In: Statistics and Probability
| 
 Year  | 
 Quarter  | 
 Profit ($1000s)  | 
| 
 1  | 
 1  | 
 45  | 
| 
 1  | 
 2  | 
 51  | 
| 
 1  | 
 3  | 
 72  | 
| 
 1  | 
 4  | 
 50  | 
| 
 2  | 
 1  | 
 49  | 
| 
 2  | 
 2  | 
 45  | 
| 
 2  | 
 3  | 
 79  | 
| 
 2  | 
 4  | 
 54  | 
| 
 3  | 
 1  | 
 42  | 
| 
 3  | 
 2  | 
 58  | 
| 
 3  | 
 3  | 
 70  | 
| 
 3  | 
 4  | 
 56  | 
a. Use α = 0.3 to compute the exponential smoothing values for the time series. Compute MSE and the forecast of profit (in $1000s) for the next quarter.
b. Compare the three-period moving average forecast with the exponential smoothing forecast using α = 0.3. Which appears to provide the better forecast based on MSE?
Answer:-
Given That:-
a. Use α = 0.3 to compute the exponential smoothing values for the time series. Compute MSE and the forecast of profit (in $1000s) for the next quarter.
Use α = 0.3 to compute the exponential smoothing values for the time series.


b. Compare the three-period moving average forecast with the exponential smoothing forecast using α = 0.3. Which appears to provide the better forecast based on MSE?
Compare the three-period moving average forecast with the exponential smoothing forecast using α = 0.3.

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