Question 1

Calculate the value of SSE.

Accepted Answer

A) 18.05 
B) 10.48 
C) 28.53 
D) 0)010 
A) 18.05 
B) 10.48 
C) 28.53 
D) 0)010

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-Using financial analysis based on the capital asset pricing model,the required return on an investment is given by:

Accepted Answer

A) (Required return on investment)= (risk-free rate)+ [(beta for investment)× ((market return)- (risk-free rate))] 
B) (Required return on investment)= (beta for investment)+ [(risk-free rate)× ((market return)- (beta for investment))] 
C) (Required return on investment)= (beta for investment)+ [(beta for investment)× ((market return)- (risk-free rate))] 
D) (Required return on investment)= (market return)+ [(beta for investment)× ((market return)- (risk-free rate))] 
A) (Required return on investment)= (risk-free rate)+ [(beta for investment)× ((market return)- (risk-free rate))] 
B) (Required return on investment)= (beta for investment)+ [(risk-free rate)× ((market return)- (beta for investment))] 
C) (Required return on investment)= (beta for investment)+ [(beta for investment)× ((market return)- (risk-free rate))] 
D) (Required return on investment)= (market return)+ [(beta for investment)× ((market return)- (risk-free rate))]

Question 3

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-What is the approximate point estimate of the final exam score for a student who has studied for 5.45 hours?

Accepted Answer

A) 81 
B) 92 
C) 85 
D) 89 
A) 81 
B) 92 
C) 85 
D) 89

Question 4

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-For the given data,what is/are the critical value(s)for testing the hypotheses at 0.05 level of significance?

Accepted Answer

A) +1.943 
B) ± 2.447 
C) +1.645 
D) -1.645 
A) +1.943 
B) ± 2.447 
C) +1.645 
D) -1.645

Question 5

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-What is the value of the test statistic for testing H0 : ρ = 0 vs.Ha : ρ >0?

Accepted Answer

A) 4.439 
B) 4.113 
C) 3.707 
D) 3.305 
A) 4.439 
B) 4.113 
C) 3.707 
D) 3.305

Question 6

In simple linear regression,the fit of the regression equation to the data is improved as error sum of squares increases and regression sum of squares decreases.

Accepted Answer

A) True 
 B)False

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics:   
,   
,   
,   
,  
-The slope of the regression line of hours on income is:

Accepted Answer

A) 0.6337 
B) 0.9482 
C) 0.5541 
D) 0.6475 
A) 0.6337 
B) 0.9482 
C) 0.5541 
D) 0.6475

Question 8

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You want to explore the relationship between the scores students receive on their first quiz and their first exam.You believe that there is a positive correlation between the two scores.
-What is the appropriate decision rule?

Accepted Answer

A) reject H0 if r(n - 2)/ (1 - r2)> tn-2,α 
B) reject H0 if r   
/
   
> tn-2,α 
C) reject H0 if r(n - 2)/   
> tn-2,α 
D) reject H0 if r(n - 2)/   
> tn-2,α/2 
A) reject H0 if r(n - 2)/ (1 - r2)> tn-2,α 
B) reject H0 if r   
/
   
> tn-2,α 
C) reject H0 if r(n - 2)/   
> tn-2,α 
D) reject H0 if r(n - 2)/   
> tn-2,α/2

Question 9

The width of the confidence interval estimate for the average value of y does not depend on the standard error of the estimate.

Accepted Answer

A) True 
 B)False

Question 10

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-For the given data,which of the following is the result of the hypothesis test?

Accepted Answer

A) Since the test statistic equals 4.439 and the critical value equals 1.645,we reject the null hypothesis and assume there is a positive correlation between the variables. 
B) Since the test statistic equals 4.113 and the critical value equals -1.645,we fail to reject the null hypothesis and assume there is no correlation between the variables. 
C) Since the test statistic equals 3.305 and the critical value equals 2.447,we reject the null hypothesis and assume there is a correlation between the variables. 
D) Since the test statistic equals 3.707 and the critical value equals 1.943,we reject the null hypothesis and assume there is a positive correlation between the variables. 
A) Since the test statistic equals 4.439 and the critical value equals 1.645,we reject the null hypothesis and assume there is a positive correlation between the variables. 
B) Since the test statistic equals 4.113 and the critical value equals -1.645,we fail to reject the null hypothesis and assume there is no correlation between the variables. 
C) Since the test statistic equals 3.305 and the critical value equals 2.447,we reject the null hypothesis and assume there is a correlation between the variables. 
D) Since the test statistic equals 3.707 and the critical value equals 1.943,we reject the null hypothesis and assume there is a positive correlation between the variables.

Question 11

Which of the following statements is the best explanation of the R2?

Accepted Answer

A) 3)5% of the accident damage can be explained by the age of the driver. 
B) 3)5% of the variation in accident damage can be explained by variation in the age of the driver. 
C) 3)5% of the coefficients,t-stat,and p-value can be explained by the age of the driver. 
D) 3)5% of the total error can be explained by the SSE. 
A) 3)5% of the accident damage can be explained by the age of the driver. 
B) 3)5% of the variation in accident damage can be explained by variation in the age of the driver. 
C) 3)5% of the coefficients,t-stat,and p-value can be explained by the age of the driver. 
D) 3)5% of the total error can be explained by the SSE.

Question 12

Calculate the total sum of squares.

Accepted Answer

R² = 0.64 =1 - @#IMG-DLM& = 1

Question 13

The t-test for the true slope β1 = 0 is identical to the t-test for the true correlation ρ = 0.

Accepted Answer

A) True 
 B)False

Question 14

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
For a sample of 20 monthly observations a financial analyst wants to regress the percentage rate of return (y)of the common stock of a corporation on the percentage rate of return (x)of the Standard and Poor's 500 Index.The following summary statistics are available:   
,   
,   
,and  
-Interpret the intercept of the sample regression line.

Accepted Answer

When the percentage rate of re

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following values of variables x and y:
  
-Construct a scatter diagram of the data points.

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The following regression statistics are given: sample size is 40,SST = 1000,and the correlation between x and y is 0.70.
-Use a simple regression model to test the hypothesis: H0 : β1 = 0 vs.H1 : β1 ≠ 0 ,with α = 0.05

Accepted Answer

MSR = SSR / 1 = 490,MSE = SSE / (n - 2)=

Question 17

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose we have the following information from a simple regression:
bS1U1B10S1U1B0= 117.4,bS1U1B11S1U1B0 = -14.39,s   
= 0.18,s   
= 0.18,n = 300,   
S1U1B1 S1U1B0= 4.3,SST = 17,045,and SSE = 12,053.
-What is the coefficient of determination?

Accepted Answer

A) 0.2929 
B) 0.7122 
C) 0.5408 
D) 0.4671 
A) 0.2929 
B) 0.7122 
C) 0.5408 
D) 0.4671

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Given a simple regression analysis,suppose that we have obtained the fitted regression model:   
S1U1B1iS1U1B0 = 6 + 8xS1U1B1iS1U1B0 and also the following statistics: sS1U1B1eS1U1B0 = 3.20,   
= 8,n = 42,and  
-Find the 95% prediction interval for the point where x =18.

Accepted Answer

The 95% prediction interval is

Question 19

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-What does a coefficient of correlation of 0.80 indicate?

Accepted Answer

A) Sixteen percent of the relationship between the dependent and independent variables are linear. 
B) Eight percent of the variation in the independent variable is explained by the dependent variable. 
C) Sixty four percent of the variation in the dependent variable is explained by the independent variable 
D) Eighty percent of the variation in the independent variable is explained by the dependent variable. 
A) Sixteen percent of the relationship between the dependent and independent variables are linear. 
B) Eight percent of the variation in the independent variable is explained by the dependent variable. 
C) Sixty four percent of the variation in the dependent variable is explained by the independent variable 
D) Eighty percent of the variation in the independent variable is explained by the dependent variable.

Question 20

The coefficient of determination represents the ratio of SSR to SST.

Accepted Answer

A) True 
 B)False

Calculate the value of SSE.

In simple linear regression,the fit of the regression equation to the data is improved as error sum of squares increases and regression sum of squares decreases.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You want to explore the relationship between the scores students receive on their first quiz and their first exam.You believe that there is a positive correlation between the two scores. -What is the appropriate decision rule?

The width of the confidence interval estimate for the average value of y does not depend on the standard error of the estimate.

Which of the following statements is the best explanation of the R²?

Calculate the total sum of squares.

The t-test for the true slope β₁ = 0 is identical to the t-test for the true correlation ρ = 0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Construct a scatter diagram of the data points.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following regression statistics are given: sample size is 40,SST = 1000,and the correlation between x and y is 0.70. -Use a simple regression model to test the hypothesis: H₀ : β₁ = 0 vs.H₁ : β₁ ≠ 0 ,with α = 0.05

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose we have the following information from a simple regression: b₀= 117.4,b₁ = -14.39,s = 0.18,s = 0.18,n = 300, = 4.3,SST = 17,045,and SSE = 12,053. -What is the coefficient of determination?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Given a simple regression analysis,suppose that we have obtained the fitted regression model: _i = 6 + 8x_i and also the following statistics: s_e = 3.20, = 8,n = 42,and -Find the 95% prediction interval for the point where x =18.

The coefficient of determination represents the ratio of SSR to SST.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 11: Simple Regression

Calculate the value of SSE.

In simple linear regression,the fit of the regression equation to the data is improved as error sum of squares increases and regression sum of squares decreases.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You want to explore the relationship between the scores students receive on their first quiz and their first exam.You believe that there is a positive correlation between the two scores. -What is the appropriate decision rule?

The width of the confidence interval estimate for the average value of y does not depend on the standard error of the estimate.

Which of the following statements is the best explanation of the R2?

Calculate the total sum of squares.

The t-test for the true slope β1 = 0 is identical to the t-test for the true correlation ρ = 0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Construct a scatter diagram of the data points.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following regression statistics are given: sample size is 40,SST = 1000,and the correlation between x and y is 0.70. -Use a simple regression model to test the hypothesis: H0 : β1 = 0 vs.H1 : β1 ≠ 0 ,with α = 0.05

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose we have the following information from a simple regression: b0= 117.4,b1 = -14.39,s = 0.18,s = 0.18,n = 300, = 4.3,SST = 17,045,and SSE = 12,053. -What is the coefficient of determination?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Given a simple regression analysis,suppose that we have obtained the fitted regression model: i = 6 + 8xi and also the following statistics: se = 3.20, = 8,n = 42,and -Find the 95% prediction interval for the point where x =18.

The coefficient of determination represents the ratio of SSR to SST.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Which of the following statements is the best explanation of the R²?

The t-test for the true slope β₁ = 0 is identical to the t-test for the true correlation ρ = 0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following regression statistics are given: sample size is 40,SST = 1000,and the correlation between x and y is 0.70. -Use a simple regression model to test the hypothesis: H₀ : β₁ = 0 vs.H₁ : β₁ ≠ 0 ,with α = 0.05

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Suppose we have the following information from a simple regression: b₀= 117.4,b₁ = -14.39,s = 0.18,s = 0.18,n = 300, = 4.3,SST = 17,045,and SSE = 12,053. -What is the coefficient of determination?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Given a simple regression analysis,suppose that we have obtained the fitted regression model: _i = 6 + 8x_i and also the following statistics: s_e = 3.20, = 8,n = 42,and -Find the 95% prediction interval for the point where x =18.