MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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5 6 7 8 6 7 8 5 6 7 8 Yards/Attempt Yards/Attempt Yards/Attempt 90 80 70 60 50 40 30 20 10 5 7 8 9 Yards/Attempt (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates no noticeable linear relationship between average number of passing yards per attempt and the percentage of games won by the team. The scatter diagram indicates a negative linear relationship between average number of passing yards per attempt and the percentage of games won by the team. The scatter diagram indicates a positive linear relationship between average number of passing yards per attempt and 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. (Round your numerical values to three decimal places.) (d) Provide an interpretation for the slope of the estimated regression equation. The slope gives the change in the average number of passes per attempt for every one percentage point increase in the percentage of games won. The slope gives the change in the percentage of games won for every one yard increase in the average number of passes per attempt. The slope gives the average number of passes per attempt when the percentage of games won is 0%. The slope gives the change in the average number of passes per attempt for every one percentage point decrease in the percentage of games won. The slope gives the percentage of games won when the average number of passes per attempt is 0. Win % O O O
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Transcribed Image Text:5 6 7 8 6 7 8 5 6 7 8 Yards/Attempt Yards/Attempt Yards/Attempt 90 80 70 60 50 40 30 20 10 5 7 8 9 Yards/Attempt (b) What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? The scatter diagram indicates no noticeable linear relationship between average number of passing yards per attempt and the percentage of games won by the team. The scatter diagram indicates a negative linear relationship between average number of passing yards per attempt and the percentage of games won by the team. The scatter diagram indicates a positive linear relationship between average number of passing yards per attempt and 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. (Round your numerical values to three decimal places.) (d) Provide an interpretation for the slope of the estimated regression equation. The slope gives the change in the average number of passes per attempt for every one percentage point increase in the percentage of games won. The slope gives the change in the percentage of games won for every one yard increase in the average number of passes per attempt. The slope gives the average number of passes per attempt when the percentage of games won is 0%. The slope gives the change in the average number of passes per attempt for every one percentage point decrease in the percentage of games won. The slope gives the percentage of games won when the average number of passes per attempt is 0. Win % O O O
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 (Yards/Attempt) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season.t Team Yards/Attempt WinPct Arizona Cardinals 6.5 50 Atlanta Falcons 7.1 63 Carolina Panthers 7.4 38 Chicago Bears 6.4 50 Dallas Cowboys 7.4 50 New England Patriots 8.3 81 Philadelphia Eagles 7.4 50 Seattle Seahawks 6.1 44 St. Louis Rams 5.2 13 Tampa Bay Buccaneers 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. 90 90 90 80 80 80 70 70 70 60 60 60 50 50 50 40 40 40 30 30 30 20 20 20 10 10 10 7 8 9. 5 7 8 5 7 8 9. Yards/Attempt Yards/Attempt Yards/Attempt % UIM % UIM
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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 (Yards/Attempt) and the percentage of games won (WinPct) for a random sample of 10 NFL teams for the 2011 season.t Team Yards/Attempt WinPct Arizona Cardinals 6.5 50 Atlanta Falcons 7.1 63 Carolina Panthers 7.4 38 Chicago Bears 6.4 50 Dallas Cowboys 7.4 50 New England Patriots 8.3 81 Philadelphia Eagles 7.4 50 Seattle Seahawks 6.1 44 St. Louis Rams 5.2 13 Tampa Bay Buccaneers 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. 90 90 90 80 80 80 70 70 70 60 60 60 50 50 50 40 40 40 30 30 30 20 20 20 10 10 10 7 8 9. 5 7 8 5 7 8 9. Yards/Attempt Yards/Attempt Yards/Attempt % UIM % UIM
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