A researcher studies the relationship between SAT scores,the test-taker's family income,and his or her grade point average (GPA).Data are collected from 24 students.He estimates the following model: SAT = β0 + β1 GPA + β2 Income + ε.The following table summarizes a portion of the regression results. At the 5% significance level,which of the following explanatory variable(s)is(are)individually significant?

A) Only Income. B) Both,GPA and Income. C) Only GPA. D) Neither GPA nor Income. A) Only Income. B) Both,GPA and Income. C) Only GPA. D) Neither GPA nor Income.

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 following model: Salary = β0 + β1 Service + ε.The following table summarizes a portion of the regression results. Using the 95% confidence interval,which of the following is the conclusion to the following hypothesis test: H0:β0 = 0;HA: β0 ≠ 0?

A) At the 5% significance level,reject H0 because the interval contains 0. B) At the 5% significance level,do not reject H0 because the interval contains 0. C) At the 5% significance level,reject H0 because the interval does not contain 0. D) At the 5% significance level,do not reject H0 because the interval does not contain 0. A) At the 5% significance level,reject H0 because the interval contains 0. B) At the 5% significance level,do not reject H0 because the interval contains 0. C) At the 5% significance level,reject H0 because the interval does not contain 0. D) At the 5% significance level,do not reject H0 because the interval does not contain 0.

The accompanying table shows the regression results when estimating y = β0 + β1x + ε. When testing whether the slope coefficient differs from 1,the value of the test statistic is ____.

A) 0.66 B) 1.42 C) 1.96 D) 2.25 A) 0.66 B) 1.42 C) 1.96 D) 2.25

Exam 15: Inference With Regression Models

A researcher analyzes the factors that may influence amusement park attendance and estimates the following model: Attendance = β₀ + β₁ Price + β₂ Rides + ε,where Attendance is the daily attendance (in 1,000s),Price is the gate price (in $),and Rides is the number of rides at the amusement park.The researcher would like to construct interval estimates for Attendance when Price and Rides equal $85 and 30,respectively.The researcher estimates a modified model where Attendance is the response variable and the explanatory variables are now defined as Price* = Price - 85 and Rides* = Rides - 30.A portion of the regression results is shown in the accompanying table. According to the modified model,which of the following is a 95% prediction interval for Attendance when Price and Rides equal $85 and 30,respectively? (Note that t_0.025,27 = 2.052. )

(Multiple Choice)

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Question 41

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. a.Specify the competing hypotheses to determine whether x is significant in y. b.At the 5% significance level,is x significant? Explain.

(Essay)

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Question 42

A researcher studies the relationship between SAT scores,the test-taker's family income,and his or her grade point average (GPA).Data are collected from 24 students.He estimates the following model: SAT = β₀ + β₁ GPA + β₂ Income + ε.The following table summarizes a portion of the regression results. At the 5% significance level,which of the following explanatory variable(s)is(are)individually significant?

(Multiple Choice)

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Question 43

The alternative hypothesis for the test of joint significance is specified as: H_A: At least two β_j ≠ 0.

(True/False)

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Question 44

The accompanying table shows the regression results when estimating y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε. a.Specify the competing hypotheses to determine whether the explanatory variables are jointly significant. b.At the 5% significance level,are the explanatory variables jointly significant? Explain. c.At the 5% significance level,is x₂ significant in explaining y? Explain. d.At the 5% significance level,is the slope coefficient attached to x₃ different from −2?

(Essay)

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Question 45

A sociologist wishes to study the relationship between happiness and age.He interviews 24 individuals and collects data on age and happiness,measured on a scale from 0 to 100.He estimates the following model: Happiness = β₀ + β₁Age + ε.The following table summarizes a portion of the regression results. At the 1% significance level,which of the following is correct?

(Multiple Choice)

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Question 46

The test statistic for testing the individual significance is assumed to follow the t distribution with n - k - 2 degrees of freedom,where n is the sample size and k is the number of explanatory variables.

(True/False)

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Question 47

If in the multiple linear model the slope coefficient β_i is negative,it suggests an inverse (negative)relationship between the explanatory variable x_i and the response variable y.

(True/False)

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Question 48

The term multicollinearity refers to the condition when the variance of the error term,conditional on x₁,x₂,…,x_n,is the same for all observations.

(True/False)

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Question 49

A sports analyst wants to exam the factors that may influence a tennis player's chances of winning.Over four tournaments,he collects data on 30 tennis players and estimates the following model: Win = β₀ + β₁ Double Faults + β₂Aces + ε,where Win is the proportion of winning,Double Faults is the percentage of double faults made,and Aces is the number of aces.A portion of the regression results are shown in the accompanying table. Is the relationship between Win and Aces significant at the 5% significance level?

(Multiple Choice)

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Question 50

One of the required assumptions of regression analysis states that the error term has a(an)________ value of zero.

(Essay)

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Question 51

A sports analyst wants to exam the factors that may influence a tennis player's chances of winning.Over four tournaments,he collects data on 30 tennis players and estimates the following model: Win = β₀ + β₁ Double Faults + β₂Aces + ε,where Win is the proportion of winning,Double Faults is the percentage of double faults made,and Aces is the number of aces.A portion of the regression results are shown in the accompanying table. When testing whether the explanatory variables jointly influence the response variable,the null hypothesis is ______________________.

(Multiple Choice)

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Question 52

An analyst examines the effect that various variables have on crop yield.He estimates y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε.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.The results of the regression are as follows: a.At the 10% significance level,are the explanatory variables jointly significant in explaining crop yield? Explain. b.At the 10% significance level,is fertilizer significant in explaining crop yield? Explain. c.At the 10% significance level,can you conclude that the slope coefficient attached to rainfall differs from 9? Explain.

(Essay)

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Question 53

Given the following portion of regression results,which of the following is the value of the F_2,20 test statistic?

(Multiple Choice)

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Question 54

When some explanatory variables of a regression model are strongly correlated,this phenomenon is called serial correlation.

(True/False)

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Question 55

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 following model: Salary = β₀ + β₁ Service + ε.The following table summarizes a portion of the regression results. Using the 95% confidence interval,which of the following is the conclusion to the following hypothesis test: H₀:β₀ = 0;H_A: β₀ ≠ 0?

(Multiple Choice)

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Question 56

Which of the following is the 95% confidence interval for the regression coefficient β₁,if df = 30,b₁= −2 and

(Multiple Choice)

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Question 57

Which of the following is the correct expression for computing a 100(1 - α)% prediction interval for an individual value of y?

(Multiple Choice)

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Question 58

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. When testing whether the slope coefficient differs from 1,the value of the test statistic is ____.

(Multiple Choice)

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Question 59

A researcher analyzes the factors that may influence amusement park attendance.She estimates the following model: Attendance = β₀ + β₁ Price + β₂ Temperature + β₃ Rides + ε,whereAttendance is the daily attendance (in 1,000s),Price is the gate price (in $),Temperature is the average daily temperature (in ^oF),and Rides is the number of rides at the amusement park.A portion of the regression results is shown in the accompanying table. Which of the following are the hypotheses to test if the explanatory variables Temperature and Rides are jointly significant in explaining Attendance?

(Multiple Choice)

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Question 60

Showing 41 - 60 of 124

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. a.Specify the competing hypotheses to determine whether x is significant in y. b.At the 5% significance level,is x significant? Explain.

The alternative hypothesis for the test of joint significance is specified as: H_A: At least two β_j ≠ 0.

The test statistic for testing the individual significance is assumed to follow the t distribution with n - k - 2 degrees of freedom,where n is the sample size and k is the number of explanatory variables.

If in the multiple linear model the slope coefficient β_i is negative,it suggests an inverse (negative)relationship between the explanatory variable x_i and the response variable y.

The term multicollinearity refers to the condition when the variance of the error term,conditional on x₁,x₂,…,x_n,is the same for all observations.

One of the required assumptions of regression analysis states that the error term has a(an)________ value of zero.

Given the following portion of regression results,which of the following is the value of the F_2,20 test statistic?

When some explanatory variables of a regression model are strongly correlated,this phenomenon is called serial correlation.

Which of the following is the 95% confidence interval for the regression coefficient β₁,if df = 30,b₁= −2 and

Which of the following is the correct expression for computing a 100(1 - α)% prediction interval for an individual value of y?

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. When testing whether the slope coefficient differs from 1,the value of the test statistic 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

Regression Analysis

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

Exam 15: Inference With Regression Models

The accompanying table shows the regression results when estimating y = β0 + β1x + ε. a.Specify the competing hypotheses to determine whether x is significant in y. b.At the 5% significance level,is x significant? Explain.

The alternative hypothesis for the test of joint significance is specified as: HA: At least two βj ≠ 0.

The test statistic for testing the individual significance is assumed to follow the t distribution with n - k - 2 degrees of freedom,where n is the sample size and k is the number of explanatory variables.

If in the multiple linear model the slope coefficient βi is negative,it suggests an inverse (negative)relationship between the explanatory variable xi and the response variable y.

The term multicollinearity refers to the condition when the variance of the error term,conditional on x1,x2,…,xn,is the same for all observations.

One of the required assumptions of regression analysis states that the error term has a(an)________ value of zero.

Given the following portion of regression results,which of the following is the value of the F2,20 test statistic?

When some explanatory variables of a regression model are strongly correlated,this phenomenon is called serial correlation.

Which of the following is the 95% confidence interval for the regression coefficient β1,if df = 30,b1= −2 and

Which of the following is the correct expression for computing a 100(1 - α)% prediction interval for an individual value of y?

The accompanying table shows the regression results when estimating y = β0 + β1x + ε. When testing whether the slope coefficient differs from 1,the value of the test statistic 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

Regression Analysis

Regression Models for Nonlinear Relationships

Regression Models With Dummy Variables

Time Series and Forecasting

Returns, Index Numbers and Inflation

Nonparametric Tests

Filters

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. a.Specify the competing hypotheses to determine whether x is significant in y. b.At the 5% significance level,is x significant? Explain.

The alternative hypothesis for the test of joint significance is specified as: H_A: At least two β_j ≠ 0.

If in the multiple linear model the slope coefficient β_i is negative,it suggests an inverse (negative)relationship between the explanatory variable x_i and the response variable y.

The term multicollinearity refers to the condition when the variance of the error term,conditional on x₁,x₂,…,x_n,is the same for all observations.

Given the following portion of regression results,which of the following is the value of the F_2,20 test statistic?

Which of the following is the 95% confidence interval for the regression coefficient β₁,if df = 30,b₁= −2 and

The accompanying table shows the regression results when estimating y = β₀ + β₁x + ε. When testing whether the slope coefficient differs from 1,the value of the test statistic is ____.