Answer to Question #226078 in Statistics and Probability for Carrie

Question

Consider the following data

X 1 3 4 6 9 8 10

Y 1 8 15 33 75 70 95

The coefficient of correlation is

1. 0:976

2. 1:00

3. 0:82

4. 0:953

5. 0:88

Answer 1

Solution:

X Values:

∑ = 41

Mean = 5.857

∑(X - M_x)² = SS_x = 66.857

Y Values:

∑ = 297

Mean = 42.429

∑(Y - M_y)² = SS_y = 8327.714

X and Y Combined:

N = 7

∑(X - M_x)(Y - M_y) = 728.429

R Calculation

r = ∑((X - M_y)(Y - M_x)) / $\sqrt{(SS_x)(SS_y)}$

r = 728.429 / $\sqrt{(66.857)(8327.714)}$ = 0.9762

Thus, option 1 is correct.