Team Yds/Att WinPct Arizona Cardinals 6.5 50 Atlanta Falcons 7.1 63 Carolina Panthers 7.4 38 Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks 6.4 50 7.4 50 8.3 81 7.4 50 6.1 44 St. Louis Rams Tampa Bay Buccaneers 5.2 13 6.2 25 a. Develop a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. Develop the estimated regression equation that could be used to predict the percent- age of games won given the average number of passing yards per attempt. d. Provide an interpretation for the slope of the estimated regression equation. e. For the 2011 season, the average number of passing yards per attempt for the Kan- sas City Chiefs was 6.2. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For the 2011 season the Kansas City Chiefs record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs.
Team Yds/Att WinPct Arizona Cardinals 6.5 50 Atlanta Falcons 7.1 63 Carolina Panthers 7.4 38 Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks 6.4 50 7.4 50 8.3 81 7.4 50 6.1 44 St. Louis Rams Tampa Bay Buccaneers 5.2 13 6.2 25 a. Develop a scatter diagram with the number of passing yards per attempt on the horizontal axis and the percentage of games won on the vertical axis. b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. Develop the estimated regression equation that could be used to predict the percent- age of games won given the average number of passing yards per attempt. d. Provide an interpretation for the slope of the estimated regression equation. e. For the 2011 season, the average number of passing yards per attempt for the Kan- sas City Chiefs was 6.2. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the Kansas City Chiefs. (Note: For the 2011 season the Kansas City Chiefs record was 7 wins and 9 losses.) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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