Given forecast errors of -5, -10, and +15, the MSE is: O 116.67 O 900 0 O 175 350
Given forecast errors of -5, -10, and +15, the MSE is: O 116.67 O 900 0 O 175 350
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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![**Problem Statement:**
Given forecast errors of -5, -10, and +15, the Mean Squared Error (MSE) is:
**Options:**
- 116.67
- 900
- 0
- 175
- 350
**Explanation:**
To calculate the Mean Squared Error (MSE), you follow these steps:
1. **Square each of the forecast errors:**
- \((-5)^2 = 25\)
- \((-10)^2 = 100\)
- \((+15)^2 = 225\)
2. **Calculate the average of these squared errors:**
\[
\text{MSE} = \frac{25 + 100 + 225}{3} = \frac{350}{3} = 116.67
\]
Thus, the correct answer is **116.67**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F128131ba-7a22-4a92-89b4-63fc12cc62d7%2Fb4e62f31-d4fb-4854-8db5-43a31dee546a%2Fx97m7n_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Given forecast errors of -5, -10, and +15, the Mean Squared Error (MSE) is:
**Options:**
- 116.67
- 900
- 0
- 175
- 350
**Explanation:**
To calculate the Mean Squared Error (MSE), you follow these steps:
1. **Square each of the forecast errors:**
- \((-5)^2 = 25\)
- \((-10)^2 = 100\)
- \((+15)^2 = 225\)
2. **Calculate the average of these squared errors:**
\[
\text{MSE} = \frac{25 + 100 + 225}{3} = \frac{350}{3} = 116.67
\]
Thus, the correct answer is **116.67**.
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