Question

Part A: What is the equation of the least-squares regression line? (4 points)

Part B: If a basketball player wears a size 11.5 and is 73 inches tall, what their residual? Show all mathematical work.
(3 points)
Part C: Interpret the meaning of the residual from part B. (3 points)

Shoe Size (U.S.) Height (inches)
7.5, 63
8, 70.5
12, 72
8.5, 71
9, 69.5
10.5, 70
11, 75
12.5, 64
13, 72
10.5, 68

Answer 1

Part A:

Plot the points on the graphing calculator, with x = shoe size and y = height. Then generate a linear regression model.

f(x) = .468x + 64.699

Part B:

f(11.5) = 70.09

Residual = 73 - 70.086 = 2.914 inches

Part C:

The height of this player is 2.914 inches above the projected height.