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呰MindTap . Cengage L e The National Footbal 呰 xCengage | Cengage Cengage Digital Lear Cengage xCengage x ← → С 슬 https://ng.cengage.com/static/nb/ui/evo/index.html?eISBN-9781 337115377&id=486629139&snapshot!d=1178740& 。 a Search this course CENGAGE MINDTAP Danielev Chapter 14 Homework 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 (Win96) for a random sample or 10 NFL teams. Team Yds/Att Win96 Team 1 5.9 go- 25 Team 2 8.4 58 Team 3 8.2 63 Team 4 5.8 17 Team S 7.4 43 Team 6 6.4 Team 7 7.4 50 Team 8 7.1 43 Team 9 8.5 63 6.1 Team 10 29 a. Choose the correct a scatter diagram for these data A. Win% Win% 80 70 70 50 50 A-Z 10
呰MindTap . Cengage L e The National Footbal 呰 × | -,: Cengage xCengage Cengage Digital Lear Cengage xCengage x ← → С 슬 https://ng.cengage.com/static/nb/ui/evo/index.html?eISBN-9781 337115377&id=486629139&snapshot!d=1178740& ら:CENGAGE I MINDTAP Search this course Daniele Chapter 14 Homework Yds Att Yds Att C. D. Win% W'in% go- 50 10 10 Yds/Att Yds/Att 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 U = 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 Win% = (Yds/Att) (to 2 decimals) d. Provide an interpretation for the slope of the estimated regression equation (to 1 decimal). A-Z So, for every Select your answer- of one yard in the average number of passes per attempt, the percentage of games won The slope of the estimated regression line is approximately by the team increases by e. The average number of passing yards per attempt for the other Team was 7.1. Use the estimated regression equation developed in part (c) to predict the percentage of games won by the team. % (to 2 decimals)
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(a) SCATTER DIAGRAM:

The correct scatter plot is Option (B):

Scatter Plot 70 60 晶50 40 , 30 20 10 10 Yars per attempt

(b) INTERPRETATION OF SCATTER PLOT:

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) SIMPLE LINEAR REGRESSION EQUATION:

I have used R code to build simple linear regression model to the given data.

> #SIMPLE LINEAR REGRESSION MODEL Mode1-1m (Win-Yards per attempt, data data) summary (Model) > > Call: lm (formula Win Yards

The estimated simple linear regression equation is given by,

(15.34 * 2) yhatー-66.82

hat is the predicted dependent variable "Win percentage".

\beta _{0}=-66.82 is the intercept

31 = 15.34 is the slope coefficient of independent variable "Yards per attempt"

x is the independent variable "Yards per attempt".

(d) INTERPRETATION OF SLOPE OF ESTIMATED REGRESSION EQUATION:

The slope of the estimated regression equation is approximately 31 = 15.34 . So, for every increase of one yard in the average number of passes per attempt, the percentage of games won by the team increases by 15.34%.

(e) PREDICTED PERCENTAGE OF GAMES WON BY THE TEAM:

The estimated simple linear regression equation is given by,

(15.34 * 2) yhatー-66.82

If the average number of passing yard per attempt for the other team was 7, the predicted percentage of games won by the team is,

(15.34 * 2) yhatー-66.82

66.82(15.34 7.1)

=-66.82+108.914

What 42.09

If the average number of passing yard per attempt for the other team was 7, the predicted percentage of games won by the team is 42.09%.

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