The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x 1, 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. If Y 240 236 290 274 301 316 300 296 267 276 288 261 X1 25 31 45 60 65 72 80 84 75 60 50 38 X2 24 21 24 25 25 26 25 25 24 25 25 23 X3 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 10 10 98 y=a +a₁x₁ + a₂x + a x₂ + ax 0 1 1 22 33 4 4 represents the regression model. What is the value of a ? Use 2 decimal 2 places.

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The electric power consumed each month by a chemical plant
is thought to be related to the average ambient temperature x 1,
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.
If
Y
240
236
290
274
301
316
300
296
267
276
288
261
X1
25
31
45
60
65
72
80
84
75
60
50
38
X2
24
21
24
25
25
26
25
25
24
25
25
23
X3
91
90
88
87
91
94
87
86
88
91
90
89
X4
100
95
110
88
94
99
97
96
110
10
10
98
y=a +a ₁x₁ + a₂x₂ + a₂x₁₂ + ax
33
represents the regression model.
What is the value of a? Use 2 decimal
places.
Transcribed Image Text:The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x 1, 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. If Y 240 236 290 274 301 316 300 296 267 276 288 261 X1 25 31 45 60 65 72 80 84 75 60 50 38 X2 24 21 24 25 25 26 25 25 24 25 25 23 X3 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 10 10 98 y=a +a ₁x₁ + a₂x₂ + a₂x₁₂ + ax 33 represents the regression model. What is the value of a? Use 2 decimal places.
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