Draw a scatter diagram displaying the data. Verify the given sums and the value of the sample correlation coefficient: Find , , a and b. Then find the equation of the least-squares line = a + bx
Draw a scatter diagram displaying the data. Verify the given sums and the value of the sample correlation coefficient: Find , , a and b. Then find the equation of the least-squares line = a + bx
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Basketball: Fouls Data for this problem are based on information from STATS Basketball Scoreboard. It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls that were more than (i.e., over and above) the number of fouls made the opposing team made. Let y be the percentage of times the team with the larger number of fouls won the game.
x |
0 |
2 |
5 |
6 |
y |
50 |
45 |
33 |
26 |
- Draw a
scatter diagram displaying the data. - Verify the given sums and the value of the sample
correlation coefficient : - Find , , a and b. Then find the equation of the least-squares line = a + bx
- Graph the least-squares line on your scatter diagram. Be sure to use the point ( , ) as one of the points on the line.
- Interpretation Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?
- If a team had x=4 fouls over and above the opposing team, what does the least-squares equation forecast for y?
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