Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y =  x +  x y 5 32.05 6 30.34 7 31.53 8 28.92 9 28.41 10 26 11 25.19 12 24.28 13 24.37 14 23.36 15 23.65 16 21.44 17 21.33 18 20.02 19 19.21 20 16

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
Question

Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places).

y =  x + 

x y
5 32.05
6 30.34
7 31.53
8 28.92
9 28.41
10 26
11 25.19
12 24.28
13 24.37
14 23.36
15 23.65
16 21.44
17 21.33
18 20.02
19 19.21
20 16
Expert Solution
Step 1

We have given that 

X:   5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,         19, 20

Y:   32.05, 30.34, 31.53, 28.92, 28.41, 26, 25.19,         24.28, 24.37, 23.36, 23.65, 21.44, 21.33,       20.02, 19.21, 16

Then, 

We will find the value of regression line = ? 

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