Question 1

If two variables, x and y, have a strong linear relationship, then

Accepted Answer

A)  there may or may not be any causal relationship between x and y. 
B)  x causes y to happen. 
C)  y causes x to happen. 
D)  the F test is used to conclude there is a causal relationship between x and y. 
A)  there may or may not be any causal relationship between x and y. 
B)  x causes y to happen. 
C)  y causes x to happen. 
D)  the F test is used to conclude there is a causal relationship between x and y. A

Question 2

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

Accepted Answer

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

Question 3

When interpreting a correlation coefficient of .45, you would say that there is a _____ linear relationship between x and y.

Accepted Answer

A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative 
A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative B

Question 4

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 5

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

Accepted Answer

Yes, the p-value is

Question 6

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 7

Given the following information, what is the least squares estimate of the y-intercept?

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 8

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 9

In a regression analysis, if SST = 4500 and SSR = 2925, then the coefficient of determination is

Accepted Answer

A)  .35. 
B)  .65. 
C)  .85. 
D)  .45. 
A)  .35. 
B)  .65. 
C)  .85. 
D)  .45.

Question 10

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 11

When interpreting a correlation coefficient of .93, you would say that there is a _____ linear relationship between x and y.

Accepted Answer

A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative 
A)  strong positive 
B)  weak positive 
C)  weak negative 
D)  strong negative

Question 12

The model developed from sample data that has the form of   = b0 + b1x is known as 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 13

In simple linear regression analysis, which of the following is not true?

Accepted Answer

A)  The F test and the t test yield the same conclusion. 
B)  The F test and the t test may or may not yield the same conclusion. 
C)  The relationship between x and y is represented by a straight line. 
D)  The value of F = t2. 
A)  The F test and the t test yield the same conclusion. 
B)  The F test and the t test may or may not yield the same conclusion. 
C)  The relationship between x and y is represented by a straight line. 
D)  The value of F = t2.

Question 14

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.

Question 15

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 16

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 17

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 18

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 19

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

Accepted Answer

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

Question 20

In a regression analysis, the coefficient of correlation is .15. The coefficient of determination in this situation is

Accepted Answer

A)  .3873. 
B)  .0225. 
C)  4.00. 
D)  2.56. 
A)  .3873. 
B)  .0225. 
C)  4.00. 
D)  2.56.

Exam 14: Simple Linear Regression

If two variables, x and y, have a strong linear relationship, then

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

When interpreting a correlation coefficient of .45, you would say that there is a _____ linear relationship between x and y.

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

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

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

Given the following information, what is the least squares estimate of the y-intercept?

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

In a regression analysis, if SST = 4500 and SSR = 2925, then the coefficient of determination is

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

When interpreting a correlation coefficient of .93, you would say that there is a _____ linear relationship between x and y.

The model developed from sample data that has the form of = b0 + b1x is known as the

In simple linear regression analysis, which of the following is not true?

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

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​

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

The coefficient of correlation

It is possible for the coefficient of determination to be

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

In a regression analysis, the coefficient of correlation is .15. The coefficient of determination in this situation is

Data and Statistics

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Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

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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

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

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

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

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

The model developed from sample data that has the form of = b₀ + b₁x is known as the

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

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

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