Question 1

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

Accepted Answer

A)  4.9. 
B)  .63. 
C)  6.8. 
D)  1.9. 
A)  4.9. 
B)  .63. 
C)  6.8. 
D)  1.9.

Question 2

Given the following regression source table, can we say that the slope is significant at 5%?
​   ​

Accepted Answer

Yes, the p-value is

Question 3

In a regression analysis, the regression equation is given by y = 12 - 6x.If SSE = 510 and SST = 1000, then the coefficient of correlation is

Accepted Answer

A)  -.7. 
B)  +.7. 
C)  .49. 
D)  -.49. 
A)  -.7. 
B)  +.7. 
C)  .49. 
D)  -.49.

Question 4

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

Accepted Answer

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

Question 5

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the​

Accepted Answer

A)  ​correlation coefficient. 
B)  ​standard error of the estimate. 
C)  ​coefficient of determination. 
D)  ​confidence interval estimate. 
A)  ​correlation coefficient. 
B)  ​standard error of the estimate. 
C)  ​coefficient of determination. 
D)  ​confidence interval estimate.

Question 6

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 7

The coefficient of correlation

Accepted Answer

A)  is the square of the r-square. 
B)  is the square root of the r-square. 
C)  can never be equal to r-square. 
D)  can never be negative. 
A)  is the square of the r-square. 
B)  is the square root of the r-square. 
C)  can never be equal to r-square. 
D)  can never be negative.

Question 8

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

Question 9

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the​

Accepted Answer

A)  ​observed values of the independent variable and the predicted values of the independent variable. 
B)  ​observed values of the independent variable and the predicted values of the dependent variable. 
C)  ​observed values of the dependent variable and the predicted values of the dependent variable. 
D)  ​observed values of the dependent variable and the predicted values of the independent variable. 
A)  ​observed values of the independent variable and the predicted values of the independent variable. 
B)  ​observed values of the independent variable and the predicted values of the dependent variable. 
C)  ​observed values of the dependent variable and the predicted values of the dependent variable. 
D)  ​observed values of the dependent variable and the predicted values of the independent variable.

Question 10

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 11

If the coefficient of correlation is a negative value, then the coefficient of determination

Accepted Answer

A)  must also be negative. 
B)  must be zero. 
C)  can be either negative or positive. 
D)  will be positive. 
A)  must also be negative. 
B)  must be zero. 
C)  can be either negative or positive. 
D)  will be positive.

Question 12

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 13

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 14

You are given the following information about y and x.   ​ The sample correlation coefficient equals

Accepted Answer

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

Question 15

If the coefficient of determination is equal to 1, then the coefficient of correlation

Accepted Answer

A)  must also be +1. 
B)  can be either -1 or +1. 
C)  can be any value between -1 to +1. 
D)  must be -1. 
A)  must also be +1. 
B)  can be either -1 or +1. 
C)  can be any value between -1 to +1. 
D)  must be -1.

Question 16

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

Accepted Answer

A)  the correlation model. 
B)  the regression model. 
C)  correlation analysis. 
D)  estimation analysis. 
A)  the correlation model. 
B)  the regression model. 
C)  correlation analysis. 
D)  estimation analysis.

Question 17

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 18

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: ​   = 40 - 6x
​
The above equation implies that an

Accepted Answer

A)  increase of $1 in price is associated with a decrease of $6 in sales. 
B)  increase of $8 in price is associated with a decrease of $24,000 in sales. 
C)  increase of $1 in price is associated with a decrease of $240 in sales. 
D)  increase of $1 in price is associated with a decrease of $6000 in sales. 
A)  increase of $1 in price is associated with a decrease of $6 in sales. 
B)  increase of $8 in price is associated with a decrease of $24,000 in sales. 
C)  increase of $1 in price is associated with a decrease of $240 in sales. 
D)  increase of $1 in price is associated with a decrease of $6000 in sales.

Question 19

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 20

If a data set produces SST =1000 and SSE =600, then the coefficient of determination is

Accepted Answer

A)  .4. 
B)  .6. 
C)  .5. 
D)  .8. 
A)  .4. 
B)  .6. 
C)  .5. 
D)  .8.

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

Given the following regression source table, can we say that the slope is significant at 5%?

In a regression analysis, the regression equation is given by y = 12 - 6x.If SSE = 510 and SST = 1000, then the coefficient of correlation is

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

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the

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

The coefficient of correlation

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

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the

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

If the coefficient of correlation is a negative value, then the coefficient of determination

If only MSE is known, you can compute the

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

You are given the following information about y and x. The sample correlation coefficient equals

If the coefficient of determination is equal to 1, then the coefficient of correlation

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

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

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: = 40 - 6x The above equation implies that an

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

If a data set produces SST =1000 and SSE =600, 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

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

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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 MSE is

Given the following regression source table, can we say that the slope is significant at 5%? ​ ​

In a regression analysis, the regression equation is given by y = 12 - 6x.If SSE = 510 and SST = 1000, then the coefficient of correlation is

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

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the​

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

The coefficient of correlation

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

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the​

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

If the coefficient of correlation is a negative value, then the coefficient of determination

If only MSE is known, you can compute the

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

You are given the following information about y and x. ​ The sample correlation coefficient equals

If the coefficient of determination is equal to 1, then the coefficient of correlation

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

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

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: ​ = 40 - 6x ​ The above equation implies that an

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

If a data set produces SST =1000 and SSE =600, 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

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 MSE is

Given the following regression source table, can we say that the slope is significant at 5%?

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

The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the

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

Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared deviations between the

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

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

You are given the following information about y and x. The sample correlation coefficient equals

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

A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: = 40 - 6x The above equation implies that an