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: 240 236 270 274 301 316 270 296 267 276 288 261 X1 25 31 45 60 65 72 80 84 75 60 50 38 X2 24 21 90 24 88 25 87 25 91 26 94 25 87 25 86 24 88 25 25 23 Fit a multiple linear regression to predict power (y) using x₁, x2. x3, and X4 Calculate R2 for this model. Round your answer to 3 decimal places. R²-i X3 91 91 90 89 100 95 110 88 94 99 97 96 110 105 100 98

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Transcription for Educational Website:**

---

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 (\(x_2\)), the average product purity (\(x_3\)), and the tons of product produced (\(x_4\)). The past year's historical data are available and are presented in the following table:

| \(y\) | \(x_1\) | \(x_2\) | \(x_3\) | \(x_4\) |
|------|------|------|------|------|
| 240  | 25   | 24   | 91   | 100  |
| 236  | 31   | 21   | 90   | 95   |
| 270  | 45   | 24   | 88   | 110  |
| 274  | 25   | 25   | 87   | 88   |
| 301  | 65   | 25   | 91   | 99   |
| 316  | 72   | 25   | 94   | 99   |
| 270  | 28   | 25   | 87   | 97   |
| 296  | 32   | 25   | 88   | 97   |
| 267  | 75   | 24   | 96   | 110  |
| 276  | 60   | 25   | 91   | 105  |
| 265  | 25   | 25   | 89   | 100  |
| 288  | 51   | 23   | 95   | 101  |
| 261  | 38   | 23   | 89   | 98   |

Fit a multiple linear regression to predict power (\(y\)) using \(x_1\), \(x_2\), \(x_3\), and \(x_4\).

Calculate \(R^2\) for this model. Round your answer to 3 decimal places.

\(R^2 =\) [Input Box]

---
Transcribed Image Text:**Transcription for Educational Website:** --- 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 (\(x_2\)), the average product purity (\(x_3\)), and the tons of product produced (\(x_4\)). The past year's historical data are available and are presented in the following table: | \(y\) | \(x_1\) | \(x_2\) | \(x_3\) | \(x_4\) | |------|------|------|------|------| | 240 | 25 | 24 | 91 | 100 | | 236 | 31 | 21 | 90 | 95 | | 270 | 45 | 24 | 88 | 110 | | 274 | 25 | 25 | 87 | 88 | | 301 | 65 | 25 | 91 | 99 | | 316 | 72 | 25 | 94 | 99 | | 270 | 28 | 25 | 87 | 97 | | 296 | 32 | 25 | 88 | 97 | | 267 | 75 | 24 | 96 | 110 | | 276 | 60 | 25 | 91 | 105 | | 265 | 25 | 25 | 89 | 100 | | 288 | 51 | 23 | 95 | 101 | | 261 | 38 | 23 | 89 | 98 | Fit a multiple linear regression to predict power (\(y\)) using \(x_1\), \(x_2\), \(x_3\), and \(x_4\). Calculate \(R^2\) for this model. Round your answer to 3 decimal places. \(R^2 =\) [Input Box] ---
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman