Calculate the Mean Squared Error for the following data: Actual 90 87 96 102 Forecast 89.3 89.2 93.3 90.7 (Keep two decimal places in your answer)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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**Calculate the Mean Squared Error for the following data:**

| Actual | Forecast |
|--------|----------|
| 90     | 89.3     |
| 87     | 89.2     |
| 96     | 93.3     |
| 102    | 90.7     |

*(Keep two decimal places in your answer)*

---

**Instructions:**

1. **Calculate the errors** for each data point by subtracting the forecast from the actual value.
2. **Square** each error to eliminate negative values and emphasize larger discrepancies.
3. **Calculate the mean** of these squared errors to get the Mean Squared Error (MSE).

This process helps evaluate the accuracy of a forecasting model by measuring how close the predicted values are to the actual values.
Transcribed Image Text:**Calculate the Mean Squared Error for the following data:** | Actual | Forecast | |--------|----------| | 90 | 89.3 | | 87 | 89.2 | | 96 | 93.3 | | 102 | 90.7 | *(Keep two decimal places in your answer)* --- **Instructions:** 1. **Calculate the errors** for each data point by subtracting the forecast from the actual value. 2. **Square** each error to eliminate negative values and emphasize larger discrepancies. 3. **Calculate the mean** of these squared errors to get the Mean Squared Error (MSE). This process helps evaluate the accuracy of a forecasting model by measuring how close the predicted values are to the actual values.
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