Question 1

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.

Question 2

If the coefficient of correlation is .8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A)  .85%. 
B)  85%. 
C)  .7225%. 
D)  72.25%. 
A)  .85%. 
B)  85%. 
C)  .7225%. 
D)  72.25%.

Question 3

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.

Question 4

In a regression and correlation analysis, if r2 = 1, then

Accepted Answer

A)  SSE = SST. 
B)  SSE = 1. 
C)  SSR = SSE. 
D)  SSR = SST. 
A)  SSE = SST. 
B)  SSE = 1. 
C)  SSR = SSE. 
D)  SSR = SST.

Question 5

In a simple linear regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then

Accepted Answer

A)  there is a positive correlation between x and y. 
B)  if x is increased, y must also increase. 
C)  if y is increased, x must also increase. 
D)  the estimated regression line intercepts the positive y-axis. 
A)  there is a positive correlation between x and y. 
B)  if x is increased, y must also increase. 
C)  if y is increased, x must also increase. 
D)  the estimated regression line intercepts the positive y-axis.

Question 6

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

Accepted Answer

A)  must also be in dollars. 
B)  must be in some units of currency. 
C)  can be measured in any units. 
D)  cannot be in dollars. 
A)  must also be in dollars. 
B)  must be in some units of currency. 
C)  can be measured in any units. 
D)  cannot be in dollars.

Question 7

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: ​   = 9 - 4x
​
The above equation implies that if the price is increased by $1, the demand is expected to

Accepted Answer

A)  increase by 5 units. 
B)  decrease by 4 units. 
C)  decrease by 5000 units. 
D)  decrease by 4000 units. 
A)  increase by 5 units. 
B)  decrease by 4 units. 
C)  decrease by 5000 units. 
D)  decrease by 4000 units.

Question 8

If a data set produces a coefficient of determination of .36, is this enough information to determine the correlation coefficient? Explain.

Accepted Answer

No, the coefficient of determi

Question 9

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 10

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 11

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The y-intercept is

Accepted Answer

A)  -.667. 
B)  .667. 
C)  100. 
D)  -100. 
A)  -.667. 
B)  .667. 
C)  100. 
D)  -100.

Question 12

If there is a very weak correlation between two variables, then the coefficient of determination must be

Accepted Answer

A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to one. 
D)  closer or equal to zero. 
A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to one. 
D)  closer or equal to zero.

Question 13

To calculate the residual, you would take

Accepted Answer

A)  yi -

B)    - yi 
C)  xi -   
D)  xi -

A)  yi -

B)    - yi 
C)  xi -   
D)  xi -

Question 14

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 15

If there is a very strong correlation between two variables, then the coefficient of determination must be

Accepted Answer

A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to zero. 
D)  closer or equal to 1. 
A)  much larger than 1, if the correlation is positive. 
B)  much smaller than -1, if the correlation is negative. 
C)  equal to zero. 
D)  closer or equal to 1.

Question 16

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The coefficient of correlation is

Accepted Answer

A)  -.2295. 
B)  .2295. 
C)  .0572. 
D)  -.0572. 
A)  -.2295. 
B)  .2295. 
C)  .0572. 
D)  -.0572.

Question 17

If the coefficient of correlation is .7, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A)  70%. 
B)  49%. 
C)  30%. 
D)  -51%. 
A)  70%. 
B)  49%. 
C)  30%. 
D)  -51%.

Question 18

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)  -2. 
C)  3. 
D)  12. 
A)  1. 
B)  -2. 
C)  3. 
D)  12.

Question 19

Given the following information, the least squares regression line would give a predicted value for x = 4 of

Accepted Answer

A)  78.8. 
B)  47.6. 
C)  80. 
D)  11.8. 
A)  78.8. 
B)  47.6. 
C)  80. 
D)  11.8.

Question 20

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

Accepted Answer

A)  .6472. 
B)  .3528. 
C)  .8045. 
D)  .5490. 
A)  .6472. 
B)  .3528. 
C)  .8045. 
D)  .5490.

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

If the coefficient of correlation is .8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

As the value of the coefficient of determination increases, the

In a regression and correlation analysis, if r² = 1, then

In a simple linear regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then

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

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: = 9 - 4x The above equation implies that if the price is increased by $1, the demand is expected to

If a data set produces a coefficient of determination of .36, is this enough information to determine the correlation coefficient? Explain.

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

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: The y-intercept is

If there is a very weak correlation between two variables, then the coefficient of determination must be

To calculate the residual, you would take

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

If there is a very strong correlation between two variables, then the coefficient of determination must be

The following information regarding a dependent variable y and an independent variable x is provided: The coefficient of correlation is

If the coefficient of correlation is .7, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

Given the following information, the least squares regression line would give a predicted value for x = 4 of

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

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

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

If the coefficient of correlation is .8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

As the value of the coefficient of determination increases, the

In a regression and correlation analysis, if r2 = 1, then

In a simple linear regression analysis (where y is a dependent and x an independent variable), if the y-intercept is positive, then

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

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: ​ = 9 - 4x ​ The above equation implies that if the price is increased by $1, the demand is expected to

If a data set produces a coefficient of determination of .36, is this enough information to determine the correlation coefficient? Explain.

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

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: ​ The y-intercept is

If there is a very weak correlation between two variables, then the coefficient of determination must be

To calculate the residual, you would take

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

If there is a very strong correlation between two variables, then the coefficient of determination must be

The following information regarding a dependent variable y and an independent variable x is provided: ​ The coefficient of correlation is

If the coefficient of correlation is .7, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

Given the following information, the least squares regression line would give a predicted value for x = 4 of

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

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

In a regression and correlation analysis, if r² = 1, then

A regression analysis between demand (y in 1000 units) and price (x in dollars) resulted in the following equation: = 9 - 4x The above equation implies that if the price is increased by $1, the demand is expected to

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

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: The y-intercept is

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

The following information regarding a dependent variable y and an independent variable x is provided: The coefficient of correlation is

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

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