Question

The Masters is one of the four major golf tournaments. Only the 60 golfers with the lowest two-round total advance to the final two rounds (unless several people are tied for 60th place, in which case all those tied for 60th place advance). Suppose that for a certain year the least-squares line for predicting second-round scores from first-round scores has equation

yˆ=51.37+0.317xy^=51.37+0.317x

(a) Find the predicted (±±0.001) second-round scores for a player who shot 80 in the first round

(b) Find the predicted (±±0.001) second-round scores for a player who shot 70 in the first round

Answer 1

Solution:

We are given a regression equation for the prediction of second round scores (ŷ) as below:

ŷ = 51.37+0.317*x

Where, x is a first round score.

(a) Find the predicted (±0.001) second-round scores for a player who shot 80 in the first round

We are given x = 80

ŷ = 51.37+0.317*x

ŷ = 51.37+0.317*80

ŷ = 76.730

Required second round score = 76.730

(b) Find the predicted (±0.001) second-round scores for a player who shot 70 in the first round

We are given x = 70

ŷ = 51.37+0.317*x

ŷ = 51.37+0.317*70

ŷ = 73.560

Required second round score =73.560