See the table for data on the ratings of quarterbacks for the 2008 National Football League season (The Sports Network).  Assuming that a simple linear regression model is appropriate, fit the regression model relating the rating (y) to the average number of yards gained per pass attempt (x). Round your answers to two decimal places (e.g. 98.76).   Yards per attempt 8.39 7.67 7.66 7.98 7.21 7.53

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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See the table for data on the ratings of quarterbacks for the 2008 National Football League season (The Sports Network). 
Assuming that a simple linear regression model is appropriate, fit the regression model relating the rating (y) to the average number of yards gained per pass attempt (x).

Round your answers to two decimal places (e.g. 98.76).
 
Yards per attempt 8.39 7.67 7.66 7.98 7.21 7.53 8.01 7.66 7.21 7.16 7.93 7.10 6.33 6.76 6.86 7.35 7.22 7.94 6.41 6.77 6.65 6.94 6.45 7.04 6.39 6.58 6.21 7.17 6.34 6.18 5.12 5.71
Rating points 105.5 97.4 96.9 96.2 95 93.8 92.7 91.4 90.2 89.4 87.7 87.5 87 86.4 86.4 86 85.4 84.7 84.3 81.7 81 80.3 80.2 80.1 79.6 77.1 76 73.7 72.6 71.4 70 66.5

(c) Find a 95% confidence interval for the mean rating when the average yards per attempt is 8.0.

(a) Find a 95% confidence interval for the slope.
< B1 < 12.722
7.462
(b) Find a 95% confidence interval for the intercept.
< Bo s 32.696
-4.305
(c) Find a 95% confidence interval for the mean rating when the average yards per attempt is 8.0.
i
91.689
98.169
Transcribed Image Text:(a) Find a 95% confidence interval for the slope. < B1 < 12.722 7.462 (b) Find a 95% confidence interval for the intercept. < Bo s 32.696 -4.305 (c) Find a 95% confidence interval for the mean rating when the average yards per attempt is 8.0. i 91.689 98.169
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