Exam 11: Simple Regression

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. -Which value of the following values of coefficients of correlation indicates a stronger correlation than 0.50?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The manager of a used-car dealership is very interested in the resale price of used cars.The manager feels that the age of the car is important in determining the resale value.He collects data on the age and resale value of 15 cars and runs a regression analysis with the value of the car (in thousands of dollars)as the dependent variable and the age of the car (in years)as the independent variable.Unfortunately,the printout had lost some of the results,identified by"A" through"F".The partial results left are displayed below. -What is the value of "C"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The manager of a used-car dealership is very interested in the resale price of used cars.The manager feels that the age of the car is important in determining the resale value.He collects data on the age and resale value of 15 cars and runs a regression analysis with the value of the car (in thousands of dollars)as the dependent variable and the age of the car (in years)as the independent variable.Unfortunately,the printout had lost some of the results,identified by"A" through"F".The partial results left are displayed below. -Calculate the value of "E."

The value of the F-test statistic is:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors. -How would you interpret the coefficient of determination?

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. -Compute the regression sum of squares,SSR.

What would be the dollar value of an accident involving a 25-year-old driver?

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. -Compute the coefficient of determination.

A regression analysis between sales (in $1000)and advertising (in $)resulted in the following least squares line: = 80,000 + 4x.This implies that:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,250 adults were asked about their monthly expenditures (in dollars)on the lottery.In addition,data were collected about the number of years of education they had.A simple regression was run,and the following results were obtained: b₀ = 35.6,b₁ = -2.37,s = 18.9,and s = 1.28. -How would you interpret the slope coefficient b₁?

The divisor of the standard error of estimate in a simple linear regression is n - 2.

The regression sum of squares (SSR)can never be greater than the error sum of squares (SSE).

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You want to explore the relationship between the grades students receive on their first quiz (x)and their first exam (y).The first quiz and test scores for a sample of eight students reveal the following summary statistics: -The sample correlation coefficient is:

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. -Which of the following is true of the least squares equation, = 20 + 5x?

What is the predicted value of y when x = 5?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a regression analysis are listed below but,unfortunately,some values as identified by asterisks are missing. SUMMARY OUTPUT -Calculate the coefficient of determination.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The data below are for the number of unemployed persons (in millions)and the federal unemployment insurance payments (in billions of dollars)for the years 1978-1985.Some economists state that these two variables are positively related. -Develop a scatter diagram for these data.

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. -Determine the intercept of the sample regression line.

Calculate the standard error of the estimate.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are interested in exploring the relationship between the income of professors (measured in thousands of dollars)and the number of years they have been employed by the university.You collect the following data from eight professors. -How would you interpret the slope coefficient b₁?