Find the standard error of estimate, se, given that 00 F4 -
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![**Problem Statement:**
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the standard error of estimate, \( S_e \), given that:
\[ \hat{y} = 3.428x + 39.547 \]
**Data Table:**
| Miles Traveled, \( x \) | 6 | 3 | 12 | 2 | 7 | 5 | 11 | 13 | 9 |
|--------------------------|---|---|----|---|---|---|----|----|---|
| Sales, \( y \) | 62| 51| 79 | 44| 67| 54| 80 | 82 | 70|
**Summations:**
\[
\sum x = 68 ; \quad \sum y = 589
\]
\[
\sum x^2 = 638 ; \quad \sum y^2 = 40051
\]
\[
\sum xy = 4876
\]
**Options for Standard Error of Estimate, \( S_e \):**
A. \( S_e = 1.613 \)
B. \( S_e = 2.845 \)
C. \( S_e = 4.765 \)
D. \( S_e = 2.475 \)
E. \( S_e = 6.127 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa39be845-ae1d-44f6-957a-0c42c0fe4c23%2F8e341d90-608a-43a5-a5d2-d31ddfface8c%2F700ba9l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month. Find the standard error of estimate, \( S_e \), given that:
\[ \hat{y} = 3.428x + 39.547 \]
**Data Table:**
| Miles Traveled, \( x \) | 6 | 3 | 12 | 2 | 7 | 5 | 11 | 13 | 9 |
|--------------------------|---|---|----|---|---|---|----|----|---|
| Sales, \( y \) | 62| 51| 79 | 44| 67| 54| 80 | 82 | 70|
**Summations:**
\[
\sum x = 68 ; \quad \sum y = 589
\]
\[
\sum x^2 = 638 ; \quad \sum y^2 = 40051
\]
\[
\sum xy = 4876
\]
**Options for Standard Error of Estimate, \( S_e \):**
A. \( S_e = 1.613 \)
B. \( S_e = 2.845 \)
C. \( S_e = 4.765 \)
D. \( S_e = 2.475 \)
E. \( S_e = 6.127 \)
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