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 as a percent X3, and the tons of product produced x4. The past year's historical data are available and are presented in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the historical data. (a) Fit a multiple linear regression model using the data set. ŷ-(+)ׂ+() %₂+ ( ) %s + ( ) xx (Round the constant to two decimal places as needed. Round all other values to four decimal places as needed.) (b) Predict power consumption for a month in which x₁ = 76°F, x2 = 26 days, x3 = 92%, and x4 = 89 tons. The predicted power consumption is (Round to one decimal place as needed.) Historical data y x1 251 25 225 30 274 45 292 61 302 64 222222 X3 x4 23 92 101 20 90 94 25 87 109 26 87 89 26 92 95 307 71 26 93 100 293 79 25 86 97 286 85 286 75 289 60 281 50 264 39 22222 24 85 96 24 89 109 25 91 105 25 90 100 24 89 98

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
Question

Solve the attached question and give final answers please.The question and historical data is attached.

 

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 as a percent X3, and the tons of product produced x4. The past year's historical data are
available and are presented in the accompanying table. Complete parts (a) and (b) below.
Click the icon to view the historical data.
(a) Fit a multiple linear regression model using the data set.
ŷ-(+)ׂ+() %₂+ ( ) %s + ( ) xx
(Round the constant to two decimal places as needed. Round all other values to four decimal places as needed.)
(b) Predict power consumption for a month in which x₁ = 76°F, x2 = 26 days, x3 = 92%, and x4 = 89 tons.
The predicted power consumption is
(Round to one decimal place as needed.)
Transcribed Image Text: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 as a percent X3, and the tons of product produced x4. The past year's historical data are available and are presented in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the historical data. (a) Fit a multiple linear regression model using the data set. ŷ-(+)ׂ+() %₂+ ( ) %s + ( ) xx (Round the constant to two decimal places as needed. Round all other values to four decimal places as needed.) (b) Predict power consumption for a month in which x₁ = 76°F, x2 = 26 days, x3 = 92%, and x4 = 89 tons. The predicted power consumption is (Round to one decimal place as needed.)
Historical data
y
x1
251
25
225
30
274
45
292
61
302
64
222222
X3
x4
23
92
101
20
90
94
25
87
109
26
87
89
26
92
95
307
71
26
93
100
293
79
25
86
97
286
85
286
75
289
60
281
50
264
39
22222
24
85
96
24
89
109
25
91
105
25
90
100
24
89
98
Transcribed Image Text:Historical data y x1 251 25 225 30 274 45 292 61 302 64 222222 X3 x4 23 92 101 20 90 94 25 87 109 26 87 89 26 92 95 307 71 26 93 100 293 79 25 86 97 286 85 286 75 289 60 281 50 264 39 22222 24 85 96 24 89 109 25 91 105 25 90 100 24 89 98
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