of the sum of the squares of the vertical distances between the actual y values and the predicted values of ŷ.

For a certain data set the regression equation is ŷ = 29 - 5x.The correlation coefficient between y and x in this data set _______.

One of the assumptions of simple regression analysis is that the error terms are exponentially distributed

A quality manager is developing a regression model to predict the total number of defects as a function of the day of the week that the item is produced.Production runs are done 10 hours a day, 7 days a week.The dependent variable is ______.

The numerical value of the coefficient of determination must be _______.

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two-tailed test and $\alpha$ = 0.10.The critical table t value is _______.

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

To determine whether the overall regression model is significant, an F-test is used.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, SS_xx= 89.333, and S_e= 3.44.The 90% confidence interval for y when x = 1 is ______.

The proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x)is called the coefficient of correlation.

Regression output from Excel software directly shows the regression equation.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

In regression analysis, R-squared is also called the _______.

One of the assumptions made in simple regression is that ______________.

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 15,000 miles, the predicted cost is ____________.

One of the assumptions made in simple regression is that ______________.

Regression output from Minitab software includes an ANOVA table.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 12: Simple Regression Analysis and Correlation

An F-value to test the overall significance of a regression model is computed by dividing the sum of squares regression (SSreg)by the sum of squares error (SSerr).

A confidence interval based on a specific value of x will reflect the range for the average value of the dependent variable.

The standard error of the estimate, denoted se, is the square root of the sum of the squares of the vertical distances between the actual y values and the predicted values of ŷ.

For a certain data set the regression equation is ŷ = 29 - 5x.The correlation coefficient between y and x in this data set _______.

One of the assumptions of simple regression analysis is that the error terms are exponentially distributed

A quality manager is developing a regression model to predict the total number of defects as a function of the day of the week that the item is produced.Production runs are done 10 hours a day, 7 days a week.The dependent variable is ______.

The numerical value of the coefficient of determination must be _______.

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two-tailed test and α\alphaα = 0.10.The critical table t value is _______.

In a simple regression the coefficient of correlation is the square root of the coefficient of determination.

To determine whether the overall regression model is significant, an F-test is used.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, SSxx = 89.333, and Se = 3.44.The 90% confidence interval for y when x = 1 is ______.

The proportion of variability of the dependent variable (y)accounted for or explained by the independent variable (x)is called the coefficient of correlation.

Regression output from Excel software directly shows the regression equation.

The equation of the trend line for the data based on sales (in $1000)of a local restaurant over the years 2005-2010 is Sales= -265575+132.571*year.The equation of the trend line when using 1 to 6 for 2005-2010 is ________

In regression analysis, R-squared is also called the _______.

One of the assumptions made in simple regression is that ______________.

A manager wishes to predict the annual cost (y)of an automobile based on the number of miles (x)driven.The following model was developed: ŷ = 2,000 + 0.42x.If a car is driven 15,000 miles, the predicted cost is ____________.

One of the assumptions made in simple regression is that ______________.

Regression output from Minitab software includes an ANOVA table.

Introduction to Statistics and Business Analytics

Visualizing Data With Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Multiple Regression Analysis

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

An F-value to test the overall significance of a regression model is computed by dividing the sum of squares regression (SS_reg)by the sum of squares error (SS_err).

The standard error of the estimate, denoted s_e, is the square root of the sum of the squares of the vertical distances between the actual y values and the predicted values of ŷ.

A researcher has developed a regression model from fifteen pairs of data points.He wants to test if the slope is significantly different from zero.He uses a two-tailed test and $\alpha$ = 0.10.The critical table t value is _______.

A researcher has developed the regression equation ŷ = 2.164 + 1.3657x, where n = 6, the mean of x is 8.667, SS_xx= 89.333, and S_e= 3.44.The 90% confidence interval for y when x = 1 is ______.