Question 1

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

Accepted Answer

A)  -10. 
B)  10. 
C)  .5. 
D)  -.5. 
A)  -10. 
B)  10. 
C)  .5. 
D)  -.5.

Question 2

Regression analysis was applied and the least squares regression line was found to be   = 500 + 4x What would the residual be for an observed value of (3, 510)?

Accepted Answer

A)  2 
B)  512 
C)  510 
D)  -2 
A)  2 
B)  512 
C)  510 
D)  -2

Question 3

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
​
To perform an F test, the p-value is

Accepted Answer

A)  less than .01. 
B)  between .01 and .025. 
C)  between .025 and .05. 
D)  greater than .10. 
A)  less than .01. 
B)  between .01 and .025. 
C)  between .025 and .05. 
D)  greater than .10.

Question 4

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is the​

Accepted Answer

A)  ​standard error. 
B)  ​residual. 
C)  ​prediction interval. 
D)  ​variance. 
A)  ​standard error. 
B)  ​residual. 
C)  ​prediction interval. 
D)  ​variance.

Question 5

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
​
Based on the above estimated regression equation, if advertising is $3000, then the point estimate for sales (in dollars) is

Accepted Answer

A)  $66,000. 
B)  $5412. 
C)  $66. 
D)  $17,400. 
A)  $66,000. 
B)  $5412. 
C)  $66. 
D)  $17,400.

Question 6

The following information regarding a dependent variable (y) and an independent variable (x) is provided.   ​ SSE = 1.9
SST = 6.8
​
The least squares estimate of the y-intercept is

Accepted Answer

A)  1. 
B)  3.4. 
C)  3. 
D)  4.7. 
A)  1. 
B)  3.4. 
C)  3. 
D)  4.7.

Question 7

In regression analysis, which of the following assumptions is not true about the error term ε?

Accepted Answer

A)  The expected value of the error term is one. 
B)  The variance of the error term is the same for all values of x. 
C)  The values of the error term are independent. 
D)  The error term is normally distributed. 
A)  The expected value of the error term is one. 
B)  The variance of the error term is the same for all values of x. 
C)  The values of the error term are independent. 
D)  The error term is normally distributed.

Question 8

In a regression analysis, the standard error of the estimate is determined to be 4. In this situation, the MSE

Accepted Answer

A)  is 2. 
B)  is 16. 
C)  depends on the sample size. 
D)  requires a known SSE. 
A)  is 2. 
B)  is 16. 
C)  depends on the sample size. 
D)  requires a known SSE.

Question 9

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

Accepted Answer

A)  -.7303. 
B)  .7303. 
C)  -.5333. 
D)  .5333. 
A)  -.7303. 
B)  .7303. 
C)  -.5333. 
D)  .5333.

Question 10

The coefficient of determination

Accepted Answer

A)  cannot be negative. 
B)  is the square root of the coefficient of correlation. 
C)  is the same as the coefficient of correlation. 
D)  can be negative or positive. 
A)  cannot be negative. 
B)  is the square root of the coefficient of correlation. 
C)  is the same as the coefficient of correlation. 
D)  can be negative or positive.

Question 11

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

Accepted Answer

A)  one independent and one or more dependent variables are related. 
B)  several independent and several dependent variables are related. 
C)  one dependent and one or more independent variables are related. 
D)  one dependent, one independent, and several error variables are related. 
A)  one independent and one or more dependent variables are related. 
B)  several independent and several dependent variables are related. 
C)  one dependent and one or more independent variables are related. 
D)  one dependent, one independent, and several error variables are related.

Question 12

If a data set produces SSR = 300 and SSE = 200, then the coefficient of determination is

Accepted Answer

A)  .67. 
B)  .25. 
C)  .40. 
D)  .60. 
A)  .67. 
B)  .25. 
C)  .40. 
D)  .60.

Question 13

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 critical t value for testing the significance of the slope, at a .05 level of significance, is

Accepted Answer

A)  1.753. 
B)  2.131. 
C)  1.746. 
D)  2.120. 
A)  1.753. 
B)  2.131. 
C)  1.746. 
D)  2.120.

Question 14

In regression analysis, the error term ε is a random variable with a mean or expected value of

Accepted Answer

A)  0. 
B)  1. 
C)  μ. 
D)    . 
A)  0. 
B)  1. 
C)  μ. 
D)    .

Question 15

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 16

The following information regarding a dependent variable (y) and an independent variable (x) is provided. ​   ​
SSE = 1.9
SST = 6.8
​
The least squares estimate of the slope is

Accepted Answer

A)  1. 
B)  3.4. 
C)  3. 
D)  .7. 
A)  1. 
B)  3.4. 
C)  3. 
D)  .7.

Question 17

Given the following information, when testing the least squares regression model would give an F Statistic of

Accepted Answer

A)  4.342. 
B)  .1285. 
C)  2.084. 
D)  .058. 
A)  4.342. 
B)  .1285. 
C)  2.084. 
D)  .058.

Question 18

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).   ​ The sample correlation coefficient equals

Accepted Answer

A)  .8045. 
B)  -.8045. 
C)  .3528. 
D)  -.3528. 
A)  .8045. 
B)  -.8045. 
C)  .3528. 
D)  -.3528.

Question 19

A descriptive measure of the strength of linear association between two variables is the​

Accepted Answer

A)  ​coefficient of determination. 
B)  ​slope b1 of the estimated regression line. 
C)  ​standard error of the estimate. 
D)  ​correlation coefficient. 
A)  ​coefficient of determination. 
B)  ​slope b1 of the estimated regression line. 
C)  ​standard error of the estimate. 
D)  ​correlation coefficient.

Question 20

In a regression analysis, if SST = 500 and SSE = 200, then the coefficient of determination is

Accepted Answer

A)  .20. 
B)  .67. 
C)  .60. 
D)  .40. 
A)  .20. 
B)  .67. 
C)  .60. 
D)  .40.

Exam 14: Simple Linear Regression

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

Regression analysis was applied and the least squares regression line was found to be = 500 + 4x What would the residual be for an observed value of (3, 510)?

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 ​ To perform an F test, the p-value is

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is the​

The following information regarding a dependent variable (y) and an independent variable (x) is provided. ​ SSE = 1.9 SST = 6.8 ​ The least squares estimate of the y-intercept is

In regression analysis, which of the following assumptions is not true about the error term ε?

In a regression analysis, the standard error of the estimate is determined to be 4. In this situation, the MSE

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

The coefficient of determination

Regression analysis is a statistical procedure for developing a mathematical equation that describes how

If a data set produces SSR = 300 and SSE = 200, then the coefficient of determination is

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 critical t value for testing the significance of the slope, at a .05 level of significance, is

In regression analysis, the error term ε is a random variable with a mean or expected value of

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

The following information regarding a dependent variable (y) and an independent variable (x) is provided. ​ ​ SSE = 1.9 SST = 6.8 ​ The least squares estimate of the slope is

Given the following information, when testing the least squares regression model would give an F Statistic of

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). ​ The sample correlation coefficient equals

A descriptive measure of the strength of linear association between two variables is the​

In a regression analysis, if SST = 500 and SSE = 200, then the coefficient of determination 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

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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

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Regression Analysis: Model Building

Time Series Analysis and Forecasting

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You are given the following information about y and x. The least squares estimate of the slope or b₁ 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 To perform an F test, the p-value is

The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is the

The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9 SST = 6.8 The least squares estimate of the y-intercept is

You are given the following information about y and x. The coefficient of determination 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 critical t value for testing the significance of the slope, at a .05 level of significance, is

The following information regarding a dependent variable (y) and an independent variable (x) is provided. SSE = 1.9 SST = 6.8 The least squares estimate of the slope is

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). The sample correlation coefficient equals

A descriptive measure of the strength of linear association between two variables is the