Question 1

In the National Football League (NFL),having an effective passing game is seen to be important in order to win games.The following information for the 32 NFL teams in the 2007 season concerns the points a team scores per game (Pts/Gm)and the percent of its passes that were completed (Pass%).The ANOVA table is provided for the simple linear regression fit of Pts/Gm on Pass%.(Some entries have been omitted and replaced with **).  From the computer output for the least-squares fit,the following results were given:  ,  = 0.3786,and  = 4.001.Also,it was determined that  = 61.05%,  = 425.28,  = 11.865,and  = 0.194. What is the standard error of the estimated Pts/Gm for a team that completed 60% of its passes?

Accepted Answer

A) 1.034 
B) 1.017 
C) 0.707 
D) 4.068 
E) 0.194

Question 2

There is an old saying in golf: "You drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money.To see if this is the case,data on the top 69 money winners on the PGA tour in 1993 are examined.The average number of putts per hole for each player is used to predict the total winnings (in thousands of dollars)using the simple linear regression model (1993 winnings)i = F1F1F1S1F1F1F100 + F1F1F1S1F1F1F101(average number of putts per hole)i + F1F1F1S1F1F1F10i,
Where the deviations F1F1F1S1F1F1F10i are assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of F1F1F1S1F1F1F10.This model was fit to the data using the method of least squares.The following results were obtained from statistical software.   The following (partial)ANOVA table was obtained from statistical software.  What is the value of the SST,the total sum of squares?

Accepted Answer

A) 79,398 
B) 471,605 
C) 5,319,690 
D) 5,791,295

Question 3

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the value of the estimate for F1F1F1S1F1F1F10,the standard deviation of the deviations F1F1F1S1F1F1F10_i?

Accepted Answer

The answer of The following scatter plot and SPSS output...

Question 4

For the 2009 NFL season,data are available on such variables as the total yards gained by passing and by rushing for each of the 32 teams.The following is a scatter plot of the two variables,PassYds and RushYds.  It was found that the correlation between the two variables was r = -0.313.In a test of hypothesis of H0:F1F1F1S1F1F1F10 = 0 against Ha:F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 0,with F1F1F1S1F1F1F10 = 0.05,the value of the test statistic and its degrees of freedom are,respectively,

Accepted Answer

A) t = -1.81 anddf = 31. 
B) t = -2.04 and df = 30. 
C) t = -2.04 and df = 31. 
D) t = -1.81 and df = 30. 
E) This cannot be determined without knowing SSM and SST.

Question 5

In the National Football League (NFL),having an effective passing game is seen to be important in order to win games.The following information for the 32 NFL teams in the 2007 season concerns the points a team scores per game (Pts/Gm)and the percent of its passes that were completed (Pass%).The ANOVA table is provided for the simple linear regression fit of Pts/Gm on Pass%.(Some entries have been omitted and replaced with **).  From the computer output for the least-squares fit,the following results were given:  ,  = 0.3786,and  = 4.001.Also,it was determined that  = 61.05%,  = 425.28,  = 11.865,and  = 0.194. What is the value of the test statistic for testing H0:  = 0 against Ha:  F1F1F1S1F1F1F10 0?

Accepted Answer

A) F = 4.28 
B) F = 3.70 
C) F =18.28 
D) F = 11.86 
E) None of the above

Question 6

Suppose we are given the following information: Sample size,n,= 100
Standard error of slope of the regression line,  = 2  = 100 + 4x
What is the P-value for a test of the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?

Accepted Answer

A) .04 
B) .05 
C) .02 
D) None of the above

Question 7

The statistical model for simple linear regression has the form  ,i = 1,2,…,n.Which of the following statements about this statistical model is/are TRUE?

Accepted Answer

A) The  are assumed to be Normally distributed with a mean of 0 and a standard deviation of F1F1F1S1F1F1F10. 
B) The parameters of this model are  ,
 ,and F1F1F1S1F1F1F10. 
C)    is the mean response when  . 
D) The  ,i = 1,2,…,n are independent. 
E) All of the above are true.

Question 8

In the National Football League (NFL),having an effective passing game is seen to be important in order to win games.The following information for the 32 NFL teams in the 2007 season concerns the points a team scores per game (Pts/Gm)and the percent of its passes that were completed (Pass%).The ANOVA table is provided for the simple linear regression fit of Pts/Gm on Pass%.(Some entries have been omitted and replaced with **).  From the computer output for the least-squares fit,the following results were given:  ,  = 0.3786,and  = 4.001.Also,it was determined that  = 61.05%,  = 425.28,  = 11.865,and  = 0.194. For teams that complete 60% of their passes,the estimated mean Pts/Gm and the standard error of the estimate are,respectively,

Accepted Answer

A)   = 21.69 and  = 0.194. 
B)   = 20.82 and  = 0.736. 
C)   = 20.82 and  = 0.707. 
D)   = 21.69 and  = 0.707. 
E)   = 20.82 and  = 0.194.

Question 9

A study was conducted to monitor the emissions of a noxious substance from a chemical plant and the concentration of the chemical at a location in close proximity to the plant at various times throughout the year.A total of 14 measurements were made.Computer output for the simple linear regression least-squares fit is provided.(Some entries have been omitted and replaced with **. )  What is the value for the SSE?

Accepted Answer

A) 27.50559 
B) 10.26688 
C) 1.142937 
D) 2.292 
E) This cannot be determined with the information provided.

Question 10

A random sample of 79 companies from the Forbes 500 list (which actually consists of nearly 800 companies)was selected,and the relationship between sales (in hundreds of thousands of dollars)and profits (in hundreds of thousands of dollars)was investigated by regression.The following results were obtained from statistical software.   What is approximately the value of the intercept of the least-squares regression line?

Accepted Answer

A) 0.0075 
B) 0.0925 
C) 61.16 
D) -176.64

Question 11

A random sample of 79 companies from the Forbes 500 list (which actually consists of nearly 800 companies)was selected,and the relationship between sales (in hundreds of thousands of dollars)and profits (in hundreds of thousands of dollars)was investigated by regression.The following results were obtained from statistical software.   The following (partial)ANOVA table was obtained from statistical software.  What are the degrees of freedom for SSE,the error sum of squares?

Accepted Answer

A) 2 
B) 77 
C) 78 
D) 79

Question 12

A recent study was done to assess factors that put Hispanic populations more at risk for obesity and related chronic diseases,such as diabetes and heart disease,than non-Hispanic populations.Data were collected on several factors,such as the crude morality rate of Hispanics,obesity prevalence,percent of adults diagnosed with diabetes,and median income at the state level.Pearson's Correlations were used to examine the strength of the relationship between obesity and the other variables,as a way of observing which characteristics were associated with high prevalence of obesity.In addition,a simple linear regression was used to model the relationship between diabetes and obesity.The results from SPSS are shown below.     What is the slope of the least-squares regression line to predict obesity rates from diabetes rates?

Accepted Answer

A) 1.43 
B) 13.64 
C) 0 
D) None of the above

Question 13

A recent study was done to assess factors that put Hispanic populations more at risk for obesity and related chronic diseases,such as diabetes and heart disease,than non-Hispanic populations.Data were collected on several factors,such as the crude morality rate of Hispanics,obesity prevalence,percent of adults diagnosed with diabetes,and median income at the state level.Pearson's Correlations were used to examine the strength of the relationship between obesity and the other variables,as a way of observing which characteristics were associated with high prevalence of obesity.In addition,a simple linear regression was used to model the relationship between diabetes and obesity.The results from SPSS are shown below.     What is value of the obesity rate when the diabetes rate is 14%?

Accepted Answer

A) 20.4 
B) 32 
C) It cannot be determined from the given information. 
D) None of the above

Question 14

The data referred to in this question were collected on 41 employees of a large company.The company is trying to predict the current salary of its employees from their starting salary (both expressed in thousands of dollars).The SPPS regression output is given below as well as some summary measures:     What is an approximate 95% confidence interval for the slope F1F1F1S1F1F1F101?

Accepted Answer

A) (-7.57,4.39) 
B) (-4.52,1.34) 
C) (1.80,2.41) 
D) (1.95,2.26)

Question 15

A random sample of 79 companies from the Forbes 500 list (which actually consists of nearly 800 companies)was selected,and the relationship between sales (in hundreds of thousands of dollars)and profits (in hundreds of thousands of dollars)was investigated by regression.The following results were obtained from statistical software.   The following (partial)ANOVA table was obtained from statistical software.  What is the value of the F statistic for testing the hypotheses H0: F1F1F1S1F1F1F101 = 0 versus Ha: F1F1F1S1F1F1F101 F1F1F1S1F1F1F10 0?

Accepted Answer

A) 1.96 
B) 77 
C) 150.97 
D) 217,328

Question 16

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied.      What is an approximate 95% confidence interval for the average percent of body fat for middle-aged people who weigh 180 pounds?

Accepted Answer

The answer of The following scatter plot and SPSS output...

Question 17

The data referred to in this question were collected on 41 employees of a large company.The company is trying to predict the current salary of its employees from their starting salary (both expressed in thousands of dollars).The SPSS regression output is given below as well as some summary measures:     John Doe works for this company.He started with a salary of $15,300.Predict his current salary with a 90% confidence interval.Express the interval in the appropriate units.

Accepted Answer

A) ($15,683;$45,537) 
B) ($18,204;$43,015) 
C) ($28,580;$32,640) 
D) ($31,516;$32,885)

Question 18

A study was conducted to monitor the emissions of a noxious substance from a chemical plant and the concentration of the chemical at a location in close proximity to the plant at various times throughout the year.A total of 14 measurements were made.Computer output for the simple linear regression least-squares fit is provided.(Some entries have been omitted and replaced with **. )  The degrees of freedom for SSM and SSE are,respectively,

Accepted Answer

A) DFM = 2 and DFE = 12. 
B) DFM = 1 and DFE = 12. 
C) DFM = 1 and DFE = 13. 
D) DFM = 1 and DFE = 14. 
E) DFM = 12 and DFE = 13.

Question 19

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied.      What is the equation of the least-squares regression line?

Accepted Answer

The answer of The following scatter plot and SPSS output...

Question 20

The statistical model for simple linear regression is written as  ,where  represents the mean of a Normally distributed response variable and x represents the explanatory variable.The parameters  and  are estimated,giving the linear regression model defined by  ,with standard deviation F1F1F1S1F1F1F10 = 5. What is the y-intercept for the regression line?

Accepted Answer

A) 10 
B) 70 
C) 80 
D) 60

Exam 10: Inference for Regression

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the value of the estimate for ,the standard deviation of the deviations _i?

Suppose we are given the following information: Sample size,n,= 100 Standard error of slope of the regression line, = 2 = 100 + 4x What is the P-value for a test of the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?

The statistical model for simple linear regression has the form ,i = 1,2,…,n.Which of the following statements about this statistical model is/are TRUE?

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is an approximate 95% confidence interval for the average percent of body fat for middle-aged people who weigh 180 pounds?

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the equation of the least-squares regression line?

Exam 10: Inference for Regression

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the value of the estimate for ,the standard deviation of the deviations i?

Suppose we are given the following information: Sample size,n,= 100 Standard error of slope of the regression line, = 2 = 100 + 4x What is the P-value for a test of the null hypothesis that the slope is zero versus the alternative hypothesis that the slope is not zero?

The statistical model for simple linear regression has the form ,i = 1,2,…,n.Which of the following statements about this statistical model is/are TRUE?

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is an approximate 95% confidence interval for the average percent of body fat for middle-aged people who weigh 180 pounds?

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the equation of the least-squares regression line?

The following scatter plot and SPSS output represent data collected on 89 middle-aged people.The relationship between body weight and percent body fat is to be studied. What is the value of the estimate for ,the standard deviation of the deviations _i?