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

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

asevilla5 · Answer

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

anonymous · Answer

youre amazing (: thank you !