The leastsquares propertyofthemeanstatesthatthedatafallcloserto y than toany other number c, inthesensethat i (yi y)2
Question:
The leastsquares propertyofthemeanstatesthatthedatafallcloserto ¯y than toany other number
c, inthesensethat
Σ
i
(yi − ¯y)2 <Σ
i
(yi − c)2.
Provethispropertybytreating f
(c) = Σi(yi − c)2 as afunctionof c and derivingthe valueof c that minimizesit.
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Related Book For
Foundations Of Statistics For Data Scientists With R And Python
ISBN: 9780367748456
1st Edition
Authors: Alan Agresti
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