Question

jen wants to know if the number of pairs of shoes a person owns is correlated with the number of hats a person owns. after asking 30 random people jen fits the following least square regression line: predicted hats = 4 + 0.2(pairs of shoes) which of the following statements is true? jen predicts that a person who does not own any shoes will own 4 hats. sally owns 8 pairs of shoes. it is predicted that sally will also own 20 hats.

Explanation:

Step1: Analyze first statement

Let pairs of shoes = 0. Substitute into regression line.
Predicted Hats = 4 + 0.2(0) = 4.

Step2: Analyze second statement

Let pairs of shoes = 8. Substitute into regression line.
Predicted Hats = 4+0.2(8)=4 + 1.6=5.6, not 20.

Answer:

Jen predicts that a person who does not own any shoes will own 4 hats.