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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Question 15
y =
Annual high temperatures in a certain location have been tracked for several years. Let X represent the
year and Y the high temperature. Based on the data shown below, calculate the regression line (each value
to two decimal places).
Sunny
@
2
W
S
X
X
3
4
5
6
7
8
y
28.41
26.54
24.27
22.9
25.23
#
23.46
9
23.19
10 20.92
11
18.65
12 21.38
13 20.01
17.54
15
16.07
16 14.8
Question Help: Video Message instructor
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34
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Transcribed Image Text:1 7 Q A Z Question 15 y = Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). Sunny @ 2 W S X X 3 4 5 6 7 8 y 28.41 26.54 24.27 22.9 25.23 # 23.46 9 23.19 10 20.92 11 18.65 12 21.38 13 20.01 17.54 15 16.07 16 14.8 Question Help: Video Message instructor 14 3 34 Submit Question Jump to Answer E < Y D > 114 101 $ R X+ F JL % 5 H LA C T 6 [G] B Q Search 4- & 7 ساك N CH * 8 J hp fo M ( 9 K ho < 411 1 O L alt - { + [ = 46 ? 1 G0/2 F prt sc } ] bar paus
Expert Solution
Step 1

Given:

Total number of samples(n)=14

x y
3 28.41
4 26.54
5 24.27
6 22.9
7 25.23
8 23.46
9 23.19
10 20.92
11 18.65
12 21.38
13 20.01
14 17.54
15 16.07
16 14.8

We have to find the regression line for the above.

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