Question 1

The coefficient of correlation

Accepted Answer

A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative 
A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative

Question 2

Exhibit 14-5
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
  
-Refer to Exhibit 14-5.The MSE is

Accepted Answer

A) 0 
B) -1 
C) 1 
D) 0.5 
A) 0 
B) -1 
C) 1 
D) 0.5

Question 3

Exhibit 14-4
Regression analysis was applied between sales data (Y in $1,000s)and advertising data (x in $100s)and the following information was obtained.
  
= 12 + 1.8 x
n = 17
SSR = 225
SSE = 75
SS1U1B1b1S1U1B0 = 0.2683
-Refer to Exhibit 14-4.Based on the above estimated regression equation,if advertising is $3,000,then the point estimate for sales (in dollars)is

Accepted Answer

A) $66,000 
B) $5,412 
C) $66 
D) $17,400 
A) $66,000 
B) $5,412 
C) $66 
D) $17,400

Question 4

If there is a very strong correlation between two variables then the coefficient of determination must be

Accepted Answer

A) much larger than 1,if the correlation is positive 
B) much smaller than -1,if the correlation is negative 
C) any value larger than 1 
D) None of these alternatives is correct. 
A) much larger than 1,if the correlation is positive 
B) much smaller than -1,if the correlation is negative 
C) any value larger than 1 
D) None of these alternatives is correct.

Question 5

Correlation analysis is used to determine

Accepted Answer

A) the equation of the regression line 
B) the strength of the 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) None of these alternatives is correct. 
A) the equation of the regression line 
B) the strength of the 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) None of these alternatives is correct.

Question 6

Exhibit 14-2
You are given the following information about y and x.
  
-Refer to Exhibit 14-2.The point estimate of y when x = 10 is

Accepted Answer

A) -10 
B) 10 
C) -4 
D) 4 
A) -10 
B) 10 
C) -4 
D) 4

Question 7

In a simple regression analysis (where Y is a dependent and X an independent variable),if the Y intercept is positive,then

Accepted Answer

A) there is a positive correlation between X and Y 
B) if X is increased,Y must also increase 
C) if Y is increased,X must also increase 
D) None of these alternatives is correct. 
A) there is a positive correlation between X and Y 
B) if X is increased,Y must also increase 
C) if Y is increased,X must also increase 
D) None of these alternatives is correct.

Question 8

Exhibit 14-2
You are given the following information about y and x.
  
-Refer to Exhibit 14-2.The coefficient of determination equals

Accepted Answer

A) 0 
B) -1 
C) +1 
D) -0.5 
A) 0 
B) -1 
C) +1 
D) -0.5

Question 9

If the coefficient of determination is 0.81,the coefficient of correlation

Accepted Answer

A) is 0.6561 
B) could be either + 0.9 or - 0.9 
C) must be positive 
D) must be negative 
A) is 0.6561 
B) could be either + 0.9 or - 0.9 
C) must be positive 
D) must be negative

Question 10

Exhibit 14-2
You are given the following information about y and x.
  
-Refer to Exhibit 14-2.The least squares estimate of b0 (intercept)equals

Accepted Answer

A) 1 
B) -1 
C) 6 
D) 5 
A) 1 
B) -1 
C) 6 
D) 5

Question 11

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

Accepted Answer

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

Question 12

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 least squares estimate of b0 equals

Accepted Answer

A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923 
A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923

Question 13

In regression analysis,the unbiased estimate of the variance is

Accepted Answer

A) coefficient of correlation 
B) coefficient of determination 
C) mean square error 
D) slope of the regression equation 
A) coefficient of correlation 
B) coefficient of determination 
C) mean square error 
D) slope of the regression equation

Question 14

If the coefficient of correlation is a positive value,then

Accepted Answer

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

Question 15

Part of an Excel output relating X (independent variable)and Y (dependent variable)is shown below.Fill in all the blanks marked with "?".

Accepted Answer

The answer of Part of an Excel output relating X...

Question 16

Assume you have noted the following prices for books and the number of pages that each book contains.
   
a.Perform an F test and determine if the price and the number of pages of the books are related.Let $\alpha$ = 0.01.
b.Perform a t test and determine if the price and the number of pages of the books are related.Let $\alpha$ = 0.01.
c.Develop a 90% confidence interval for estimating the average price of books that contain 800 pages.
d.Develop a 90% confidence interval to estimate the price of a specific book that has 800 pages.

Accepted Answer

a.F = 6.439 < 16.26;p-value is between 0

Question 17

The coefficient of correlation

Accepted Answer

A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative 
A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative

Question 18

Below you are given information on a woman's age and her annual expenditure on purchase of books.
   
a.Develop the least squares regression equation.
b.Compute the coefficient of determination.
c.Use a t test to determine whether the slope is significantly different from zero.Let $\alpha$ = 0.05.
d.At 95% confidence,perform an F test and determine whether or not the model is significant.

Accepted Answer

a. = 54.834 + 7.536X b.R² = 0

Question 19

Given below are four 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

@#IMG-DLM& 
 @#IMG-DLM& 
 @#IMG-DLM& 
a.
= 2.864 + 0.636x
b.

Question 20

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 coefficient of determination equals

Accepted Answer

A) 0.6472 
B) -0.6472 
C) 0 
D) 1 
A) 0.6472 
B) -0.6472 
C) 0 
D) 1

The coefficient of correlation

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The MSE is

If there is a very strong correlation between two variables then the coefficient of determination must be

Correlation analysis is used to determine

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The point estimate of y when x = 10 is

In a simple regression analysis (where Y is a dependent and X an independent variable),if the Y intercept is positive,then

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The coefficient of determination equals

If the coefficient of determination is 0.81,the coefficient of correlation

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b₀ (intercept)equals

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

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 least squares estimate of b₀ equals

In regression analysis,the unbiased estimate of the variance is

If the coefficient of correlation is a positive value,then

Part of an Excel output relating X (independent variable)and Y (dependent variable)is shown below.Fill in all the blanks marked with "?".

The coefficient of correlation

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 coefficient of determination equals

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

The coefficient of correlation

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The MSE is

If there is a very strong correlation between two variables then the coefficient of determination must be

Correlation analysis is used to determine

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The point estimate of y when x = 10 is

In a simple regression analysis (where Y is a dependent and X an independent variable),if the Y intercept is positive,then

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The coefficient of determination equals

If the coefficient of determination is 0.81,the coefficient of correlation

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b0 (intercept)equals

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

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 least squares estimate of b0 equals

In regression analysis,the unbiased estimate of the variance is

If the coefficient of correlation is a positive value,then

Part of an Excel output relating X (independent variable)and Y (dependent variable)is shown below.Fill in all the blanks marked with "?".

The coefficient of correlation

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 coefficient of determination equals

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

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2.The least squares estimate of b₀ (intercept)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 least squares estimate of b₀ equals