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6. Observed and predicted values of a variable Y based on a sample of size n 9 and a forecasting model are given below. Compute sample mean, sample variance for Y. compute MSE and MAD for residuals. (Use Chapter 1 Notes) Y 10.2 15 1 18.3 19.420.124 79.5 15.5 15 16 17.7 18202221 16.1 15.317

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Answer #1

2 x913 95130148 1 2018 1 3 2 2 2 123456789×n

from above sample mean =17.267

and sample variance =14.920

Y Yhat |Y-Yhat| (Y-Yhat)^2
10.200 9.5 0.7 0.49
15.000 15.5 0.5 0.25
16.100 15 1.1 1.21
15.300 16 0.7 0.49
17.000 17.7 0.7 0.49
18.300 18 0.3 0.09
19.400 20 0.6 0.36
20.100 22 1.9 3.61
24.000 21 3 9
average 1.0556 1.7767

from above MAD =1.0556

and MSE =1.7767

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