Given the augmented Phillips model: y = β0 + β1x1+β2x2 +ε,where y = actual rate of inflation (%),x1 = unemployment rate (%),and x2 = anticipated inflation rate (%).The response variable or variables(s)in this model is (are)the ___________________.

A) unemployment rate B) actual inflation rate C) anticipated inflation rate D) unemployment rate and anticipated inflation rate A) unemployment rate B) actual inflation rate C) anticipated inflation rate D) unemployment rate and anticipated inflation rate

The R2 of a multiple regression of y on x1 and x2 measures the __________.

A) percent variability of y that is explained by the variability of x1 B) percent variability of y that is explained by the variability of x2 C) statistical significance of the coefficients in the regression equation D) percent variability of y that is explained by the variability of x1 and x2 A) percent variability of y that is explained by the variability of x1 B) percent variability of y that is explained by the variability of x2 C) statistical significance of the coefficients in the regression equation D) percent variability of y that is explained by the variability of x1 and x2

A sociologist examines the relationship between the poverty rate and several socioeconomic factors.For the 50 states and the District of Columbia (n = 51),he collects data on the poverty rate (y,in %),the percent of the population with at least a high school education (x1),median income (x2,in $1000s),and the mortality rate per 1,000 residents (x3).He estimates the following model as = β0 + β1 Education + β2 Income + β3 Mortality + ε.The following ANOVA table shows a portion of the regression results. What is the poverty rate for a state where 85% of the population has at least a high school education,the median income is $50,000,and the mortality rate is 10 per 1,000 residents?

A) 12.6% B) 14.6% C) 16.6% D) 18.6% A) 12.6% B) 14.6% C) 16.6% D) 18.6%

An real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms,the number of bathrooms,and the apartment's square footage.For 40 apartments,she collects data on the rent (y,in $),the number of bedrooms (x1),the number of bathrooms (x2),and its square footage (x3).She estimates the following model as Rent = β0 + β1 Bedroom + β2 Bath + β3 Sqft + ε.The following ANOVA table shows a portion of the regression results. The coefficient of determination indicates that __________.

A) 19.08% of the variation in Rent is explained by the variation in the explanatory variables B) 19.08% of the variation in the explanatory variables is explained by the variation in Rent C) 80.92% of the variation in Rent is explained by the variation in the explanatory variables D) 80.92% of the variation in the explanatory variables is explained by the variation in Rent A) 19.08% of the variation in Rent is explained by the variation in the explanatory variables B) 19.08% of the variation in the explanatory variables is explained by the variation in Rent C) 80.92% of the variation in Rent is explained by the variation in the explanatory variables D) 80.92% of the variation in the explanatory variables is explained by the variation in Rent

A manager at a local bank analyzed the relationship between monthly salary (y,in $)and length of service (x,measured in months)for 30 employees.She estimates the model: Salary = β0 +β1 Advertising + ε.The following ANOVA table below shows a portion of the regression results. Which of the following is the monthly salary of an employee that has worked for 48 months at the bank?

A) $441. B) $785. C) $1,050. D) $1,226. A) $441. B) $785. C) $1,050. D) $1,226.

Exam 14: Regression Analysis

Given the augmented Phillips model: y = β₀ + β₁x₁+β₂x₂+ε,where y = actual rate of inflation (%),x₁ = unemployment rate (%),and x₂ = anticipated inflation rate (%).The response variable or variables(s)in this model is (are)the ___________________.

(Multiple Choice)

4.9/5

(25)

Question 41

Unlike the coefficient of determination,the coefficient of correlation in a simple linear regression ___________.

(Multiple Choice)

4.9/5

(43)

Question 42

The variance of the rates of return is 0.25 for stock X and 0.01 for stock Y.The covariance between the returns of X and Y is -0.01.The correlation of the rates of return between X and Y is _____.

(Multiple Choice)

4.8/5

(41)

Question 43

The R² of a multiple regression of y on x₁ and x₂ measures the __________.

(Multiple Choice)

4.9/5

(35)

Question 44

A sociologist examines the relationship between the poverty rate and several socioeconomic factors.For the 50 states and the District of Columbia (n = 51),he collects data on the poverty rate (y,in %),the percent of the population with at least a high school education (x₁),median income (x₂,in $1000s),and the mortality rate per 1,000 residents (x₃).He estimates the following model as = β₀ + β₁ Education + β₂ Income + β₃ Mortality + ε.The following ANOVA table shows a portion of the regression results. What is the poverty rate for a state where 85% of the population has at least a high school education,the median income is $50,000,and the mortality rate is 10 per 1,000 residents?

(Multiple Choice)

4.9/5

(28)

Question 45

An real estate analyst believes that the three main factors that influence an apartment's rent in a college town are the number of bedrooms,the number of bathrooms,and the apartment's square footage.For 40 apartments,she collects data on the rent (y,in $),the number of bedrooms (x₁),the number of bathrooms (x₂),and its square footage (x₃).She estimates the following model as Rent = β₀ + β₁ Bedroom + β₂ Bath + β₃ Sqft + ε.The following ANOVA table shows a portion of the regression results. The coefficient of determination indicates that __________.

(Multiple Choice)

4.9/5

(40)

Question 46

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 coefficient of determination for this sample is equal to ________.

(Multiple Choice)

4.9/5

(40)

Question 47

The capital asset pricing model is given by R - R_F = α + β(R_M - R_f)+ ε,where R_M = expected return on the market,R_f= risk-free market return,and R = expected return on a stock or portfolio of interest.The response variable in this model is ________.

(Multiple Choice)

4.8/5

(28)

Question 48

A regression equation was estimated as = -100 + 0.5x.If x = 20,the predicted value of y is _____.

(Multiple Choice)

4.8/5

(37)

Question 49

Covariance can be used to determine if the linear relationship between two variables is positive or negative.

(True/False)

4.8/5

(35)

Question 50

With regression analysis,we explicitly assume that one variable,called the _______ variable,is influenced by other variable,called the explanatory variable.

(Essay)

4.8/5

(31)

Question 51

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 s_x= 35.77,s_y= 13.34,s_xy= 447.68.The competing hypotheses are .Which of the following is the value of the test statistic?

(Multiple Choice)

4.9/5

(38)

Question 52

A manager at a local bank analyzed the relationship between monthly salary (y,in $)and length of service (x,measured in months)for 30 employees.She estimates the model: Salary = β₀ +β₁ Advertising + ε.The following ANOVA table below shows a portion of the regression results. Which of the following is the monthly salary of an employee that has worked for 48 months at the bank?

(Multiple Choice)

4.9/5

(35)

Question 53

In a simple linear regression model,if the plots on a scatter diagram lie on a straight line,which of the following is the coefficient of determination?

(Multiple Choice)

4.7/5

(31)

Question 54

Over the past 30 years,the sample standard deviations of the rates of return for stock X and sStock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096.The correlation of the rates of return between X and Y is the closest to ____.

(Multiple Choice)

4.9/5

(32)

Question 55

In testing the population correlation coefficient,the alternative hypothesis is H_A: ρ_xy ≠ 1.

(True/False)

4.7/5

(35)

Question 56

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 sample regression equation?

(Multiple Choice)

4.8/5

(32)

Question 57

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 s_x= 35.77,s_y= 13.34,s_xy= 447.68.The competing hypotheses are .At the 5% significance level,which of the following is the critical value of the test statistic?

(Multiple Choice)

4.9/5

(32)

Question 58

Assume you ran a multiple regression to gain a better understanding of the relationship between lumber sales,housing starts,and commercial construction.The regression uses lumber sales (in $100,000s)as the response variable with housing starts (in 1000s)(in 1,000s)and commercial construction (in 1000s)(in 1,000s)as the explanatory variables.The estimated model is Lumber Sales = β₀ + β₁ Housing Starts + β₂Commercial Contructions + ε.The following ANOVA table summarizes a portion of the regression results. The standard deviation of the difference between actual lumber sales and the estimate of those sales is ____.

(Multiple Choice)

4.8/5

(38)

Question 59

The value 0.35 of a sample correlation coefficient indicates a weaker linear relationship than that of -0.40.

(True/False)

4.7/5

(41)

Question 60

Showing 41 - 60 of 140

Given the augmented Phillips model: y = β₀ + β₁x₁+β₂x₂+ε,where y = actual rate of inflation (%),x₁ = unemployment rate (%),and x₂ = anticipated inflation rate (%).The response variable or variables(s)in this model is (are)the ___________________.

Unlike the coefficient of determination,the coefficient of correlation in a simple linear regression ___________.

The variance of the rates of return is 0.25 for stock X and 0.01 for stock Y.The covariance between the returns of X and Y is -0.01.The correlation of the rates of return between X and Y is _____.

The R² of a multiple regression of y on x₁ and x₂ measures the __________.

The capital asset pricing model is given by R - R_F = α + β(R_M - R_f)+ ε,where R_M = expected return on the market,R_f= risk-free market return,and R = expected return on a stock or portfolio of interest.The response variable in this model is ________.

A regression equation was estimated as = -100 + 0.5x.If x = 20,the predicted value of y is _____.

Covariance can be used to determine if the linear relationship between two variables is positive or negative.

With regression analysis,we explicitly assume that one variable,called the _______ variable,is influenced by other variable,called the explanatory variable.

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 s_x= 35.77,s_y= 13.34,s_xy= 447.68.The competing hypotheses are .Which of the following is the value of the test statistic?

In a simple linear regression model,if the plots on a scatter diagram lie on a straight line,which of the following is the coefficient of determination?

Over the past 30 years,the sample standard deviations of the rates of return for stock X and sStock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096.The correlation of the rates of return between X and Y is the closest to ____.

In testing the population correlation coefficient,the alternative hypothesis is H_A: ρ_xy ≠ 1.

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 sample regression equation?

The value 0.35 of a sample correlation coefficient indicates a weaker linear relationship than that of -0.40.

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

Given the augmented Phillips model: y = β0 + β1x1+β2x2 +ε,where y = actual rate of inflation (%),x1 = unemployment rate (%),and x2 = anticipated inflation rate (%).The response variable or variables(s)in this model is (are)the ___________________.

Unlike the coefficient of determination,the coefficient of correlation in a simple linear regression ___________.

The variance of the rates of return is 0.25 for stock X and 0.01 for stock Y.The covariance between the returns of X and Y is -0.01.The correlation of the rates of return between X and Y is _____.

The R2 of a multiple regression of y on x1 and x2 measures the __________.

The capital asset pricing model is given by R - RF = α + β(RM - Rf)+ ε,where RM = expected return on the market,Rf = risk-free market return,and R = expected return on a stock or portfolio of interest.The response variable in this model is ________.

A regression equation was estimated as = -100 + 0.5x.If x = 20,the predicted value of y is _____.

Covariance can be used to determine if the linear relationship between two variables is positive or negative.

With regression analysis,we explicitly assume that one variable,called the _______ variable,is influenced by other variable,called the explanatory variable.

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 .Which of the following is the value of the test statistic?

In a simple linear regression model,if the plots on a scatter diagram lie on a straight line,which of the following is the coefficient of determination?

Over the past 30 years,the sample standard deviations of the rates of return for stock X and sStock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096.The correlation of the rates of return between X and Y is the closest to ____.

In testing the population correlation coefficient,the alternative hypothesis is HA: ρxy ≠ 1.

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 sample regression equation?

The value 0.35 of a sample correlation coefficient indicates a weaker linear relationship than that of -0.40.

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

Given the augmented Phillips model: y = β₀ + β₁x₁+β₂x₂+ε,where y = actual rate of inflation (%),x₁ = unemployment rate (%),and x₂ = anticipated inflation rate (%).The response variable or variables(s)in this model is (are)the ___________________.

The R² of a multiple regression of y on x₁ and x₂ measures the __________.

The capital asset pricing model is given by R - R_F = α + β(R_M - R_f)+ ε,where R_M = expected return on the market,R_f= risk-free market return,and R = expected return on a stock or portfolio of interest.The response variable in this model is ________.

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 s_x= 35.77,s_y= 13.34,s_xy= 447.68.The competing hypotheses are .Which of the following is the value of the test statistic?

In testing the population correlation coefficient,the alternative hypothesis is H_A: ρ_xy ≠ 1.

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 sample regression equation?