Question 1

If the coefficient of determination is 0.9,the percentage of variation in the dependent variable explained by the variation in the independent variable

Accepted Answer

A) is 0.90% 
B) is 90%. 
C) is 81% 
D) 0.81% 
A) is 0.90% 
B) is 90%. 
C) is 81% 
D) 0.81% B

Question 2

Exhibit 14-1
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
   SSE = 6
SST = 16
-Refer to Exhibit 14-1.The least squares estimate of the Y intercept is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4 B

Question 3

Exhibit 14-8
The following information regarding a dependent variable Y and an independent variable X is provided
  
-Refer to Exhibit 14-8.The slope of the regression equation is

Accepted Answer

A) -0.667 
B) 0.667 
C) 100 
D) -100 
A) -0.667 
B) 0.667 
C) 100 
D) -100 A

Question 4

Exhibit 14-7
You are given the following information about y and x.
  
-Refer to Exhibit 14-7.The sample correlation coefficient equals

Accepted Answer

A) 0.3162 
B) -0.3162 
C) 0.10 
D) -0.10 
A) 0.3162 
B) -0.3162 
C) 0.10 
D) -0.10

Question 5

Exhibit 14-9
A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x).
  
-Refer to Exhibit 14-9.The sample correlation coefficient equals

Accepted Answer

A) 0.8045 
B) -0.8045 
C) 0 
D) 1 
A) 0.8045 
B) -0.8045 
C) 0 
D) 1

Question 6

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The point estimate of Y when X = 3 is

Accepted Answer

A) 11 
B) 14 
C) 8 
D) 0 
A) 11 
B) 14 
C) 8 
D) 0

Question 7

Below you are given a partial computer output based on a sample of 14 observations,relating an independent variable (x)and a dependent variable (y).

a.Develop the estimated regression line.
b.At $\alpha$ = 0.05,test for the significance of the slope.
c.At $\alpha$= 0.05,perform an F test.
d.Determine the coefficient of determination.
e.Determine the coefficient of correlation.

Accepted Answer

a.
= 6.428 + 0.47x
b.t = 13.529;p-value

Question 8

Exhibit 14-6
For the following data the value of SSE = 0.4130.
  
-Refer to Exhibit 14-6.The y intercept is

Accepted Answer

A) -1.5 
B) 24 
C) 0.50 
D) -0.707 
A) -1.5 
B) 24 
C) 0.50 
D) -0.707

Question 9

Given below are seven observations collected in a regression study on two variables,X (independent variable)and Y (dependent variable).
   
a.Develop the least squares estimated regression equation.
b.At 95% confidence,perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant.Let $\alpha$ = 0.05.
d.Compute the coefficient of determination.

Accepted Answer

a.
= 13.75 -1.125X
b.t = -5.196;p-value

Question 10

Below you are given a partial computer output based on a sample of 21 observations,relating an independent variable (x)and a dependent variable (y).

a.Develop the estimated regression line.
b.At $\alpha$ = 0.05,test for the significance of the slope.
c.At $\alpha$ = 0.05,perform an F test.
d.Determine the coefficient of determination.
e.Determine the coefficient of correlation.

Accepted Answer

a.
= 30.139 - 0.252X
b.t = -11.357;p-val

Question 11

A regression and correlation analysis resulted in the following information regarding an independent variable (x)and a dependent variable (y).
   
a.Develop the least squares estimated regression equation.
b.At 95% confidence,perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant.Let$\alpha$ = 0.05.
d.Compute the coefficient of determination.

Accepted Answer

a.
= 6.3571 + 0.4405x
b.p-valu

Question 12

Regression analysis was applied between sales (Y in $1,000)and advertising (X in $100),and the following estimated regression equation was obtained.

= 80 + 6.2 X
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 13

If the coefficient of correlation is -0.4,then the slope of the regression line

Accepted Answer

A) must also be -0.4 
B) can be either negative or positive 
C) must be negative 
D) must be 0.16 
A) must also be -0.4 
B) can be either negative or positive 
C) must be negative 
D) must be 0.16

Question 14

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The MSE is

Accepted Answer

A) 17 
B) 8 
C) 34 
D) 42 
A) 17 
B) 8 
C) 34 
D) 42

Question 15

If the coefficient of correlation is 0.90,then the coefficient of determination

Accepted Answer

A) is also 0.9 
B) is either 0.81 or -0.81 
C) can be either negative or positive 
D) must be 0.81 
A) is also 0.9 
B) is either 0.81 or -0.81 
C) can be either negative or positive 
D) must be 0.81

Question 16

Shown below is a portion of a computer output for a regression analysis relating Y (demand)and X (unit price).
   
a.Perform a t test and determine whether or not demand and unit price are related.Let $\alpha$= 0.05.
b.Perform an F test and determine whether or not demand and unit price are related.Let $\alpha$ = 0.05.
c.Compute the coefficient of determination and fully interpret its meaning.Be very specific.
d.Compute the coefficient of correlation and explain the relationship between demand and unit price.

Accepted Answer

a and b @#IMG-DLM& @#IMG-DLM& @#IMG-DLM& c.R² = 0.617

Question 17

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.
  
-Refer to Exhibit 14-10.The coefficient of correlation is

Accepted Answer

A) 0.1905 
B) -0.1905 
C) 0.4364 
D) -0.4364 
A) 0.1905 
B) -0.1905 
C) 0.4364 
D) -0.4364

Question 18

SSE can never be

Accepted Answer

A) larger than SST 
B) smaller than SST 
C) equal to 1 
D) equal to zero 
A) larger than SST 
B) smaller than SST 
C) equal to 1 
D) equal to zero

Question 19

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 20

A least squares regression line

Accepted Answer

A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) None of these alternatives is correct. 
A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) None of these alternatives is correct.

If the coefficient of determination is 0.9,the percentage of variation in the dependent variable explained by the variation in the independent variable

Exhibit 14-1 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1.The least squares estimate of the Y intercept is

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The slope of the regression equation is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The sample correlation coefficient equals

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x). -Refer to Exhibit 14-9.The sample correlation coefficient equals

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The point estimate of Y when X = 3 is

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The y intercept is

Regression analysis was applied between sales (Y in $1,000)and advertising (X in $100),and the following estimated regression equation was obtained. = 80 + 6.2 X Based on the above estimated regression line,if advertising is $10,000,then the point estimate for sales (in dollars)is

If the coefficient of correlation is -0.4,then the slope of the regression line

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The MSE is

If the coefficient of correlation is 0.90,then the coefficient of determination

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The coefficient of correlation is

SSE can never be

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

A least squares regression line

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 14: Simple Linear Regression

If the coefficient of determination is 0.9,the percentage of variation in the dependent variable explained by the variation in the independent variable

Exhibit 14-1 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1.The least squares estimate of the Y intercept is

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The slope of the regression equation is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The sample correlation coefficient equals

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x). -Refer to Exhibit 14-9.The sample correlation coefficient equals

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The point estimate of Y when X = 3 is

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The y intercept is

Regression analysis was applied between sales (Y in $1,000)and advertising (X in $100),and the following estimated regression equation was obtained. = 80 + 6.2 X Based on the above estimated regression line,if advertising is $10,000,then the point estimate for sales (in dollars)is

If the coefficient of correlation is -0.4,then the slope of the regression line

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The MSE is

If the coefficient of correlation is 0.90,then the coefficient of determination

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10.The coefficient of correlation is

SSE can never be

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

A least squares regression line

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

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