Question 1

In simple linear regression, r2 is the​

Accepted Answer

A)  ​mean square error. 
B)  ​correlation coefficient. 
C)  squared residual. 
D)  ​coefficient of determination. 
A)  ​mean square error. 
B)  ​correlation coefficient. 
C)  squared residual. 
D)  ​coefficient of determination.

Question 2

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

Accepted Answer

A)  the correlation coefficient is a positive number. 
B)  the correlation coefficient is 0. 
C)  the correlation coefficient is a negative number. 
D)  the F test is used to conclude there is a causal relationship between x and y. 
A)  the correlation coefficient is a positive number. 
B)  the correlation coefficient is 0. 
C)  the correlation coefficient is a negative number. 
D)  the F test is used to conclude there is a causal relationship between x and y.

Question 3

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.

Question 4

It is not possible for the coefficient of determination to be

Accepted Answer

A)  larger than 1. 
B)  less than 1. 
C)  between 0 and 1. 
D)  equal to 1. 
A)  larger than 1. 
B)  less than 1. 
C)  between 0 and 1. 
D)  equal to 1.

Question 5

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 6

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 7

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

Accepted Answer

A)  intercept of the regression line must also be positive. 
B)  coefficient of determination can be either a negative or a positive value, depending on the slope. 
C)  regression equation could have either a positive or a negative slope. 
D)  slope of the regression line must be negative. 
A)  intercept of the regression line must also be positive. 
B)  coefficient of determination can be either a negative or a positive value, depending on the slope. 
C)  regression equation could have either a positive or a negative slope. 
D)  slope of the regression line must be negative.

Question 8

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 9

Correlation analysis is used to determine

Accepted Answer

A)  the equation of the regression line. 
B)  the strength of the linear relationship between the dependent and the independent variables. 
C)  a specific value of the dependent variable for a given value of the independent variable. 
D)  a cause-and-effect relationship between the dependent and the independent variables. 
A)  the equation of the regression line. 
B)  the strength of the linear relationship between the dependent and the independent variables. 
C)  a specific value of the dependent variable for a given value of the independent variable. 
D)  a cause-and-effect relationship between the dependent and the independent variables.

Question 10

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 11

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 12

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 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
​
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 14

A least squares regression line

Accepted Answer

A)  can be used to predict a value of y if the corresponding x value is given. 
B)  implies a cause-and-effect relationship between x and y. 
C)  can only be determined if a good linear relationship exists between x and y. 
D)  ensures that the predictions of y outside the range of the values of x are valid. 
A)  can be used to predict a value of y if the corresponding x value is given. 
B)  implies a cause-and-effect relationship between x and y. 
C)  can only be determined if a good linear relationship exists between x and y. 
D)  ensures that the predictions of y outside the range of the values of x are valid.

Question 15

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A)  40%. 
B)  16%. 
C)  4%. 
D)  63%. 
A)  40%. 
B)  16%. 
C)  4%. 
D)  63%.

Question 16

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 17

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

Accepted Answer

A)  must also be positive. 
B)  must be zero. 
C)  can be either positive or negative. 
D)  can be larger than 1. 
A)  must also be positive. 
B)  must be zero. 
C)  can be either positive or negative. 
D)  can be larger than 1.

Question 18

In the following estimated regression equation   = b0 + b1x,

Accepted Answer

A)  b1 is the slope. 
B)  b1 is the intercept. 
C)  b1x is the slope. 
D)  b1x is the intercept. 
A)  b1 is the slope. 
B)  b1 is the intercept. 
C)  b1x is the slope. 
D)  b1x is the intercept.

Question 19

If the coefficient of correlation is .80, then the coefficient of determination

Accepted Answer

A)  is also .80. 
B)  is either .64 or -.64. 
C)  will be -.80. 
D)  must be .64. 
A)  is also .80. 
B)  is either .64 or -.64. 
C)  will be -.80. 
D)  must be .64.

Question 20

The standard error of the estimate is the

Accepted Answer

A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE. 
A)  standard deviation of t. 
B)  square root of SSE. 
C)  square root of SST. 
D)  square root of MSE.

In simple linear regression, r² is the

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

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

It is not possible for the coefficient of determination to be

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

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

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

Correlation analysis is used to determine

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

The coefficient of determination

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

A least squares regression line

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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)?

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

In the following estimated regression equation = b₀ + b₁x,

If the coefficient of correlation is .80, then the coefficient of determination

The standard error of the estimate is the

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Exam 14: Simple Linear Regression

In simple linear regression, r2 is the​

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

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

It is not possible for the coefficient of determination to be

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

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

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

Correlation analysis is used to determine

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

The coefficient of determination

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

A least squares regression line

If the coefficient of correlation is .4, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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)?

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

In the following estimated regression equation = b0 + b1x,

If the coefficient of correlation is .80, then the coefficient of determination

The standard error of the estimate is the

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 simple linear regression, r² 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

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

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

In the following estimated regression equation = b₀ + b₁x,