*Will Award Best Answer — Find the correlation coefficient r?
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B
Number of cases 6
∑ X = 21
∑ Y = 8200
∑ X^2 = 91
∑ Y^2 = 13920000
∑ XY = 35500
∑ X ∑ Y = 35500
r = ( ∑ XY - ∑X ∑Y / n ) / SQRT { [∑ X^2 - (∑X)^2 / n] [∑ Y^2 - (∑Y)^2 / n]}
Numerator of r = (35500) - (21)(8200) / 6 = 6800
Denominator of r = SQRT[91 - (21)^2 / 6] * SQRT[13920000 - (8200)^2 / 6]
= SQRT[17.5] * SQRT[2713333.333333]
r = 6800 / [4.1833] * [1647.21988]
Correlation coefficient r = 0.9868
D: strong positive linear correlation
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