Question 1

The variation due to chance, found by the formula __________, is called the unexplained variation.

Accepted Answer

The answer of The variation due to chance, found by...

Question 2

If the correlation coefficient r is equal to 0.465, find the coefficient of determination.

Accepted Answer

A)  0.784 
B)  0.682 
C)  0.341 
D)  0.216 
A)  0.784 
B)  0.682 
C)  0.341 
D)  0.216 D

Question 3

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities.

Accepted Answer

The answer of Draw a scatter plot for the following...

Question 4

If the equation for the regression line is y' = -4x + 3, then the slope of this line is

Accepted Answer

A)  6 
B)  3 
C)  -1 
D)  -4 
A)  6 
B)  3 
C)  -1 
D)  -4

Question 5

If the equation for the regression line is y' = 8x + 4, then a value of x = -3 will result in a predicted value for y of

Accepted Answer

A)  4 
B)  -4 
C)  -20 
D)  8 
A)  4 
B)  -4 
C)  -20 
D)  8

Question 6

The standard error of estimate can be used for constructing a(n) __________ interval about a   value.

Accepted Answer

The answer of The standard error of estimate can be...

Question 7

A researcher has reason to believe that, for an experiment with 40 points, a 95% prediction interval would be of width 8. If the researcher wishes to run a more precise experiment that will result in a 95% prediction interval of width 4, then the researcher will require how many points?

Accepted Answer

more than

Question 8

Ten pairs of points yielded a correlation coefficient   of 0.790. If   , which of the following statements is correct if   ? (Do not calculate a t-value.)

Accepted Answer

A)  Because 0.790 is greater than 0.632, the null hypothesis is not rejected. 
B)  Because 0.790 is greater than 0.632, the null hypothesis is rejected. 
C)  Because 0.790 is greater than 0.602, the null hypothesis is not rejected. 
D)  There is no correlation between the variables. 
A)  Because 0.790 is greater than 0.632, the null hypothesis is not rejected. 
B)  Because 0.790 is greater than 0.632, the null hypothesis is rejected. 
C)  Because 0.790 is greater than 0.602, the null hypothesis is not rejected. 
D)  There is no correlation between the variables.

Question 9

With enough variables, it is possible to get an R2 value close to 1, even if the variables have no particular meaning in the model.

Accepted Answer

A) True 
 B)False

Question 10

If the equation for the regression line is y' = -8x + 3, then the intercept of this line is

Accepted Answer

A)  6 
B)  3 
C)  -5 
D)  -8 
A)  6 
B)  3 
C)  -5 
D)  -8

Question 11

What is the value of   when x = 3, if the equation of the regression line is   ?

Accepted Answer

A)  4.73 
B)  5.29 
C)  34.5 
D)  11.7 
A)  4.73 
B)  5.29 
C)  34.5 
D)  11.7

Question 12

If there are three independent variables x1, x2, and x3 available, then the value of R2 for a multiple regression of y using x1, x2, and x3 will always be smaller than the value of r2 for a multiple regression of y using just x1.

Accepted Answer

A) True 
 B)False

Question 13

The following data list ages of cars (in years) and monthly repair cost in dollars. What is the standard error of the estimate?

Accepted Answer

A)  6.36 
B)  7.34 
C)  8.75 
D)  5.49 
A)  6.36 
B)  7.34 
C)  8.75 
D)  5.49

Question 14

Two researchers run identical experiments except researcher A collects twice as many points as researcher B. For a specific value x, researcher A estimates a y value of   and researcher B estimates a y value of   . We would expect that researcher A's 95% prediction interval around   to be, in general,

Accepted Answer

A)  wider than researcher B's 95% prediction interval around   . 
B)  narrower than researcher B's 95% prediction interval around   . 
C)  the same as researcher B's 95% prediction interval around   . 
D)  wider than researcher B's 95% prediction interval around   or narrower than researcher B's 95% prediction interval around   , with equal probability. 
A)  wider than researcher B's 95% prediction interval around   . 
B)  narrower than researcher B's 95% prediction interval around   . 
C)  the same as researcher B's 95% prediction interval around   . 
D)  wider than researcher B's 95% prediction interval around   or narrower than researcher B's 95% prediction interval around   , with equal probability.

Question 15

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

Accepted Answer

A)  direct cause-and-effect 
B)  uncorrelated 
C)  caused by a third variable 
D)  negative effect 
A)  direct cause-and-effect 
B)  uncorrelated 
C)  caused by a third variable 
D)  negative effect

Question 16

__________ is a statistical method used to determine whether a relationship between variables exists.

Accepted Answer

The answer of __________ is a statistical method used to...

Question 17

A regression line can be used to show trends in data.

Accepted Answer

A) True 
 B)False

Question 18

Compute the value of the correlation coefficient.

Accepted Answer

A)  0.933 
B)  0.953 
C)  0.907 
D)  0.798 
A)  0.933 
B)  0.953 
C)  0.907 
D)  0.798

Question 19

The formula for the coefficient of nondetermination is 1.00 - r2 .

Accepted Answer

A) True 
 B)False

Question 20

The total blood cholesterol concentrations, in mg/dL, are shown below for a random sample of six people. In the table below, x is the age of the subject and y is the subject's total cholesterol concentration. Find the 95% prediction interval when x = 59 years.

Accepted Answer

Regression line: @#IMG-DLM& Standard err

The variation due to chance, found by the formula __________, is called the unexplained variation.

If the correlation coefficient r is equal to 0.465, find the coefficient of determination.

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities.

If the equation for the regression line is y' = -4x + 3, then the slope of this line is

If the equation for the regression line is y' = 8x + 4, then a value of x = -3 will result in a predicted value for y of

The standard error of estimate can be used for constructing a(n) __________ interval about a value.

A researcher has reason to believe that, for an experiment with 40 points, a 95% prediction interval would be of width 8. If the researcher wishes to run a more precise experiment that will result in a 95% prediction interval of width 4, then the researcher will require how many points?

Ten pairs of points yielded a correlation coefficient of 0.790. If , which of the following statements is correct if ? (Do not calculate a t-value.)

With enough variables, it is possible to get an R² value close to 1, even if the variables have no particular meaning in the model.

If the equation for the regression line is y' = -8x + 3, then the intercept of this line is

What is the value of when x = 3, if the equation of the regression line is ?

If there are three independent variables x₁, x₂, and x₃ available, then the value of R² for a multiple regression of y using x₁, x₂, and x₃will always be smaller than the value of r² for a multiple regression of y using just x₁.

The following data list ages of cars (in years) and monthly repair cost in dollars. What is the standard error of the estimate?

Two researchers run identical experiments except researcher A collects twice as many points as researcher B. For a specific value x, researcher A estimates a y value of and researcher B estimates a y value of . We would expect that researcher A's 95% prediction interval around to be, in general,

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

__________ is a statistical method used to determine whether a relationship between variables exists.

A regression line can be used to show trends in data.

Compute the value of the correlation coefficient.

The formula for the coefficient of nondetermination is 1.00 - r² .

The total blood cholesterol concentrations, in mg/dL, are shown below for a random sample of six people. In the table below, x is the age of the subject and y is the subject's total cholesterol concentration. Find the 95% prediction interval when x = 59 years.

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

The variation due to chance, found by the formula __________, is called the unexplained variation.

If the correlation coefficient r is equal to 0.465, find the coefficient of determination.

Draw a scatter plot for the following data that show the demand for a product (in hundreds) and its price (in dollars) charged in nine different cities.

If the equation for the regression line is y' = -4x + 3, then the slope of this line is

If the equation for the regression line is y' = 8x + 4, then a value of x = -3 will result in a predicted value for y of

The standard error of estimate can be used for constructing a(n) __________ interval about a value.

A researcher has reason to believe that, for an experiment with 40 points, a 95% prediction interval would be of width 8. If the researcher wishes to run a more precise experiment that will result in a 95% prediction interval of width 4, then the researcher will require how many points?

Ten pairs of points yielded a correlation coefficient of 0.790. If , which of the following statements is correct if ? (Do not calculate a t-value.)

With enough variables, it is possible to get an R2 value close to 1, even if the variables have no particular meaning in the model.

If the equation for the regression line is y' = -8x + 3, then the intercept of this line is

What is the value of when x = 3, if the equation of the regression line is ?

If there are three independent variables x1, x2, and x3 available, then the value of R2 for a multiple regression of y using x1, x2, and x3 will always be smaller than the value of r2 for a multiple regression of y using just x1.

The following data list ages of cars (in years) and monthly repair cost in dollars. What is the standard error of the estimate?

Two researchers run identical experiments except researcher A collects twice as many points as researcher B. For a specific value x, researcher A estimates a y value of and researcher B estimates a y value of . We would expect that researcher A's 95% prediction interval around to be, in general,

Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected?

__________ is a statistical method used to determine whether a relationship between variables exists.

A regression line can be used to show trends in data.

Compute the value of the correlation coefficient.

The formula for the coefficient of nondetermination is 1.00 - r2 .

The total blood cholesterol concentrations, in mg/dL, are shown below for a random sample of six people. In the table below, x is the age of the subject and y is the subject's total cholesterol concentration. Find the 95% prediction interval when x = 59 years.

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

With enough variables, it is possible to get an R² value close to 1, even if the variables have no particular meaning in the model.

If there are three independent variables x₁, x₂, and x₃ available, then the value of R² for a multiple regression of y using x₁, x₂, and x₃will always be smaller than the value of r² for a multiple regression of y using just x₁.

The formula for the coefficient of nondetermination is 1.00 - r² .