The data given is the expected points for a football team with first down and 10 yards to go from various points on the field. In the given table, x stands for the number of yards from the goal and y stands for the y 6.041 y 1.538 10. 55 15 4.572 65 0.923 0.236 - 0.637 - 1.245 = 33,250, y = 20.798, 25 3.721 75 expected points. (Note: x = Ey? = 92.661782, Exy = 404.21.) x 500, 35 3.167 85 45 2.482 95 a. Calculate the coefficient of correlation. Does there appear to be a linear correlation? b. Find the equation of the least squares line. c. Use the answer from part (b) to predict the expected points when a team is at the 50-yd line. a. The coefficient of correlation r is (Do not round until the final answer. Then round to three decimal places as needed.) Does there appear to be a linear correlation? A. No, there is no linear correlation between the data points. B. Yes, the data points show linear correlation. b. The equation of the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. When a team is at the 50-yd line, the expected points will be points. (Type an integer or decimal rounded to two decimal places as needed.)

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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partners. This explains the strange phenomenon observed in part (a).
The data given is the expected points for a football team with first down
and 10 yards to go from various points on the field. In the given table, x|
stands for the number of yards from the goal and y stands for the
y
y
6.041
10.
55
1.538
15
4.572
65
0.923
x= 500, x2 = 33,250, y = 20.798,
3.721
0.236
25
75
expected points. (Note:
- 0.637
- 1.245
35
3.167
85
xy = 404.21.)
45
2.482
95
a. Calculate the coefficient of correlation. Does there appear to be a linear correlation?
b. Find the equation of the least squares line.
c. Use the answer from part (b) to predict the expected points when a team is at the 50-yd line.
a. The coefficient of correlation r is
(Do not round until the final answer. Then round to three decimal places as needed.)
teb lo
Does there appear to be a linear correlation?
A. No, there is no linear correlation between the data points.
B. Yes, the data points show linear correlation.
b. The equation of the least squares line is Y =
(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
c. When a team is at the 50-yd line, the expected points will be
points.
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:partners. This explains the strange phenomenon observed in part (a). The data given is the expected points for a football team with first down and 10 yards to go from various points on the field. In the given table, x| stands for the number of yards from the goal and y stands for the y y 6.041 10. 55 1.538 15 4.572 65 0.923 x= 500, x2 = 33,250, y = 20.798, 3.721 0.236 25 75 expected points. (Note: - 0.637 - 1.245 35 3.167 85 xy = 404.21.) 45 2.482 95 a. Calculate the coefficient of correlation. Does there appear to be a linear correlation? b. Find the equation of the least squares line. c. Use the answer from part (b) to predict the expected points when a team is at the 50-yd line. a. The coefficient of correlation r is (Do not round until the final answer. Then round to three decimal places as needed.) teb lo Does there appear to be a linear correlation? A. No, there is no linear correlation between the data points. B. Yes, the data points show linear correlation. b. The equation of the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) c. When a team is at the 50-yd line, the expected points will be points. (Type an integer or decimal rounded to two decimal places as needed.)
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