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Question
From the following data, N = 11, ∑X = 117, ∑Y = 260, ∑X2 = 1313, ∑Y2 = 6580, ∑XY = 2827 the correlation coefficient is
Options
0.3566
– 0.3566
0
0.4566
Solution
0.3566
Explanation:
r = `("N"sum"XY" - sum"X"sum"Y")/(sqrt("N"sum"X"^2 - (sum"X")^2) sqrt("N"sum"Y"^2 - (sum"Y")^2))`
= `(11 xx 2827 - 117 xx 260)/(sqrt (11 xx 1313 - (117)^2) sqrt (11 xx 6580 - (260)^2))`
= `(31097 xx 30420)/(sqrt(14443 - 13689) sqrt (72380 - 67600))`
= `677/(sqrt 754 sqrt 4780)`
= `677/sqrt3604120`
= `677/1898.45`
= 0.3566
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