One day, you notice your 6'2" roommate's size 12 shoes and comment, "I think height and
foot size are correlated." You are somewhat surprised (and irked) by his response, "I think short
people have big mouths."
You decide to test your hypothesis; you find five people and record their heights (in inches) and
shoe sizes.
Calculate Pearson's r based on the following data:
Person 1; Shoe Size 12; Height 74
Person 2; Shoe Size 8; Height 62
Person 3; Shoe Size10; Height 73
Person 4; Shoe Size 9; Height 64
Person 5; Shoe Size 9
Solution
corelation coefficient = (sigma(xy))/sqrt(sigma(x^2)sigma(y^2))
= 0.8849