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Consider the data: X- 1 Y- 6 3 14 5 7 2 20 9 11 10 18 13 15 26 22 (a) Calculate the correlation between X and Y. 0.7399 (b) W

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X Y XY X^2 Y^2
1 6 6 1 36
3 14 42 9 196
5 2 10 25 4
7 20 140 49 400
9 10 90 81 100
11 18 198 121 324
13 26 338 169 676
15 22 330 225 484
n 8
sum(XY) 1154.00
sum(X) 64.00
sum(Y) 118.00
sum(X^2) 680.00
sum(Y^2) 2220.00
Numerator 1680.00
Denominator 2270.59
r 0.7399
r square 0.5474
Xbar(mean) 8.0000
Ybar(mean) 14.7500
b 1.2500
a 4.7500

b = ΠΣxy - (Σκ) Σy) ΠΣχ2 - (Σx)2

b = 1.2500

a = Σy - bΣΧ n

a = 4.7500

y = bx + a

y = 1.2500x + 4.7500

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