For the data of Exercise 12.5, estimateσ 2. Exercise 12.5: The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperaturex 1, the number of days in the monthx 2, the average product purityx 3, and the tons of product producedx 4. The past year’s historical data are available and are presented in the following table. Y x1 x2 x3 x4 240 25 24 91 100 236 31 21 90 95 290 45 24 88 110 274 60 25 87 88 301 65 25 91 94 316 72 26 94 99 300 80 25 87 97 296 84 25 86 96 267 75 24 88 110 276 60 25 91 105 288 50 25 90 100 261 38 23 89 98 (a) Fit a multiple linear regression model using the above data set.(b) Predict power consumption for a month in which x 1 = 75°F,x 2 = 24 days,x 3 = 90%, andx 4 = 98 tons.

For the data of Exercise 12.5, estimate σ 2 . Exercise 12.5: 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...

For the data of Exercise 12.5, estimateσ
₂.

Exercise 12.5: The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperaturex
₁, the number of days in the monthx
₂, the average product purityx
₃, and the tons of product producedx
₄. The past year’s historical data are available and are presented in the following table.

Y	x₁	x₂	x₃	x₄
240	25	24	91	100
236	31	21	90	95
290	45	24	88	110
274	60	25	87	88
301	65	25	91	94
316	72	26	94	99
300	80	25	87	97
296	84	25	86	96
267	75	24	88	110
276	60	25	91	105
288	50	25	90	100
261	38	23	89	98

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

(b) Predict power consumption for a month in which

x
₁ = 75°F,x
₂ = 24 days,x
₃ = 90%, andx
₄ = 98 tons.

May 25, 2022

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For the data of Exercise 12.5, estimate σ 2 . Exercise 12.5: 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...

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