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b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between = average number of passing yards per attempt and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. Enter negative value as negative numbe WinPct= * +( ) (Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). The slope of the estimated regression line is approximately . So, for every increase team increases by %. ✔ of one yard in the average number of passes per attempt, the percentage of games w

b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between = average number of passing yards per attempt and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. Enter negative value as negative numbe WinPct= * +( ) (Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). The slope of the estimated regression line is approximately . So, for every increase team increases by %. ✔ of one yard in the average number of passes per attempt, the percentage of games w

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Arizona Cardinals Atlanta Falcons Carolina Panthers Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks St. Louis Rams Tampa Bay Buccaneers a. Choose the correct 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. A. WinPct 80- 70+ 60- 50- 30 C. WinPct 80- 70- -60- 50- 40- -30- 20- 6 Yds/Att 7 Yds/Att 8 9 B. Win Pct 80 70- 60- 50+ 40- 30- D. WinPct 80- 70+ 60- 50- 40- 30- 20- 6 Yds/Att 7 Yds/Att 8 9 Yds/Att 7.5 6.8 7.5 6.1 5.3 5.7 6.6 6.1 6.4 5.0 WinPct 79 60 69 43 38 42 56 43 48 24
Transcribed Image Text:The National Football League (NFL) records a variety of performance data for individuals and teams. To investigate the importance of passing on the percentage of games won by a team, the following data show the average number of passing yards per attempt (Yds/Att) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season (NFL website). Team Arizona Cardinals Atlanta Falcons Carolina Panthers Chicago Bears Dallas Cowboys New England Patriots Philadelphia Eagles Seattle Seahawks St. Louis Rams Tampa Bay Buccaneers a. Choose the correct 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. A. WinPct 80- 70+ 60- 50- 30 C. WinPct 80- 70- -60- 50- 40- -30- 20- 6 Yds/Att 7 Yds/Att 8 9 B. Win Pct 80 70- 60- 50+ 40- 30- D. WinPct 80- 70+ 60- 50- 40- 30- 20- 6 Yds/Att 7 Yds/Att 8 9 Yds/Att 7.5 6.8 7.5 6.1 5.3 5.7 6.6 6.1 6.4 5.0 WinPct 79 60 69 43 38 42 56 43 48 24
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between x = average number of passing yards per attempt and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. Enter negative value as negative number. WinPct = * +( ) (Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). So, for every increase The slope of the estimated regression line is approximately team increases by *%. ✔ of one yard in the average number of passes per attempt, the percentage of games won by the e. For the 2011 season, the average number of passing yards per attempt for the Kansas City Chiefs was was 6.5. 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 wins and 9 losses.) % (to 2 decimals) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs. Considering the small data size, the prediction made using the estimated regression equation is not too bad
Transcribed Image Text:b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates a positive linear relationship between x = average number of passing yards per attempt and y = the percentage of games won by the team. c. Develop the estimated regression equation that could be used to predict the percentage of games won given the average number of passing yards per attempt. Enter negative value as negative number. WinPct = * +( ) (Yds/Att) (to 4 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). So, for every increase The slope of the estimated regression line is approximately team increases by *%. ✔ of one yard in the average number of passes per attempt, the percentage of games won by the e. For the 2011 season, the average number of passing yards per attempt for the Kansas City Chiefs was was 6.5. 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 wins and 9 losses.) % (to 2 decimals) Compare your prediction to the actual percentage of games won by the Kansas City Chiefs. Considering the small data size, the prediction made using the estimated regression equation is not too bad
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