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.