Question

read the following description of a data set. the math teachers at oxford high school had never golfed before. they set up a friendly competition to see who would have the best round on a full course. the teachers practiced on a driving range the week before they played. the statistics teacher tracked the number of hours practiced, x, and the final score, y, of each player. the least squares regression line of this data set is: y = -40.735x + 114.843 what score does this line predict for someone who spent 2 hours practicing on the driving range? round your answer to the nearest integer. points

Explanation:

Step1: Substitute \(x = 2\) into the regression equation

We have the regression line \(y=-40.735x + 114.843\). Substitute \(x = 2\) into it:
\(y=-40.735\times2+114.843\)

Step2: Calculate the value of \(y\)

First, calculate \(-40.735\times2=-81.47\). Then, \(y=-81.47 + 114.843\)
\(y = 33.373\)

Step3: Round to the nearest integer

Since \(33.373\approx33\) (because the decimal part \(0.373<0.5\))

Answer:

33