Question 1

Exhibit 14-6
For the following data the value of SSE = 0.4130.
  
-Refer to Exhibit 14-6.The coefficient of determination (r2)equals

Accepted Answer

A) 0.7071 
B) -0.7071 
C) 0.5 
D) -0.5 
A) 0.7071 
B) -0.7071 
C) 0.5 
D) -0.5

Question 2

Exhibit 14-7
You are given the following information about y and x.
  
-Refer to Exhibit 14-7.The coefficient of determination 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 3

In a regression analysis if SST = 500 and SSE = 300,then the coefficient of determination is

Accepted Answer

A) 0.20 
B) 1.67 
C) 0.60 
D) 0.40 
A) 0.20 
B) 1.67 
C) 0.60 
D) 0.40

Question 4

Assume you have noted the following prices for books and the number of pages that each book contains.
   
a.Develop a least-squares estimated regression line.
b.Compute the coefficient of determination and explain its meaning.
c.Compute the correlation coefficient between the price and the number of pages.Test to see if x and y are related.Use $\alpha$ = 0.10.

Accepted Answer

a.= 1.0416 + 0.0099x b.r ² =

Question 5

If a data set has SSR = 400 and SSE = 100,then the coefficient of determination is

Accepted Answer

A) 0.10 
B) 0.25 
C) 0.40 
D) 0.80 
A) 0.10 
B) 0.25 
C) 0.40 
D) 0.80

Question 6

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 coefficient of correlation is

Accepted Answer

A) 0.7906 
B) - 0.7906 
C) 0.625 
D) 0.375 
A) 0.7906 
B) - 0.7906 
C) 0.625 
D) 0.375

Question 7

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.The critical t value for testing the significance of the slope at 95% confidence 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 8

Below you are given information on annual income and years of college education.
   
a.Develop the least squares regression equation.
b.Estimate the yearly income of an individual with 6 years of college education.
c.Compute the coefficient of determination.
d.Use a t test to determine whether the slope is significantly different from zero.Let $\alpha$ = 0.05.
e.At 95% confidence,perform an F test and determine whether or not the model is significant.

Accepted Answer

a.
= 25.6 + 5.2X
b.$56,800
c.0.939
d.t =

Question 9

In regression analysis,the independent variable is

Accepted Answer

A) used to predict other independent variables 
B) used to predict the dependent variable 
C) called the intervening variable 
D) the variable that is being predicted 
A) used to predict other independent variables 
B) used to predict the dependent variable 
C) called the intervening variable 
D) the variable that is being predicted

Question 10

Regression analysis was applied between sales (in $1000)and advertising (in $100)and the following regression function was obtained.

= 500 + 4 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) $900 
B) $900,000 
C) $40,500 
D) $505,000 
A) $900 
B) $900,000 
C) $40,500 
D) $505,000

Question 11

If the coefficient of determination is equal to 1,then the coefficient of correlation

Accepted Answer

A) must also be equal to 1 
B) can be either -1 or +1 
C) can be any value between -1 to +1 
D) must be -1 
A) must also be equal to 1 
B) can be either -1 or +1 
C) can be any value between -1 to +1 
D) must be -1

Question 12

In a regression analysis if SSE = 200 and SSR = 300,then the coefficient of determination is

Accepted Answer

A) 0.6667 
B) 0.6000 
C) 0.4000 
D) 1.5000 
A) 0.6667 
B) 0.6000 
C) 0.4000 
D) 1.5000

Question 13

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 14

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 15

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

Accepted Answer

A) -1 
B) 1.0 
C) 11 
D) 0.0 
A) -1 
B) 1.0 
C) 11 
D) 0.0

Question 16

Regression analysis was applied between demand for a product (Y)and the price of the product (X),and the following estimated regression equation was obtained.
 
= 120 - 10 X
Based on the above estimated regression equation,if price is increased by 2 units,then demand is expected to

Accepted Answer

A) increase by 120 units 
B) increase by 100 units 
C) increase by 20 units 
D) decease by 20 units 
A) increase by 120 units 
B) increase by 100 units 
C) increase by 20 units 
D) decease by 20 units

Question 17

Exhibit 14-8
The following information regarding a dependent variable Y and an independent variable X is provided
  
-Refer to Exhibit 14-8.The mean square error (MSE)is

Accepted Answer

A) 1870 
B) 13 
C) 1974 
D) 935 
A) 1870 
B) 13 
C) 1974 
D) 935

Question 18

Below you are given a partial computer output based on a sample of 8 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.

Accepted Answer

a.
= -9.462 + 0.769x
b.t = 4.1

Question 19

In regression and correlation analysis,if SSE and SST are known,then with this information the

Accepted Answer

A) coefficient of determination can be computed 
B) slope of the line can be computed 
C) Y intercept can be computed 
D) x intercept can be computed 
A) coefficient of determination can be computed 
B) slope of the line can be computed 
C) Y intercept can be computed 
D) x intercept can be computed

Question 20

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.To perform an F test,the p-value is

Accepted Answer

A) less than .01 
B) between .01 and .025 
C) between .025 and .05 
D) between .05 and 0.1 
A) less than .01 
B) between .01 and .025 
C) between .025 and .05 
D) between .05 and 0.1

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The coefficient of determination (r²)equals

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

In a regression analysis if SST = 500 and SSE = 300,then the coefficient of determination is

If a data set has SSR = 400 and SSE = 100,then the coefficient of determination is

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 coefficient of correlation is

In regression analysis,the independent variable is

Regression analysis was applied between sales (in $1000)and advertising (in $100)and the following regression function was obtained. = 500 + 4 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 determination is equal to 1,then the coefficient of correlation

In a regression analysis if SSE = 200 and SSR = 300,then the coefficient of determination is

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

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

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

Regression analysis was applied between demand for a product (Y)and the price of the product (X),and the following estimated regression equation was obtained. = 120 - 10 X Based on the above estimated regression equation,if price is increased by 2 units,then demand is expected to

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The mean square error (MSE)is

In regression and correlation analysis,if SSE and SST are known,then with this information the

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 S_b1 = 0.2683 -Refer to Exhibit 14-4.To perform an F test,the p-value is

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

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The coefficient of determination (r2)equals

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

In a regression analysis if SST = 500 and SSE = 300,then the coefficient of determination is

If a data set has SSR = 400 and SSE = 100,then the coefficient of determination is

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 coefficient of correlation is

In regression analysis,the independent variable is

Regression analysis was applied between sales (in $1000)and advertising (in $100)and the following regression function was obtained. = 500 + 4 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 determination is equal to 1,then the coefficient of correlation

In a regression analysis if SSE = 200 and SSR = 300,then the coefficient of determination is

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

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

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

Regression analysis was applied between demand for a product (Y)and the price of the product (X),and the following estimated regression equation was obtained. = 120 - 10 X Based on the above estimated regression equation,if price is increased by 2 units,then demand is expected to

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The mean square error (MSE)is

In regression and correlation analysis,if SSE and SST are known,then with this information the

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 Sb1 = 0.2683 -Refer to Exhibit 14-4.To perform an F test,the p-value is

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 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The coefficient of determination (r²)equals

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

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 S_b1 = 0.2683 -Refer to Exhibit 14-4.To perform an F test,the p-value is