Question 1

When interpreting a correlation coefficient of -.95, 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 2

The interval estimate of an individual value of y for a given value of x is the

Accepted Answer

A)  prediction interval estimate. 
B)  confidence interval estimate. 
C)  average regression interval. 
D)  x versus y correlation interval. 
A)  prediction interval estimate. 
B)  confidence interval estimate. 
C)  average regression interval. 
D)  x versus y correlation interval.

Question 3

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).   ​ The least squares estimate of the slope or b1 equals

Accepted Answer

A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923. 
A)  .923. 
B)  1.991. 
C)  -1.991. 
D)  -.923.

Question 4

SSE can never be

Accepted Answer

A)  larger than SST. 
B)  smaller than SST. 
C)  equal to one. 
D)  equal to zero. 
A)  larger than SST. 
B)  smaller than SST. 
C)  equal to one. 
D)  equal to zero.

Question 5

In regression analysis, the model in the form y =   +   x + ε is called 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 6

Compared to the confidence interval estimate for a particular value of y in a linear regression model, the interval estimate for an average value of y will be

Accepted Answer

A)  narrower. 
B)  wider. 
C)  the same. 
D)  easy to determine. 
A)  narrower. 
B)  wider. 
C)  the same. 
D)  easy to determine.

Question 7

Given the following information, what is the least squares estimate of the slope?

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

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The slope of the regression equation is

Accepted Answer

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

Question 9

The following information regarding a dependent variable y and an independent variable x is provided:   ​ The total sum of squares (SST) is

Accepted Answer

A)  -156. 
B)  234. 
C)  1870. 
D)  1974. 
A)  -156. 
B)  234. 
C)  1870. 
D)  1974.

Question 10

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 11

You are given the following information about y and x.   ​ The point estimate of y when x = 2 is

Accepted Answer

A)  -10. 
B)  10. 
C)  -8. 
D)  8. 
A)  -10. 
B)  10. 
C)  -8. 
D)  8.

Question 12

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 13

The value of the coefficient of correlation (r)

Accepted Answer

A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2). 
A)  can be equal to the value of the coefficient of determination (r2). 
B)  can never be equal to the value of the coefficient of determination (r2). 
C)  is always smaller than the value of the coefficient of determination (r2). 
D)  is always larger than the value of the coefficient of determination (r2).

Question 14

In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see​ a

Accepted Answer

A)  ​horizontal band of points centered near zero. 
B)  widening band of points around the x-axis. 
C)  band of points having a slope consistent with that of the regression equation. 
D)  parabolic band of points centered at the origin. 
A)  ​horizontal band of points centered near zero. 
B)  widening band of points around the x-axis. 
C)  band of points having a slope consistent with that of the regression equation. 
D)  parabolic band of points centered at the origin.

Question 15

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 slope is

Accepted Answer

A)  1. 
B)  3.4. 
C)  3. 
D)  .7. 
A)  1. 
B)  3.4. 
C)  3. 
D)  .7.

Question 16

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

Question 17

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
The critical t value for testing the significance of the slope, at a .05 level of significance, is

Accepted Answer

A)  1.753. 
B)  2.131. 
C)  1.746. 
D)  2.120. 
A)  1.753. 
B)  2.131. 
C)  1.746. 
D)  2.120.

Question 18

In regression analysis, the model in the form y =   ,   is the

Accepted Answer

A)  slope. 
B)  y-intercept. 
C)  estimated regression equation. 
D)  independent variable. 
A)  slope. 
B)  y-intercept. 
C)  estimated regression equation. 
D)  independent variable.

Question 19

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

Accepted Answer

A)  SSE must also be equal to one. 
B)  SSE must be equal to zero. 
C)  SSE can be any positive value. 
D)  SSE must be negative. 
A)  SSE must also be equal to one. 
B)  SSE must be equal to zero. 
C)  SSE can be any positive value. 
D)  SSE must be negative.

Question 20

You are given the following information about y and x.   ​ The coefficient of determination equals

Accepted Answer

A)  0. 
B)  -1. 
C)  +1. 
D)  -.5. 
A)  0. 
B)  -1. 
C)  +1. 
D)  -.5.

When interpreting a correlation coefficient of -.95, you would say that there is a _____ linear relationship between x and y.

The interval estimate of an individual value of y for a given value of x is the

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). The least squares estimate of the slope or b₁ equals

SSE can never be

In regression analysis, the model in the form y = + x + ε is called the

Compared to the confidence interval estimate for a particular value of y in a linear regression model, the interval estimate for an average value of y will be

Given the following information, what is the least squares estimate of the slope?

The following information regarding a dependent variable y and an independent variable x is provided: The slope of the regression equation is

The following information regarding a dependent variable y and an independent variable x is provided: The total sum of squares (SST) is

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

You are given the following information about y and x. The point estimate of y when x = 2 is

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

The value of the coefficient of correlation (r)

In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see a

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 slope is

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

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 The critical t value for testing the significance of the slope, at a .05 level of significance, is

In regression analysis, the model in the form y = , is the

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

You are given the following information about y and x. The coefficient of determination equals

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Introduction to Probability

Discrete Probability Distributions

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Exam 14: Simple Linear Regression

When interpreting a correlation coefficient of -.95, you would say that there is a _____ linear relationship between x and y.

The interval estimate of an individual value of y for a given value of x is the

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). ​ The least squares estimate of the slope or b1 equals

SSE can never be

In regression analysis, the model in the form y = + x + ε is called the

Compared to the confidence interval estimate for a particular value of y in a linear regression model, the interval estimate for an average value of y will be

Given the following information, what is the least squares estimate of the slope?

The following information regarding a dependent variable y and an independent variable x is provided: ​ The slope of the regression equation is

The following information regarding a dependent variable y and an independent variable x is provided: ​ The total sum of squares (SST) is

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

You are given the following information about y and x. ​ The point estimate of y when x = 2 is

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

The value of the coefficient of correlation (r)

In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see​ a

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 slope is

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

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 The critical t value for testing the significance of the slope, at a .05 level of significance, is

In regression analysis, the model in the form y = , is the

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

You are given the following information about y and 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

A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (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 slope of the regression equation is

The following information regarding a dependent variable y and an independent variable x is provided: The total sum of squares (SST) is

You are given the following information about y and x. The point estimate of y when x = 2 is

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

In a residual plot against x that does not suggest we should challenge the assumptions of our regression model, we would expect to see a

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 slope is

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 The critical t value for testing the significance of the slope, at a .05 level of significance, is

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

You are given the following information about y and x. The coefficient of determination equals