Question 1

The _______ regression model allows us to study how the response variable is influenced by two or more explanatory variables.

Accepted Answer

The answer of The _______ regression model allows us to...

Question 2

A researcher analyzes the relationship between amusement park attendance and the price of admission.She estimates the following model:   ,where Attendance is the daily attendance (in 1000s)and Price is the gate price (in $).A portion of the regression results is shown in the accompanying table.   a.Predict the Attendance for an amusement park that charges $80 for admission.
b.Interpret the slope coefficient attached to Price.
c.Calculate the standard error of the estimate.If the sample mean for Attendance is 75.9,what can you infer about the model's predictive power.
d.Calculate and interpret the coefficient of determination.How much of the variability in Attendance is unexplained.

Accepted Answer

The regression equation is @#IMG-DLM& .For each ex

Question 3

The actual value y may differ from the expected value E(y).Therefore,we add a ______ ____ term ε to develop a simple linear regression model.

Accepted Answer

The answer of The actual value y may differ from...

Question 4

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.The value of adjusted R2 is the closest to ____.

Accepted Answer

A)  0.21 
B)  0.34 
C)  0.66 
D)  0.79 
A)  0.21 
B)  0.34 
C)  0.66 
D)  0.79

Question 5

When testing whether the correlation coefficient differs from zero,the value of the test statistic is t20 = 1.95 with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

Accepted Answer

A)  Yes,since the p-value exceeds 0.05. 
B)  Yes,since the test statistic value of 1.95 exceeds 0.05. 
C)  No,since the p-value exceeds 0.05. 
D)  No,since the test statistic value of 1.95 exceeds 0.05. 
A)  Yes,since the p-value exceeds 0.05. 
B)  Yes,since the test statistic value of 1.95 exceeds 0.05. 
C)  No,since the p-value exceeds 0.05. 
D)  No,since the test statistic value of 1.95 exceeds 0.05.

Question 6

The positive square root of the coefficient of determination in simple linear regression is always equal to the correlation coefficient.

Accepted Answer

A) True 
 B)False

Question 7

The following portion of regression results was obtained when estimating a multiple regression model.   a.What is the sample regression equation?
b.Interpret the slope coefficient for x1.
c.Find the predicted value for y if x1 equals 25 and x2 equals 50.
d.Fill in the missing values in the ANOVA table.
e.Calculate the standard error of the estimate.f.Calculate R2.

Accepted Answer

The regression equation is @#IMG-DLM& .For each ex

Question 8

The value 0.75 of a sample correlation coefficient indicates a stronger linear relationship than that of 0.60.

Accepted Answer

A) True 
 B)False

Question 9

A correlation coefficient r = −0.85 could indicate a _______________________________.

Accepted Answer

A)  very weak positive linear relationship 
B)  very strong negative linear relationship 
C)  very weak negative linear relationship 
D)  very strong positive linear relationship 
A)  very weak positive linear relationship 
B)  very strong negative linear relationship 
C)  very weak negative linear relationship 
D)  very strong positive linear relationship

Question 10

Consider the following data:   = 20,sx = 2,   = -5,sy = 4,and b1 = 0.40.The sample correlation coefficient,rxy is equal to ____.

Accepted Answer

A)  −0.40 
B)  −0.20 
C)  0.20 
D)  0.40 
A)  −0.40 
B)  −0.20 
C)  0.20 
D)  0.40

Question 11

An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model: Sales = β0 +β1 Advertising + ε.The following ANOVA table below shows a portion of the regression results.   Which of the following is the standard error of the estimate?

Accepted Answer

A)  4.68 
B)  8.86 
C)  21.91 
D)  78.53 
A)  4.68 
B)  8.86 
C)  21.91 
D)  78.53

Question 12

The following data for five years of the annual returns for two of Vanguard's mutual funds,the Vanguard Energy Fund (x)and the Vanguard Healthcare Fund (y),were given as sx = 35.77,sy = 13.34,sxy = 447.68.The competing hypotheses are   .At the 5% significance level which of the following is the correct conclusion to the test?

Accepted Answer

A)  Reject H0 and conclude that the returns of these two mutual funds are correlated. 
B)  Reject H0 and conclude that the returns of these two mutual funds are not correlated. 
C)  Do not reject and conclude that the returns of these two mutual funds are not correlated. 
D)  Do not reject and conclude that the returns of these two mutual funds are correlated. 
A)  Reject H0 and conclude that the returns of these two mutual funds are correlated. 
B)  Reject H0 and conclude that the returns of these two mutual funds are not correlated. 
C)  Do not reject and conclude that the returns of these two mutual funds are not correlated. 
D)  Do not reject and conclude that the returns of these two mutual funds are correlated.

Question 13

Over the past 30 years,the sample standard deviations of the rates of return for stock X and Stock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096.To determine whether the correlation coefficient is significantly different from zero,the appropriate hypotheses are: ____________.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Simple linear regression analysis differs from multiple regression analysis in that ___________________________________________________________.

Accepted Answer

A)  simple linear regression uses only one explanatory variable 
B)  the coefficient of correlation is meaningless in simple linear regression 
C)  goodness-of-fit measures cannot be calculated with simple linear regression 
D)  the coefficient of determination is always higher in simple linear regression 
A)  simple linear regression uses only one explanatory variable 
B)  the coefficient of correlation is meaningless in simple linear regression 
C)  goodness-of-fit measures cannot be calculated with simple linear regression 
D)  the coefficient of determination is always higher in simple linear regression

Question 15

A statistics student is asked to estimate y = β0 + β1x + ε.She calculates the following values:   = 440,   ,   = 1,120,n = 11.Which of the following is the value of y if x equals 2?

Accepted Answer

A)  6.62 
B)  11.78 
C)  58.22 
D)  63.38 
A)  6.62 
B)  11.78 
C)  58.22 
D)  63.38

Question 16

When estimating a multiple regression model,the following portion of output is obtained:   a.What is the sample regression equation?
b.Interpret the slope coefficient for x1.
c.Find the predicted value for y if x1 equals 22 and x2 equals 41.

Accepted Answer

The regression equation is @#IMG-DLM& For each exp

Question 17

Which of the following is the relationship between the slope and correlation coefficient?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model: Sales= β0 +β1 Advertising + ε.The following ANOVA table below shows a portion of the regression results.   Which of the following is the prediction of Sales for a firm with Advertising of $500?

Accepted Answer

A)  $1,480 
B)  $40,100 
C)  $54,500 
D)  $148,000 
A)  $1,480 
B)  $40,100 
C)  $54,500 
D)  $148,000

Question 19

Consider the following sample regression equation   = 200 + 10x,where y is the supply for Product A (in 1000s)(in 1,000s)and x is the price of Product A (in $).If the price of Product A is $5,then we expect supply to be _____.

Accepted Answer

A)  250 
B)  2,500 
C)  25,000 
D)  250,000. 
A)  250 
B)  2,500 
C)  25,000 
D)  250,000.

Question 20

Costco sells paperback books in their retail stores and wanted to examine the relationship between price and demand.The price of a particular novel was adjusted each week and the weekly sales were recorded in the following table.   Management would like to use simple regression analysis to estimate weekly demand for this novel using the price of the novel.The average weekly sales for the novel when priced at $10 is equal to ________.

Accepted Answer

A)  4.60 
B)  5.07 
C)  6.45 
D)  7.33 
A)  4.60 
B)  5.07 
C)  6.45 
D)  7.33

The _______ regression model allows us to study how the response variable is influenced by two or more explanatory variables.

The actual value y may differ from the expected value E(y).Therefore,we add a __ term ε to develop a simple linear regression model.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.The value of adjusted R² is the closest to ____.

When testing whether the correlation coefficient differs from zero,the value of the test statistic is t₂₀ = 1.95 with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

The positive square root of the coefficient of determination in simple linear regression is always equal to the correlation coefficient.

The value 0.75 of a sample correlation coefficient indicates a stronger linear relationship than that of 0.60.

A correlation coefficient r = −0.85 could indicate a _______________________________.

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = 0.40.The sample correlation coefficient,r_xy is equal to ____.

Simple linear regression analysis differs from multiple regression analysis in that ___________________________________________________________.

A statistics student is asked to estimate y = β₀ + β₁x + ε.She calculates the following values: = 440, , = 1,120,n = 11.Which of the following is the value of y if x equals 2?

When estimating a multiple regression model,the following portion of output is obtained: a.What is the sample regression equation? b.Interpret the slope coefficient for x₁. c.Find the predicted value for y if x₁ equals 22 and x₂ equals 41.

Which of the following is the relationship between the slope and correlation coefficient?

Consider the following sample regression equation = 200 + 10x,where y is the supply for Product A (in 1000s)(in 1,000s)and x is the price of Product A (in $).If the price of Product A is $5,then we expect supply to be _____.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Exam 14: Regression Analysis

The _______ regression model allows us to study how the response variable is influenced by two or more explanatory variables.

The actual value y may differ from the expected value E(y).Therefore,we add a ______ ____ term ε to develop a simple linear regression model.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.The value of adjusted R2 is the closest to ____.

When testing whether the correlation coefficient differs from zero,the value of the test statistic is t20 = 1.95 with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

The positive square root of the coefficient of determination in simple linear regression is always equal to the correlation coefficient.

The value 0.75 of a sample correlation coefficient indicates a stronger linear relationship than that of 0.60.

A correlation coefficient r = −0.85 could indicate a _______________________________.

Consider the following data: = 20,sx = 2, = -5,sy = 4,and b1 = 0.40.The sample correlation coefficient,rxy is equal to ____.

Simple linear regression analysis differs from multiple regression analysis in that ___________________________________________________________.

A statistics student is asked to estimate y = β0 + β1x + ε.She calculates the following values: = 440, , = 1,120,n = 11.Which of the following is the value of y if x equals 2?

When estimating a multiple regression model,the following portion of output is obtained: a.What is the sample regression equation? b.Interpret the slope coefficient for x1. c.Find the predicted value for y if x1 equals 22 and x2 equals 41.

Which of the following is the relationship between the slope and correlation coefficient?

Consider the following sample regression equation = 200 + 10x,where y is the supply for Product A (in 1000s)(in 1,000s)and x is the price of Product A (in $).If the price of Product A is $5,then we expect supply to be _____.

Statistics and Data

Tabular and Graphical Methods

Numerical Descriptive Measures

Basic Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

Chi-Square Tests

Analysis of Variance

Inference With Regression Models

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

The actual value y may differ from the expected value E(y).Therefore,we add a __ term ε to develop a simple linear regression model.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.The value of adjusted R² is the closest to ____.

When testing whether the correlation coefficient differs from zero,the value of the test statistic is t₂₀ = 1.95 with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = 0.40.The sample correlation coefficient,r_xy is equal to ____.

A statistics student is asked to estimate y = β₀ + β₁x + ε.She calculates the following values: = 440, , = 1,120,n = 11.Which of the following is the value of y if x equals 2?

When estimating a multiple regression model,the following portion of output is obtained: a.What is the sample regression equation? b.Interpret the slope coefficient for x₁. c.Find the predicted value for y if x₁ equals 22 and x₂ equals 41.