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  3. 3 this problem is about fitting a model to hourly...

Question: 3 this problem is about fitting a model to hourly...

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3. This problem is about fitting a model to hourly temperature. You are given a set of temperature mcasurements taken hourly over one week (w for the hourly temperature is = 168). An expert says that over this week, an appropriate model yt = at + Pt, t=1,..,,N, where a is a scalar and are N numbers that satisfy Pt+24 for t-1,..., N-21 (i.c., the numbers pi repeat with the period of 24 hours so that P25 = Pi, P26 = P2, etc.). We can interpret a as the warning (a > 0) or cooling a< 0) trend over the week, and pt as the daily temperature oscillations Explain how to find a and Pt, t-1,...,N, such that the error vector gi has minimum length.

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