a. Explanation Calculation: The data related to the average number of passing yards obtained per game on offense (OffPassYds/G), the average number of yards given up per game on defense (DefYds/G), and the precentage of games won (win%), for one full season. Multiple linear regression model: A multiple linear regression model is given as y ^ = b 0 + b 1 x 1 + ... + b p x p where y ^ is the predicted value of response or dependent variable, and x 1 , x 2 , ... , x p are the k predictor variables. The quantities b 1 , b 2 , ... , b p are the estimated slopes corresponding to x 1 , x 2 , ... , x p respectively and b 0 is the estimated intercept of the line, from the sample data b. To determine Perform F test to determine the overall significance of the relationship and draw conclusion at α = 0.05 level of significance. c. To determine Perform t test to determine the significance of each independent variable and draw conclusion at the 0.05 level of significance.

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Question

Chapter 15.5, Problem 24E

To determine

Obtain an estimated regression equation that can be used to predict the percentage of games won given the average number of passing yards obtained per game on offence and the average number of yards given up per game on defense.

To determine

Perform F test to determine the overall significance of the relationship and draw conclusion at α=0.05 level of significance.

To determine

Perform t test to determine the significance of each independent variable and draw conclusion at the 0.05 level of significance.

Expert Solution & Answer

Chapter 15 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Ch. 15.2 - The estimated regression equation for a model...Ch. 15.2 - Consider the following data for a dependent...Ch. 15.2 - In a regression analysis involving 30...Ch. 15.2 - A shoe store developed the following estimated...Ch. 15.2 - The owner of Showtime Movie Theaters, Inc., would...Ch. 15.2 - The National Football League (NFL) records a...Ch. 15.2 - PC Magazine provided ratings for several...Ch. 15.2 - The Cond Nast Traveler Gold List provides ratings...Ch. 15.2 - The Professional Golfers Association (PGA)...Ch. 15.2 - Prob. 10E

Ch. 15.3 - In exercise 1, the following estimated regression...Ch. 15.3 - Prob. 12E Ch. 15.3 - In exercise 3, the following estimated regression...Ch. 15.3 - In exercise 4, the following estimated regression...Ch. 15.3 - In exercise 5, the owner of Showtime Movie...Ch. 15.3 - In exercise 6, data were given on the average...Ch. 15.3 - Prob. 17E Ch. 15.3 - Refer to exercise 10, where Major League Baseball...Ch. 15.5 - In exercise 1, the following estimated regression...Ch. 15.5 - Refer to the data presented in exercise 2. The...Ch. 15.5 - The following estimated regression equation was...Ch. 15.5 - In exercise 4, the following estimated regression...Ch. 15.5 - Prob. 23E Ch. 15.5 - Prob. 24E Ch. 15.5 - The Cond Nast Traveler Gold List for 2012 provided...Ch. 15.5 - In exercise 10, data showing the values of several...Ch. 15.6 - In exercise 1, the following estimated regression...Ch. 15.6 - Refer to the data in exercise 2. The estimated...Ch. 15.6 - In exercise 5, the owner of Showtime Movie...Ch. 15.6 - In exercise 24, an estimated regression equation...Ch. 15.6 - The American Association of Individual Investors...Ch. 15.7 - Consider a regression study involving a dependent...Ch. 15.7 - Consider a regression study involving a dependent...Ch. 15.7 - Management proposed the following regression model...Ch. 15.7 - Refer to the Johnson Filtration problem introduced...Ch. 15.7 - This problem is an extension of the situation...Ch. 15.7 - The Consumer Reports Restaurant Customer...Ch. 15.7 - A 10-year study conducted by the American Heart...Ch. 15.8 - Data for two variables, x and y, follow. xi 1 2 3...Ch. 15.8 - Data for two variables, x and y, follow. xi 22 24...Ch. 15.8 - Exercise 5 gave the following data on weekly gross...Ch. 15.8 - The following data show the curb weight,...Ch. 15.8 - The Ladies Professional Golfers Association (LPGA)...Ch. 15.9 - Refer to the Simmons Stores example introduced in...Ch. 15.9 - In Table 15.12 we provided estimates of the...Ch. 15.9 - Community Bank would like to increase the number...Ch. 15.9 - Over the past few years the percentage of students...Ch. 15.9 - The Tire Rack maintains an independent consumer...Ch. 15 - The admissions officer for Clearwater College...Ch. 15 - The personnel director for Electronics Associates...Ch. 15 - A partial computer output from a regression...Ch. 15 - Recall that in exercise 49, the admissions officer...Ch. 15 - Recall that in exercise 50 the personnel director...Ch. 15 - The Tire Rack, Americas leading online distributor...Ch. 15 - The Department of Energy and the U.S....Ch. 15 - A portion of a data set containing information for...Ch. 15 - Fortune magazine publishes an annual list of the...Ch. 15 - Consumer Research, Inc., is an independent agency...Ch. 15 - Matt Kenseth won the 2012 Daytona 500, the most...Ch. 15 - Finding the Best Car Value When trying to decide...

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Obtain an estimated regression equation that can be used to predict the percentage of games won given the average number of passing yards obtained per game on offence and the average number of yards given up per game on defense.

Solution Summary: The author explains how to obtain an estimated regression equation that can predict the percentage of games won using the predictor variables.

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Obtain an estimated regression equation that can be used to predict the percentage of games won given the average number of passing yards obtained per game on offence and the average number of yards given up per game on defense.

Perform F test to determine the overall significance of the relationship and draw conclusion at α=0.05 level of significance.

Perform t test to determine the significance of each independent variable and draw conclusion at the 0.05 level of significance.

Chapter 15 Solutions