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13) Find the value of the linear correlation coefficient r. Managers rate employees according to job performance and attitude
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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
Sxx= Σ(Xi-X̅)2= 520.900
Sxy      =        Σ(Xi-X̅)(Yi-Y̅)= 380.000
slope= β̂1 = Sxy/Sxx= 0.7295
intercept= β̂0 = y̅-β1x̅= 8.5665
Least square line equation: ŷ = 8.5665+0.7295*x
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