13) Find the value of the linear correlation coefficient r. Managers rate employees according to job...

Question

Question

Answer 1

Answer #1

A)

S.No х (x-7) (4-7) 1 2 3 4 5 6 7 8 9 10 Total 72 67 78 82 75 87 92 83 87 78 801 y 59 63 65 69 58 77 76 69 70 64 670 65.6100 1

correlation r='Sxy/(√Sxx*Syy) =

0.863

B)

sample size n=	10
x̅ =	80.1000
y̅ =	67.0000
S_xx=	Σ(X_i-X̅)²=	520.900
S_xy =	Σ(X_i-X̅)(Y_i-Y̅)=	380.000
slope= β̂₁ =	S_xy/S_xx=	0.7295
intercept= β̂₀ =	y̅-β₁x̅=	8.5665
*Least square line equation: ŷ = 8.5665+0.7295x**

Answer 2

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