Question

The table shows average basketball scores per game of teams who spent a certain number of hours with each other outside of practice:



Hours spent together
2 4 6 8 10 12 14 16 18 20

Average Score per game
34 39 41 41 59 58 60 68 68 80

Calculate the correlation coefficient.
1

0.97

0.87

0.77

Answer 1

Result Details & Calculation

X Values
∑ = 110
Mean = 11
∑(X - Mx)2 = SSx = 330

Y Values
∑ = 548
Mean = 54.8
∑(Y - My)2 = SSy = 2101.6

X and Y Combined
N = 10
∑(X - Mx)(Y - My) = 808

R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 808 / √((330)(2101.6)) = 0.9702

Meta Numerics (cross-check)
r = 0.9702

so b

Answer 2

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