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Find the regression coefficient of y on x for the following data:

∑x=60, ∑y=105, ∑x2=800, ∑y2=2000, ∑xy=1200 and n=10.

Asked by sspadmavithal 28th February 2018, 12:26 PM
Answered by Expert
Answer:
begin mathsize 16px style straight b subscript yx equals fraction numerator begin display style sum for straight n of end style xy minus open parentheses begin display style fraction numerator begin display style stack sum straight x space with straight n below end style space begin display style stack sum straight y with straight n below end style over denominator straight n end fraction end style close parentheses over denominator sum for straight n of straight x squared minus begin display style open parentheses begin display style stack sum straight x with straight n below end style close parentheses squared over straight n end style end fraction
equals fraction numerator begin display style 1200 minus open parentheses fraction numerator begin display style 60 cross times 105 end style over denominator 10 end fraction close parentheses end style over denominator 800 minus begin display style open parentheses begin display style 60 end style close parentheses squared over 10 end style end fraction
equals fraction numerator 1200 minus 630 over denominator 800 minus 360 end fraction
equals 570 over 440
equals 1.29 end style
Answered by Expert 28th February 2018, 6:25 PM
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