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On his way to fitness (Posted on 2015-06-15) Difficulty: 2 of 5
Johny, trying to reduce, followed a certain diet
during the month of April.
He recorded his weight daily at 8:00, naked, using the same balance.
Some of his entries are given below:

Apr 3...........102.6 kg
Apr 8...........101.1 kg
Apr 14.........99.4 kg
Apr 18.........98.7 kg
Apr 22.........98.0 kg
Apr 28..........97.6 kg

Please provide your estimate of his average April weight.

No Solution Yet Submitted by Ady TZIDON    
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Solution Statistical approach | Comment 2 of 10 |
8:00 was not given as AM or PM but I doubt there's much to be gained by considering hours over days.  Let's find out.

Fit a least squares line through the data:
weight = -.2052*day+102.7480

then the average is found by day 15.5
-2052*15.5+102.7480=99.5667 kg

We could fit this by hours (assuming AM)
where Apr 3 = 56 hours into the month, etc.
weight =-.00855*hour+102.6111
and then going 360 hours into the month gives
99.53246 kg




  Posted by Jer on 2015-06-15 12:51:48
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