Please.I need this ans.

Dear Student,

Calculation of Karl Pearson's coefficient of correlation
x dx= x - A (dx)2 y d​​​​​​= x - B (dy)2 dxdy
78 9 81 125 13 169 117
89 20 400 137 25 625 500
96 27 729 156 44 1936 1188
69=A 0 0 112=B 0 0 0
59 -10 100 107 -5 25 50
79 10 100 136 24 576 240
68 -1 1 123 11 121 -11
61 -8 64 108 -4 16 32
N=8 𝛴d= 47 𝛴(dx)= 1475 N=8 𝛴d= 108 𝛴(dy)= 3468 𝛴dxd= 2116

r = fraction numerator begin display style sum for blank of end style d subscript x d subscript y minus space begin display style fraction numerator open parentheses begin display style sum for blank of end style d subscript x close parentheses open parentheses begin display style sum for blank of end style d subscript y close parentheses over denominator N end fraction end style over denominator square root of begin display style sum for blank of end style d subscript x superscript 2 minus begin display style fraction numerator begin display style stack left parenthesis sum with blank below end style d subscript x right parenthesis squared over denominator N end fraction end style end root x square root of sum for blank of d subscript y superscript 2 minus fraction numerator begin display style stack left parenthesis sum with blank below d subscript y right parenthesis squared end style over denominator N end fraction end root end fraction = fraction numerator 2116 minus begin display style fraction numerator 47 x 108 over denominator 8 end fraction end style over denominator square root of 1475 minus begin display style open parentheses 47 close parentheses squared over 8 end style end root x square root of 3468 minus begin display style open parentheses 108 close parentheses squared over 8 end style end root end fraction

r = fraction numerator 1481.5 over denominator 34.62 x 44.83 end fraction

r = 0.955

Regards

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