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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
icon
Related questions
Question
100%

ONLY need for Part D, E, F, Thank you!

(a) Fit the multiple regression model to these data.
(b) Interpret the meaning of the slopes bl and b2 in this problem.
(c) Predict the electric power consumption with x1 = 62, x2 = 22, x3 = 88 and x4 = 106
(d) At the 0.05 level of significance, determine whether X1 and X2 make a contribution to the
regression model respectively.
(e) Interpret the meaning of the coefficient of multiple determination.
(f) Compute the adjusted r².
Transcribed Image Text:(a) Fit the multiple regression model to these data. (b) Interpret the meaning of the slopes bl and b2 in this problem. (c) Predict the electric power consumption with x1 = 62, x2 = 22, x3 = 88 and x4 = 106 (d) At the 0.05 level of significance, determine whether X1 and X2 make a contribution to the regression model respectively. (e) Interpret the meaning of the coefficient of multiple determination. (f) Compute the adjusted r².
QI)
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:
y
х1
x2
x3
x4
240
25
24
91
100
236
31
21
90
95
270
45
24
8
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
Here is the Excel output from performing the regression analysis:
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.923065476
0.852049873
Standard Error
11.78657744
Observations
12
Coefficients Standard Error
t Stat
P-value
Upper 95% Lower 95.0% Upper 95.0%
Lower 95%
Intercept
-123.1312463
157.2560575 -0.78299843
x1
0.757289089
0.279089778 2.71342467
x2
7.518783955
4.010121419
1.8749517
x3
2.483078555
1.809385602 1.37233244
x4
-0.481135232
0.55517418 -0.86663834
Transcribed Image Text:QI) 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: y х1 x2 x3 x4 240 25 24 91 100 236 31 21 90 95 270 45 24 8 110 274 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 Here is the Excel output from performing the regression analysis: Regression Statistics Multiple R R Square Adjusted R Square 0.923065476 0.852049873 Standard Error 11.78657744 Observations 12 Coefficients Standard Error t Stat P-value Upper 95% Lower 95.0% Upper 95.0% Lower 95% Intercept -123.1312463 157.2560575 -0.78299843 x1 0.757289089 0.279089778 2.71342467 x2 7.518783955 4.010121419 1.8749517 x3 2.483078555 1.809385602 1.37233244 x4 -0.481135232 0.55517418 -0.86663834
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt