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  3. time temperature [c] 12:00 am 15 1:00 am 16 .

Time Temperature [C] 12:00 AM 15 1:00 AM 16 ...

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Accounting

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Time Temperature [C]
12:00 AM 15
1:00 AM 16
2:00 AM 15
3:00 AM 15
4:00 AM 15
5:00 AM 14
6:00 AM 14
7:00 AM 13
8:00 AM 13
9:00 AM 14
10:00 AM 13
11:00 AM 14
12:00 PM 15
1:00 PM 16
2:00 PM 18
3:00 PM 20
4:00 PM 21
5:00 PM 21
6:00 PM 21
7:00 PM 20
8:00 PM 19
9:00 PM 17
10:00 PM 16
11:00 PM 15

You can download here the recorded temperatures in Montreal on June first 2010 in an excel table). Fit the data set using the model T=a, + ay sin 27t + a2 cos 2nt where T is the temperature in degree Celsius and t is the time of the temperature measurement in fraction of days (e.g. at 12PM (noon) t = 0.5). Use 16 digits in your calculations and give the answers with at least 5 significant digits ao = ai = a2 = The root mean square error RMSE is

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