Consider the following time series data: Week 3 4 5 6 2. 1.

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Consider the following time series data:
Week
3 4 5 6
2.
1.
Transcribed Image Text:Consider the following time series data: Week 3 4 5 6 2. 1.
Expert Solution
Step 1

(a). Using the naïve method as the forecast for the next week compute mean absolute error MAE:

Given data represents the observed values of time series data for the weeks 1 through 6.

Naïve approach:

The forecast values using Naïve approach are obtained in the table given below:

Statistics homework question answer, step 1, image 1

MAD:

The MAD (mean absolute deviation) for Naïve approach is obtained as given below:

Statistics homework question answer, step 1, image 2

Thus, the mean absolute error is 4.4.

Step 2

(b). Using the naïve method as the forecast for the next week compute mean squared error MSE:

The forecast values using Naïve approach are obtained in the table given below:

Statistics homework question answer, step 2, image 1

MSE:

The MSE (mean square error) for Naïve approach is obtained as given below:

Statistics homework question answer, step 2, image 2

Thus, the mean squared error is 20.8.

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