Question 1

The following information regarding a dependent variable (y) and an independent variable (x) is provided.   ​ SSE = 1.9
SST = 6.8
​
The coefficient of correlation is

Accepted Answer

A)  .8489. 
B)  -.7206. 
C)  .7206. 
D)  .375. 
A)  .8489. 
B)  -.7206. 
C)  .7206. 
D)  .375. A

Question 2

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The mean square error (MSE) is

Accepted Answer

A)  1870. 
B)  13. 
C)  1974. 
D)  935. 
A)  1870. 
B)  13. 
C)  1974. 
D)  935. D

Question 3

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).   ​ The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923. 
A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923. D

Question 4

You are given the following information about y and x.   ​ The coefficient of determination equals

Accepted Answer

A)  .5. 
B)  -.5. 
C)  .25. 
D)  -.25. 
A)  .5. 
B)  -.5. 
C)  .25. 
D)  -.25.

Question 5

In regression analysis, the unbiased estimate of the variance is

Accepted Answer

A)  coefficient of correlation. 
B)  coefficient of determination. 
C)  mean square error. 
D)  slope of the regression equation. 
A)  coefficient of correlation. 
B)  coefficient of determination. 
C)  mean square error. 
D)  slope of the regression equation.

Question 6

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 7

Given the following regression source table, is the model significant at the .05 level using the critical value approach?   ​

Accepted Answer

Yes, the calculated

Question 8

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

Accepted Answer

A)  slope. 
B)  y-intercept. 
C)  independent variable. 
D)  dependent or response variable. 
A)  slope. 
B)  y-intercept. 
C)  independent variable. 
D)  dependent or response variable.

Question 9

You are given the following information about y and x.   ​ The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  -12. 
B)  12. 
C)  .5. 
D)  -.5. 
A)  -12. 
B)  12. 
C)  .5. 
D)  -.5.

Question 10

In a regression analysis, if SST = 4500 and SSR = 2925, then the correlation coefficient could be

Accepted Answer

A)  .35 or -.35. 
B)  .806 or -.806. 
C)  1. 
D)  .65 or -.65. 
A)  .35 or -.35. 
B)  .806 or -.806. 
C)  1. 
D)  .65 or -.65.

Question 11

The primary tool for determining whether the assumptions made about the regression model are appropriate is

Accepted Answer

A)  ​interval estimation. 
B)  ​significance testing. 
C)  ​least squares regression. 
D)  ​residual analysis. 
A)  ​interval estimation. 
B)  ​significance testing. 
C)  ​least squares regression. 
D)  ​residual analysis.

Question 12

In a regression analysis, if SSE = 200 and SSR = 400, then the coefficient of determination is

Accepted Answer

A)  .67. 
B)  .50. 
C)  .40. 
D)  .20. 
A)  .67. 
B)  .50. 
C)  .40. 
D)  .20.

Question 13

Given the following information, when testing the least squares regression model would the model be significant at 5%?

Accepted Answer

A) Yes, p-value .1285 > .05. B) No, p-value .1285 > .05. C) Answer cannot be determined. D) Yes, p-value .1285 < .05. A) Yes, p-value .1285 > .05. B) No, p-value .1285 > .05. C) Answer cannot be determined. D) Yes, p-value .1285 < .05.

Question 14

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 15

Given the following regression source table, is the model significant at the .05 level? Explain.

Accepted Answer

Yes, the p-value is

Question 16

Regression analysis was applied between sales (y in $1000) and advertising (x in $100) and the following estimated regression equation was obtained. ​   = 80 + 6.2x
​
Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

Accepted Answer

A)  $62,080. 
B)  $142,000. 
C)  $700. 
D)  $700,000. 
A)  $62,080. 
B)  $142,000. 
C)  $700. 
D)  $700,000.

Question 17

For the following data, the value of SSE = 12.75.   ​ The slope of the regression equation is

Accepted Answer

A)  18. 
B)  24.25. 
C)  .71. 
D)  -1.5. 
A)  18. 
B)  24.25. 
C)  .71. 
D)  -1.5.

Question 18

You are given the following information about y and x. ​   ​
The least squares estimate of the intercept or b0 equals

Accepted Answer

A)  1. 
B)  -2. 
C)  12. 
D)  4. 
A)  1. 
B)  -2. 
C)  12. 
D)  4.

Question 19

It is possible for the coefficient of determination to be

Accepted Answer

A)  larger than 1. 
B)  less than 1. 
C)  less than -1. 
D)  equal to -1. 
A)  larger than 1. 
B)  less than 1. 
C)  less than -1. 
D)  equal to -1.

Question 20

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. ​   = 12 + 1.8x
​
N = 17
SSR = 225
SSE = 75
Sb1 = .2683
The t statistic for testing the significance of the slope is

Accepted Answer

A)  1.80. 
B)  1.96. 
C)  6.71. 
D)  .56. 
A)  1.80. 
B)  1.96. 
C)  6.71. 
D)  .56.

The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9 SST = 6.8 The coefficient of correlation is

The following information regarding a dependent variable y and an independent variable x is provided: The mean square error (MSE) is

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). The least squares estimate of the intercept or b₀ equals

You are given the following information about y and x. The coefficient of determination equals

In regression analysis, the unbiased estimate of the variance is

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

Given the following regression source table, is the model significant at the .05 level using the critical value approach?

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

You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals

In a regression analysis, if SST = 4500 and SSR = 2925, then the correlation coefficient could be

The primary tool for determining whether the assumptions made about the regression model are appropriate is

In a regression analysis, if SSE = 200 and SSR = 400, then the coefficient of determination is

Given the following information, when testing the least squares regression model would the model be significant at 5%?

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

Given the following regression source table, is the model significant at the .05 level? Explain.

Regression analysis was applied between sales (y in $1000) and advertising (x in $100) and the following estimated regression equation was obtained. = 80 + 6.2x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

For the following data, the value of SSE = 12.75. The slope of the regression equation is

You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals

It is possible for the coefficient of determination to be

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. = 12 + 1.8x N = 17 SSR = 225 SSE = 75 Sb₁ = .2683 The t statistic for testing the significance of the slope is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Filters

Exam 14: Simple Linear Regression

The following information regarding a dependent variable (y) and an independent variable (x) is provided. ​ SSE = 1.9 SST = 6.8 ​ The coefficient of correlation is

The following information regarding a dependent variable y and an independent variable x is provided: ​ The mean square error (MSE) is

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). ​ The least squares estimate of the intercept or b0 equals

You are given the following information about y and x. ​ The coefficient of determination equals

In regression analysis, the unbiased estimate of the variance is

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

Given the following regression source table, is the model significant at the .05 level using the critical value approach? ​

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

You are given the following information about y and x. ​ The least squares estimate of the intercept or b0 equals

In a regression analysis, if SST = 4500 and SSR = 2925, then the correlation coefficient could be

The primary tool for determining whether the assumptions made about the regression model are appropriate is

In a regression analysis, if SSE = 200 and SSR = 400, then the coefficient of determination is

Given the following information, when testing the least squares regression model would the model be significant at 5%?

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

Given the following regression source table, is the model significant at the .05 level? Explain.

Regression analysis was applied between sales (y in $1000) and advertising (x in $100) and the following estimated regression equation was obtained. ​ = 80 + 6.2x ​ Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

For the following data, the value of SSE = 12.75. ​ The slope of the regression equation is

You are given the following information about y and x. ​ ​ The least squares estimate of the intercept or b0 equals

It is possible for the coefficient of determination to be

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. ​ = 12 + 1.8x ​ N = 17 SSR = 225 SSE = 75 Sb1 = .2683 The t statistic for testing the significance of the slope is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Filters

The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9 SST = 6.8 The coefficient of correlation is

The following information regarding a dependent variable y and an independent variable x is provided: The mean square error (MSE) is

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). The least squares estimate of the intercept or b₀ equals

You are given the following information about y and x. The coefficient of determination equals

Given the following regression source table, is the model significant at the .05 level using the critical value approach?

You are given the following information about y and x. The least squares estimate of the intercept or b₀ 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 (y in $1000) and advertising (x in $100) and the following estimated regression equation was obtained. = 80 + 6.2x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

For the following data, the value of SSE = 12.75. The slope of the regression equation is

You are given the following information about y and x. The least squares estimate of the intercept or b₀ equals

Regression analysis was applied between sales data (y in $1000s) and advertising data (x in $100s) and the following information was obtained. = 12 + 1.8x N = 17 SSR = 225 SSE = 75 Sb₁ = .2683 The t statistic for testing the significance of the slope is