Question

You collect blood from a sample of 5 students. After measuring their cholesterol, you ask each how many cheeseburgers they eat each week. The cholesterol levels and cheeseburger intake for each student is listed below
100 6
130 12
150 16
180 20
210 36
You are asked to calculate the Correlation Coefficient and find that it is . . . (note: If your answer is not a "whole number", you should round to the nearest one hundreth (0.01) - in other words, the keep two digits after the decimal. For example, 0.823 would be 0.82 and likewise, 0.827 would be 0.83)

Answer 1

X Values
∑ = 770
Mean = 154
∑(X - M_x)² = SS_x = 7320

Y Values
∑ = 90
Mean = 18
∑(Y - M_y)² = SS_y = 512

X and Y Combined
N = 5
∑(X - M_x)(Y - M_y) = 1860

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

r = 1860 / √((7320)(512)) = 0.96