32.    A power company located in southern Alabama wants to predict the peak power load (i.e., the maximum amount of power that must be generated each day to meet demand) as a function of the daily high temperature (X). A random sample of 25 summer days is chosen, and the peak power load and the high temperature are recorded each day. The file P13_32.xlsx contains these observations. (Note that the data from P13_32.xlsx is already provided in the template). a.    Create a scatterplot for these data. Comment on the observed relationship between Y and X. b.    Estimate an appropriate regression equation to predict the peak power load for this power |company. Interpret the estimated regression coefficients. c.    Analyze the estimated equation’s residuals. Do they suggest that the regression equation is adequate? If not, return to part b and revise your equation. Continue to revise the equation until the results are satisfactory. d.    Use your final equation to predict the peak power load on a summer day with a high temperature of 100 degrees.

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32.    A power company located in southern Alabama wants to predict the peak power load (i.e., the maximum amount of power that must be generated each day to meet demand) as a function of the daily high temperature (X). A random sample of 25 summer days is chosen, and the peak power load and the high temperature are recorded each day. The file P13_32.xlsx contains these observations. (Note that the data from P13_32.xlsx is already provided in the template).

a.    Create a scatterplot for these data. Comment on the observed relationship between Y and X.

b.    Estimate an appropriate regression equation to predict the peak power load for this power |company. Interpret the estimated regression coefficients.

c.    Analyze the estimated equation’s residuals. Do they suggest that the regression equation is adequate? If not, return to part b and revise your equation. Continue to revise the equation until the results are satisfactory.

d.    Use your final equation to predict the peak power load on a summer day with a high temperature of 100 degrees. 

A1
1 Day
1
23
45
4
6
7
8
9
10
11
12
23
13
14
15
16
17
2005-20
18
19
20
21
22
23
N N N N N 9
24
25
26
27
28
29
30
31
OHNG
A
olbe 32
234567
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
345
23
24
25
XV fx Day
B
Peak Load
118.5
136.0
143.6
153.2
140.7
151.9
135.1
178.2
101.6
96.5
103.9
113.4
106.2
111.4
116.5
96.3
150.1
105.1
114.7
189.3
131.7
100.9
92.5
132.0
116.4
-
C
Daily High Temperature
98
86
87
108
96
76
71
90
88
89
94
100
97
95
100
92
106
67
67
74
84
79
85
89
68
D
Transcribed Image Text:A1 1 Day 1 23 45 4 6 7 8 9 10 11 12 23 13 14 15 16 17 2005-20 18 19 20 21 22 23 N N N N N 9 24 25 26 27 28 29 30 31 OHNG A olbe 32 234567 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 345 23 24 25 XV fx Day B Peak Load 118.5 136.0 143.6 153.2 140.7 151.9 135.1 178.2 101.6 96.5 103.9 113.4 106.2 111.4 116.5 96.3 150.1 105.1 114.7 189.3 131.7 100.9 92.5 132.0 116.4 - C Daily High Temperature 98 86 87 108 96 76 71 90 88 89 94 100 97 95 100 92 106 67 67 74 84 79 85 89 68 D
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