Question 1

If the coefficient of determination is .95, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A)  .95%. 
B)  95%. 
C)  90.25%. 
D)  .9025%. 
A)  .95%. 
B)  95%. 
C)  90.25%. 
D)  .9025%.

Question 2

Given the following information, the coefficient of determination is   SSE = 420.4, SST = 1028.8

Accepted Answer

A)  .7690. 
B)  -.5914. 
C)  .5914. 
D)  .4086. 
A)  .7690. 
B)  -.5914. 
C)  .5914. 
D)  .4086.

Question 3

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The sum of squares due to error (SSE) is

Accepted Answer

A)  -156. 
B)  234. 
C)  1870. 
D)  1974. 
A)  -156. 
B)  234. 
C)  1870. 
D)  1974.

Question 4

Given the following information, what is the least squares estimate of the slope?

Accepted Answer

A)  5. 
B)  7.8. 
C)  47.6. 
D)  11.8. 
A)  5. 
B)  7.8. 
C)  47.6. 
D)  11.8.

Question 5

In regression analysis, if the independent variable is measured in pounds, the dependent variable

Accepted Answer

A)  must also be in pounds. 
B)  must be in some unit of weight. 
C)  cannot be in pounds. 
D)  can be measured in any units. 
A)  must also be in pounds. 
B)  must be in some unit of weight. 
C)  cannot be in pounds. 
D)  can be measured in any units.

Question 6

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. ​   = 500 + 4x
​
Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

Accepted Answer

A)  $900. 
B)  $900,000. 
C)  $40,500. 
D)  $505,000. 
A)  $900. 
B)  $900,000. 
C)  $40,500. 
D)  $505,000.

Question 7

In regression analysis, the model in the form y =   +   x + ε is called the

Accepted Answer

A)  regression equation. 
B)  correlation model. 
C)  estimated regression equation. 
D)  regression model 
A)  regression equation. 
B)  correlation model. 
C)  estimated regression equation. 
D)  regression model

Question 8

You are given the following information about y and x.   ​ The least squares estimate of the slope or b1 equals

Accepted Answer

A)  1. 
B)  -1. 
C)  -10.75. 
D)  10.75. 
A)  1. 
B)  -1. 
C)  -10.75. 
D)  10.75.

Question 9

Larger values of r2 imply that the observations are more closely grouped about the

Accepted Answer

A)  average value of the independent variables. 
B)  average value of the dependent variable. 
C)  least squares line. 
D)  origin. 
A)  average value of the independent variables. 
B)  average value of the dependent variable. 
C)  least squares line. 
D)  origin.

Question 10

For the following data, the value of SSE = 12.75.   ​ The total sum of squares (SST) equals

Accepted Answer

A)  30.75. 
B)  18. 
C)  6.375. 
D)  12.75. 
A)  30.75. 
B)  18. 
C)  6.375. 
D)  12.75.

Question 11

If only MSE is known, you can compute the

Accepted Answer

A)  r-square. 
B)  coefficient of correlation. 
C)  standard error. 
D)  ith residual. 
A)  r-square. 
B)  coefficient of correlation. 
C)  standard error. 
D)  ith residual.

Question 12

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).   ​ The sum of squares due to regression (SSR) is

Accepted Answer

A)  1434. 
B)  505.98. 
C)  50.598. 
D)  928.02. 
A)  1434. 
B)  505.98. 
C)  50.598. 
D)  928.02.

Question 13

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. ​   = 50 + 8x
​
Based on the above estimated regression line, if advertising is $1000, then the point estimate for sales (in dollars) is

Accepted Answer

A)  $8050. 
B)  $130. 
C)  $130,000. 
D)  $1,300,000. 
A)  $8050. 
B)  $130. 
C)  $130,000. 
D)  $1,300,000.

Question 14

For the following data, the value of SSE = 12.75.   ​ The y-intercept is

Accepted Answer

A)  -1.5. 
B)  24.25. 
C)  .50. 
D)  -.71. 
A)  -1.5. 
B)  24.25. 
C)  .50. 
D)  -.71.

Question 15

Part of an Excel output relating x (independent variable) and y (dependent variable) is shown below. Fill in all the blanks marked with "?".   ​   ​

Accepted Answer

The answer of Part of an Excel output relating x...

Question 16

The standard error of the estimate is the

Accepted Answer

A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE. 
A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE.

Question 17

In regression analysis, the model in the form y =   ,   is the

Accepted Answer

A)  slope. 
B)  y-intercept. 
C)  estimated regression equation. 
D)  independent variable. 
A)  slope. 
B)  y-intercept. 
C)  estimated regression equation. 
D)  independent variable.

Question 18

The value of the coefficient of correlation (r)

Accepted Answer

A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2). 
A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2).

Question 19

The interval estimate of the mean value of y for a given value of x is the

Accepted Answer

A)  prediction interval estimate. 
B)  confidence interval estimate. 
C)  average regression interval. 
D)  x versus y correlation interval. 
A)  prediction interval estimate. 
B)  confidence interval estimate. 
C)  average regression interval. 
D)  x versus y correlation interval.

Question 20

As the value of the coefficient of determination increases, the

Accepted Answer

A)  absolute value of the regression equation's slope decreases. 
B)  total number of degrees of freedom increases. 
C)  goodness of fit for the estimated regression equation increases. 
D)  value of the correlation coefficient decreases. 
A)  absolute value of the regression equation's slope decreases. 
B)  total number of degrees of freedom increases. 
C)  goodness of fit for the estimated regression equation increases. 
D)  value of the correlation coefficient decreases.

Exam 14: Simple Linear Regression

If the coefficient of determination is .95, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Given the following information, the coefficient of determination is SSE = 420.4, SST = 1028.8

The following information regarding a dependent variable y and an independent variable x is provided: ​ The sum of squares due to error (SSE) is

Given the following information, what is the least squares estimate of the slope?

In regression analysis, if the independent variable is measured in pounds, the dependent variable

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. ​ = 500 + 4x ​ Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

In regression analysis, the model in the form y = + x + ε is called the

You are given the following information about y and x. ​ The least squares estimate of the slope or b1 equals

Larger values of r2 imply that the observations are more closely grouped about the

For the following data, the value of SSE = 12.75. ​ The total sum of squares (SST) equals

If only MSE is known, you can compute the

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). ​ The sum of squares due to regression (SSR) is

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. ​ = 50 + 8x ​ Based on the above estimated regression line, if advertising is $1000, then the point estimate for sales (in dollars) is

For the following data, the value of SSE = 12.75. ​ The y-intercept is

Part of an Excel output relating x (independent variable) and y (dependent variable) is shown below. Fill in all the blanks marked with "?". ​ ​

The standard error of the estimate is the

In regression analysis, the model in the form y = , is the

The value of the coefficient of correlation (r)

The interval estimate of the mean value of y for a given value of x is the

As the value of the coefficient of determination increases, the

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The following information regarding a dependent variable y and an independent variable x is provided: The sum of squares due to error (SSE) is

Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. = 500 + 4x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

You are given the following information about y and x. The least squares estimate of the slope or b₁ equals

Larger values of r² imply that the observations are more closely grouped about the

For the following data, the value of SSE = 12.75. The total sum of squares (SST) equals

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). The sum of squares due to regression (SSR) is

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. = 50 + 8x Based on the above estimated regression line, if advertising is $1000, then the point estimate for sales (in dollars) is

For the following data, the value of SSE = 12.75. The y-intercept is

Part of an Excel output relating x (independent variable) and y (dependent variable) is shown below. Fill in all the blanks marked with "?".