Question

Consider these two datasets: A={7,30,25,18,13,28,1} and B={28,3,4,15,26,25,40}. What can you conclude regarding the relationship between A and B?

correlation between 2 datasets

Answer 1

X Values
∑ = 122
Mean = 17.429
∑(X - M_x)² = SS_x = 725.714

Y Values
∑ = 141
Mean = 20.143
∑(Y - M_y)² = SS_y = 1094.857

X and Y Combined
N = 7
∑(X - M_x)(Y - M_y) = -723.429

R Calculation
r = ∑((X - M_y)(Y - M_x)) / √((SS_x)(SS_y))

r = -723.429 / √((725.714)(1094.857)) = -0.8116
Hence we see that there is negative correlation between A and B.