Question

Read the table below: X Y 13 18 14 21 17 19 11 20 12 16...

Read the table below:

X Y
13 18
14 21
17 19
11 20
12 16
10 13

Determine

1. the correlation coefficient (r)

2. The coefficient of determination (r 2)

Homework Answers

Answer #1

Solution:

X Y XY X^2 Y^2
13 18 234 169 324
14 21 294 196 441
17 19 323 289 361
11 20 220 121 400
12 16 192 144 256
10 13 130 100 169
n 6
sum(XY) 1393.00
sum(X) 77.00
sum(Y) 107.00
sum(X^2) 1019.00
sum(Y^2) 1951.00
Numerator 119.00
Denominator 218.05
r 0.5458
r square 0.2978
Xbar(mean) 12.8333
Ybar(mean) 17.8333
SD(X) 2.2669
SD(Y) 2.6719
b 0.6432
a 9.5784

r = 0.546

r2 = 0.298

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