The data given below 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 expected points. r = X y 5.454 5.184 25 4.702 35 3.716 45 2.612 55 2.878 65 1.778 75 0.994 85 0.792 95 -0.642 555 a) Use Desmos (watch Video if you need help) to find the equation of the least squares (regression) line. to find the coefficient of correlation. (Round to 4 decimal places as needed.) Y 15 Does there appear to be a linear correlation? O No, there is no linear correlation between the data points because r is not equal to 0. Yes, the data points show linear correlation because r is close to -1. Yes, the data points show linear correlation because r is close to 1. O No, there is no linear correlation between the data points because r is negative. b) The equation of the least squares line is (Round to 2 decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The data given below 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 expected points.
r =
X
y
5.454
5.184
25 4.702
35 3.716
45 2.612
55 2.878
65 1.778
75
0.994
85
0.792
95
-0.642
555
a) Use Desmos (watch Video if you need help) to find the equation of the least squares
(regression) line. to find the coefficient of correlation.
(Round to 4 decimal places as needed.)
Y
15
Does there appear to be a linear correlation?
O No, there is no linear correlation between the data points because r is not equal to
0.
Yes, the data points show linear correlation because r is close to -1.
Yes, the data points show linear correlation because r is close to 1.
O No, there is no linear correlation between the data points because r is negative.
b) The equation of the least squares line is
(Round to 2 decimal places as needed.)
Transcribed Image Text:The data given below 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 expected points. r = X y 5.454 5.184 25 4.702 35 3.716 45 2.612 55 2.878 65 1.778 75 0.994 85 0.792 95 -0.642 555 a) Use Desmos (watch Video if you need help) to find the equation of the least squares (regression) line. to find the coefficient of correlation. (Round to 4 decimal places as needed.) Y 15 Does there appear to be a linear correlation? O No, there is no linear correlation between the data points because r is not equal to 0. Yes, the data points show linear correlation because r is close to -1. Yes, the data points show linear correlation because r is close to 1. O No, there is no linear correlation between the data points because r is negative. b) The equation of the least squares line is (Round to 2 decimal places as needed.)
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