The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity X3, and the tons of product produced X4. The past year's historical data are available and are presented in the following table.  (a) Fit a multiple linear regression model using the above data set (b) Predict power consumption for a month in which x1 = 75°F, x2 = 24 days, x3 = 90%, and x4 = 98 tons.

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The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity X3, and the tons of product produced X4. The past year's historical data are available and are presented in the following table. 

(a) Fit a multiple linear regression model using the above data set

(b) Predict power consumption for a month in which x1 = 75°F, x2 = 24 days, x3 = 90%, and x4 = 98 tons.

I4
24
240
236
290
274
301
316
300
296
267
276
25
31
45
60
65
72
80
84
21
24
25
25
26
25
25
24
25
91
90
88
87
91
94
87
86
88
91
100
95
110
88
94
99
97
96
110
105
75
60
288
261
50
25
23
90
89
100
98
38
Transcribed Image Text:I4 24 240 236 290 274 301 316 300 296 267 276 25 31 45 60 65 72 80 84 21 24 25 25 26 25 25 24 25 91 90 88 87 91 94 87 86 88 91 100 95 110 88 94 99 97 96 110 105 75 60 288 261 50 25 23 90 89 100 98 38
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