Consider the sample regression equation = 12 + 3x1 - 5x2 + 7x3 - 2x4.When x1 increases by 1 unit and x2 increases by 2 units,while x3 and x4 remain unchanged,what change would you expect in the predicted y?

A) Decrease by 2 B) Decrease by 4 C) Decrease by 7 D) No change in predicted y A) Decrease by 2 B) Decrease by 4 C) Decrease by 7 D) No change in predicted y C

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 standard error of the estimate?

A) 3.20 B) 269.63 C) 322.25 D) 72699 A) 3.20 B) 269.63 C) 322.25 D) 72699

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 y = β0 + β1 Education + β2 Income + β3 Mortality + ε.The following ANOVA table shows a portion of the regression results. Which of the following is the value of the mean square error, (MSE)?

A) 0 B) 1.5 C) 3.0 D) 4.5 A) 0 B) 1.5 C) 3.0 D) 4.5

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 slope coefficient attached to Bedroom indicates that,holding other explanatory variables constant,____________.

A) an additional bedroom increases rent,on average,by $226 B) an additional bedroom increases rent,on average,by $526 C) an additional $226 in rent will lead to an additional bedroom D) an additional $526 in rent will lead to an additional bedroom A) an additional bedroom increases rent,on average,by $226 B) an additional bedroom increases rent,on average,by $526 C) an additional $226 in rent will lead to an additional bedroom D) an additional $526 in rent will lead to an additional bedroom

Consider the sample regression equation 100 + 10x,with an R2 value of 0.81.Which of the following is the value of the sample correlation between y and ?

A) −0.90 B) −0.81 C) 0.81 D) 0.90 A) −0.90 B) −0.81 C) 0.81 D) 0.90

Consider the following simple linear regression model: y = β0 + β1x +ε.The response variable is ____.

A) y B) x C) ε D) β0 A) y B) x C) ε D) β0

Exam 14: Regression Analysis

An analyst examines the effect that various variables have on crop yield.He estimates the following model: ,where y is the average yield in bushels per acre,x₁ is the amount of summer rainfall,x₂ is the average daily use in machine hours of tractors on the farm,and x₃ is the amount of fertilizer used per acre.A portion of the regression results is shown in the accompanying table. a.Predict the crop yield per acre if x₁ is 5,x₂ is 4,and x₃ is the 0.5. b.Calculate the standard deviation of the difference between the actual crop yield and the estimate of the crop yield. c.How much of the variation in crop yield is unexplained by the model?

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Question 1

Correct Answer:

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The regression equation is .Use given coefficients,x₁,x₂,andx₃,to compute the value of .The standard error of the estimate, ,is a point estimate of the standard deviation of a random error,and it is computed as .The coefficient of determination is the proportion of the variation in the response variable that is explained by the sample regression equation,and it is computed as .The value of defines an unexplained part of variation.

Consider the sample regression equation = 12 + 3x₁ - 5x₂ + 7x₃ - 2x₄.When x₁ increases by 1 unit and x₂ increases by 2 units,while x₃ and x₄ remain unchanged,what change would you expect in the predicted y?

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(Multiple Choice)

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Question 2

Correct Answer:

Verified

Consider the following sample regression equation = 150 - 20x,where y is the demand for Product A (in 1,000s)and x is the price of the product (in $).If the price of Product A is $5,then we expect demand to be ______.

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(Multiple Choice)

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Question 3

Correct Answer:

Verified

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = 0.40.Which of the following is the sample regression equation?

(Multiple Choice)

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Question 4

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 standard error of the estimate?

(Multiple Choice)

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Question 5

In the estimation of a multiple regression model with two explanatory variables and 20 observations,SSE = 550 and SST = 1000.Which of the following is the correct value of R²?

(Multiple Choice)

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Question 6

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 y = β₀ + β₁ Education + β₂ Income + β₃ Mortality + ε.The following ANOVA table shows a portion of the regression results. Which of the following is the value of the mean square error, (MSE)?

(Multiple Choice)

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Question 7

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 slope coefficient attached to Bedroom indicates that,holding other explanatory variables constant,____________.

(Multiple Choice)

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Question 8

_______ correlation can make two variables appear closely related when no casual relation exists.

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Question 9

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 coefficient of determination?

(Multiple Choice)

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Question 10

A sociologist studies the relationship between a district's average score on a standardized test for 10th-grade students (y),the average school expenditures per student (x₁ in $1,000s),and an index of the socioeconomic status of the district (x₂).The following model is estimated: .A portion of the regression results is shown in the accompanying table. a.Predict a district's average test score if average expenditures are $4,500 and the district's social index is 8. b.Interpret the slope coefficient attached to Expenditures. c.Calculate the standard error of the estimate. d.Calculate and interpret the coefficient of determination. e.Calculate the adjusted R².

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Question 11

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = -0.8.Which of the following is the sample regression equation?

(Multiple Choice)

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Question 12

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 total sum of squares for this sample is equal to ________.

(Multiple Choice)

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Question 13

A portfolio manager is interested in reducing the risk of a particular portfolio by including assets that have little,if any,correlation.He wonders whether the stock prices for the firms Apple and Google are correlated.As a very preliminary step,he collects the monthly closing stock price for each firm from January 2012 to April 2012. a.Compute the sample correlation coefficient. b.Specify the competing hypotheses in order to determine whether the stock prices are correlated. c.Calculate the value of the test statistic and approximate the corresponding p-value. d.At the 5% significance level,what is the conclusion to the test? Explain.

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Question 14

Consider the sample regression equation 100 + 10x,with an R² value of 0.81.Which of the following is the value of the sample correlation between y and ?

(Multiple Choice)

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Question 15

When estimating = β₀ + β₁x₁ + β₂x₂+ε,the following regression results using ANOVA were obtained. Which of the following is the standard error of the estimate?

(Multiple Choice)

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Question 16

If two linear regression models have the same number of explanatory variables,a model with an R² value of 0.45 is a better prediction model than a model with an R² value of 0.65.

(True/False)

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Question 17

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 Constructions + ε.The following ANOVA table summarizes a portion of the regression results. The explanatory variables (Housing Starts and Commercial Construction)together explained approximately _____% of the variations in the response variable (Lumber Sales).

(Multiple Choice)

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Question 18

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.Which of the following is the correct value of R²?

(Multiple Choice)

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Question 19

Consider the following simple linear regression model: y = β₀ + β₁x +ε.The response variable is ____.

(Multiple Choice)

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Question 20

Showing 1 - 20 of 140

Consider the sample regression equation = 12 + 3x₁ - 5x₂ + 7x₃ - 2x₄.When x₁ increases by 1 unit and x₂ increases by 2 units,while x₃ and x₄ remain unchanged,what change would you expect in the predicted y?

Consider the following sample regression equation = 150 - 20x,where y is the demand for Product A (in 1,000s)and x is the price of the product (in $).If the price of Product A is $5,then we expect demand to be ______.

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = 0.40.Which of the following is the sample regression equation?

In the estimation of a multiple regression model with two explanatory variables and 20 observations,SSE = 550 and SST = 1000.Which of the following is the correct value of R²?

_______ correlation can make two variables appear closely related when no casual relation exists.

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = -0.8.Which of the following is the sample regression equation?

Consider the sample regression equation 100 + 10x,with an R² value of 0.81.Which of the following is the value of the sample correlation between y and ?

When estimating = β₀ + β₁x₁ + β₂x₂+ε,the following regression results using ANOVA were obtained. Which of the following is the standard error of the estimate?

If two linear regression models have the same number of explanatory variables,a model with an R² value of 0.45 is a better prediction model than a model with an R² value of 0.65.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.Which of the following is the correct value of R²?

Consider the following simple linear regression model: y = β₀ + β₁x +ε.The response variable is ____.

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Sampling and Sampling Distributions

Interval Estimation

Hypothesis Testing

Statistical Inference Concerning Two Populations

Statistical Inference Concerning Variance

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Exam 14: Regression Analysis

Consider the sample regression equation = 12 + 3x1 - 5x2 + 7x3 - 2x4.When x1 increases by 1 unit and x2 increases by 2 units,while x3 and x4 remain unchanged,what change would you expect in the predicted y?

Consider the following sample regression equation = 150 - 20x,where y is the demand for Product A (in 1,000s)and x is the price of the product (in $).If the price of Product A is $5,then we expect demand to be ______.

Consider the following data: = 20,sx = 2, = -5,sy = 4,and b1 = 0.40.Which of the following is the sample regression equation?

In the estimation of a multiple regression model with two explanatory variables and 20 observations,SSE = 550 and SST = 1000.Which of the following is the correct value of R2?

_______ correlation can make two variables appear closely related when no casual relation exists.

Consider the following data: = 20,sx = 2, = -5,sy = 4,and b1 = -0.8.Which of the following is the sample regression equation?

Consider the sample regression equation 100 + 10x,with an R2 value of 0.81.Which of the following is the value of the sample correlation between y and ?

When estimating = β0 + β1x1 + β2x2 +ε,the following regression results using ANOVA were obtained. Which of the following is the standard error of the estimate?

If two linear regression models have the same number of explanatory variables,a model with an R2 value of 0.45 is a better prediction model than a model with an R2 value of 0.65.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.Which of the following is the correct value of R2?

Consider the following simple linear regression model: y = β0 + β1x +ε.The response variable is ____.

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

Consider the sample regression equation = 12 + 3x₁ - 5x₂ + 7x₃ - 2x₄.When x₁ increases by 1 unit and x₂ increases by 2 units,while x₃ and x₄ remain unchanged,what change would you expect in the predicted y?

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = 0.40.Which of the following is the sample regression equation?

In the estimation of a multiple regression model with two explanatory variables and 20 observations,SSE = 550 and SST = 1000.Which of the following is the correct value of R²?

Consider the following data: = 20,s_x = 2, = -5,s_y = 4,and b₁ = -0.8.Which of the following is the sample regression equation?

Consider the sample regression equation 100 + 10x,with an R² value of 0.81.Which of the following is the value of the sample correlation between y and ?

When estimating = β₀ + β₁x₁ + β₂x₂+ε,the following regression results using ANOVA were obtained. Which of the following is the standard error of the estimate?

If two linear regression models have the same number of explanatory variables,a model with an R² value of 0.45 is a better prediction model than a model with an R² value of 0.65.

In the estimation of a multiple regression model with four explanatory variables and 25 observations,SSE = 660 and SST = 1,000.Which of the following is the correct value of R²?

Consider the following simple linear regression model: y = β₀ + β₁x +ε.The response variable is ____.