Question 1

A regression line was calculated as   . The slope of this line is -3.2.

Accepted Answer

A) True 
 B)False

Question 2

In a multiple regression model y' = -11 + 4x1 + 11x2 + 7x3 + 3x4, if the value of x2 increases by 2 and the value of x3 decreases by 5, then the predicted value for y will

Accepted Answer

A)  decrease by 57. 
B)  increase by 57. 
C)  decrease by 13. 
D)  increase by 13. 
A)  decrease by 57. 
B)  increase by 57. 
C)  decrease by 13. 
D)  increase by 13.

Question 3

If the correlation coefficient is 0.790, what is the explained variation?

Accepted Answer

A)  37.6% 
B)  62.4% 
C)  79% 
D)  21% 
A)  37.6% 
B)  62.4% 
C)  79% 
D)  21%

Question 4

The standard error of the estimate is the standard deviation of the observed x-values about the predicted   values.

Accepted Answer

A) True 
 B)False

Question 5

A psychologist wants to determine if there is a linear relationship between the number of hours a person goes without sleep and the number of mistakes he/she makes on a simple test. The following data is recorded.
a. Draw a scatter plot.
b. Determine the regression line equation and plot the regression line
on the scatter plot.

Accepted Answer

The answer of A psychologist wants to determine if there...

Question 6

A positive relationship exists when both variables increase or decrease at the same time.

Accepted Answer

A) True 
 B)False

Question 7

Find the equation of the regression line.

Accepted Answer

The answer of Find the equation of the regression line....

Question 8

A multiple regression line was calculated in which x1 was a student's grade point average and x2 was a student's age. The multiple regression line was calculated as   . If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of   ?

Accepted Answer

A)  387.2 
B)  400.1 
C)  421.6 
D)  615.5 
A)  387.2 
B)  400.1 
C)  421.6 
D)  615.5

Question 9

Test the significance of the correlation coefficient r at   = 0.05 for the data below.

Accepted Answer

A)  Accept   because 8.03  3.18 
C)  Accept   because 8.35  2.78 
A)  Accept   because 8.03  3.18 
C)  Accept   because 8.35  2.78

Question 10

An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer. Draw the scatter plot for the variables.

Accepted Answer

The answer of An experiment is carried out to determine...

Question 11

The range of the correlation coefficient is from 0 to 1.

Accepted Answer

A) True 
 B)False

Question 12

If the correlation coefficient r is equal to 0.755, find the coefficient of determination and the coefficient of nondetermination.

Accepted Answer

A)  The coefficient of determination is 0.430 and the coefficient of nondetermination is 0.570 
B)  The coefficient of determination is 0.869 and the coefficient of nondetermination is 0.131 
C)  The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430 
D)  The coefficient of determination is 0.131 and the coefficient of nondetermination is 0.869 
A)  The coefficient of determination is 0.430 and the coefficient of nondetermination is 0.570 
B)  The coefficient of determination is 0.869 and the coefficient of nondetermination is 0.131 
C)  The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430 
D)  The coefficient of determination is 0.131 and the coefficient of nondetermination is 0.869

Question 13

The prediction interval around y' for a specific x is

Accepted Answer

A)  a confidence interval for the true mean value of the y values that correspond to that x. 
B)  the value of y used to calculate the slope of the regression line. 
C)  the interval of values of x used to predict y'. 
D)  the difference between the value of y and the value of x. 
A)  a confidence interval for the true mean value of the y values that correspond to that x. 
B)  the value of y used to calculate the slope of the regression line. 
C)  the interval of values of x used to predict y'. 
D)  the difference between the value of y and the value of x.

Question 14

Compute the standard error of the estimate for the data below.

Accepted Answer

A)  1.54 
B)  2.38 
C)  3.46 
D)  4.17 
A)  1.54 
B)  2.38 
C)  3.46 
D)  4.17

Question 15

A correlation coefficient r was calculated to be 0.830. The coefficient of nondetermination would be 0.170.

Accepted Answer

A) True 
 B)False

Question 16

If the equation for the regression line is y' = 7x - 9, then a value of x = 2 will result in a predicted value for y of

Accepted Answer

A)  16 
B)  25 
C)  23 
D)  5 
A)  16 
B)  25 
C)  23 
D)  5

Question 17

The symbol used for the multiple correlation coefficient is R .

Accepted Answer

A) True 
 B)False

Question 18

An analysis results in a multiple regression equation of y' = 73 + 24x1+ 7x2. We can conclude that

Accepted Answer

A)  The variable x1 is a very significant factor in this model. 
B)  The variable x1 is a moderately significant factor in this model. 
C)  The variable x1 is not a significant factor in this model. 
D)  This is insufficient information to assess the significance of x1. 
A)  The variable x1 is a very significant factor in this model. 
B)  The variable x1 is a moderately significant factor in this model. 
C)  The variable x1 is not a significant factor in this model. 
D)  This is insufficient information to assess the significance of x1.

Question 19

If the correlation coefficient r is equal to 0.552, find the coefficient of nondetermination.

Accepted Answer

A)  0.695 
B)  0.740 
C)  0.429 
D)  0.305 
A)  0.695 
B)  0.740 
C)  0.429 
D)  0.305

Question 20

The two variables in a scatter plot are called the

Accepted Answer

A)  independent variable and dependent variable. 
B)  relative frequency and relative proportion. 
C)  spread and pattern. 
D)  lines and points. 
A)  independent variable and dependent variable. 
B)  relative frequency and relative proportion. 
C)  spread and pattern. 
D)  lines and points.

A regression line was calculated as . The slope of this line is -3.2.

In a multiple regression model y' = -11 + 4x₁ + 11x₂ + 7x₃ + 3x₄, if the value of x₂ increases by 2 and the value of x₃ decreases by 5, then the predicted value for y will

If the correlation coefficient is 0.790, what is the explained variation?

The standard error of the estimate is the standard deviation of the observed x-values about the predicted values.

A positive relationship exists when both variables increase or decrease at the same time.

Find the equation of the regression line.

A multiple regression line was calculated in which x₁ was a student's grade point average and x₂ was a student's age. The multiple regression line was calculated as . If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of ?

Test the significance of the correlation coefficient r at = 0.05 for the data below.

An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer. Draw the scatter plot for the variables.

The range of the correlation coefficient is from 0 to 1.

If the correlation coefficient r is equal to 0.755, find the coefficient of determination and the coefficient of nondetermination.

The prediction interval around y' for a specific x is

Compute the standard error of the estimate for the data below.

A correlation coefficient r was calculated to be 0.830. The coefficient of nondetermination would be 0.170.

If the equation for the regression line is y' = 7x - 9, then a value of x = 2 will result in a predicted value for y of

The symbol used for the multiple correlation coefficient is R .

An analysis results in a multiple regression equation of y' = 73 + 24x₁+ 7x₂. We can conclude that

If the correlation coefficient r is equal to 0.552, find the coefficient of nondetermination.

The two variables in a scatter plot are called the

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

Exam 10: Correlation and Regression

A regression line was calculated as . The slope of this line is -3.2.

In a multiple regression model y' = -11 + 4x1 + 11x2 + 7x3 + 3x4, if the value of x2 increases by 2 and the value of x3 decreases by 5, then the predicted value for y will

If the correlation coefficient is 0.790, what is the explained variation?

The standard error of the estimate is the standard deviation of the observed x-values about the predicted values.

A positive relationship exists when both variables increase or decrease at the same time.

Find the equation of the regression line.

A multiple regression line was calculated in which x1 was a student's grade point average and x2 was a student's age. The multiple regression line was calculated as . If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of ?

Test the significance of the correlation coefficient r at = 0.05 for the data below.

An experiment is carried out to determine the relationship between the average speed (rpm) and power (hp) of a mixer. Draw the scatter plot for the variables.

The range of the correlation coefficient is from 0 to 1.

If the correlation coefficient r is equal to 0.755, find the coefficient of determination and the coefficient of nondetermination.

The prediction interval around y' for a specific x is

Compute the standard error of the estimate for the data below.

A correlation coefficient r was calculated to be 0.830. The coefficient of nondetermination would be 0.170.

If the equation for the regression line is y' = 7x - 9, then a value of x = 2 will result in a predicted value for y of

The symbol used for the multiple correlation coefficient is R .

An analysis results in a multiple regression equation of y' = 73 + 24x1+ 7x2. We can conclude that

If the correlation coefficient r is equal to 0.552, find the coefficient of nondetermination.

The two variables in a scatter plot are called the

The Nature of Probability and Statistics

Frequency Distributions and Graphs

Data Description

Probability and Counting Rules

Discrete Probability Distributions

The Normal Distribution

Confidence Intervals and Sample Size

Hypothesis Testing

Testing the Difference Between Two Means, Two Variances, and Two Proportions

Other Chi-Square Tests

Analysis of Variance

Nonparametric Statistics

Sampling and Simulation

Filters

In a multiple regression model y' = -11 + 4x₁ + 11x₂ + 7x₃ + 3x₄, if the value of x₂ increases by 2 and the value of x₃ decreases by 5, then the predicted value for y will

A multiple regression line was calculated in which x₁ was a student's grade point average and x₂ was a student's age. The multiple regression line was calculated as . If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of ?

An analysis results in a multiple regression equation of y' = 73 + 24x₁+ 7x₂. We can conclude that