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
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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**.
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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