Question

if sigma xi=100, sigma yi=140, sigma(xi-10) (yi-15) = 60 and n= 10, find the covariance between x and y.​

Answer 1

Question:

If n=10,∑x=50,∑y=−30,∑x^2=290,∑y^2=300,∑xy=−115, then find the coefficient of correlation

Answer:

Given that: n=10

∑x=50,∑y=−30

∑x

2

=290,∑y

2

=300,

∑xy=−115

Formula :

= n∑xy-∑x.∑y/✓n∑x^2-(∑x)^2.✓n.∑y^2-(∑y)^2

r=[10*(-115)]-[50*(-30)] / ✓10*290-(50)^2.✓10*300-(-30)^2

= -1150+1500/✓2900−2500.✓3000−900

=350/✓400.✓2100

=350/20*10✓21

= 7/4✓21

=0.381

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