Question

Lyla is an editor reviewing short story submissions for a literary magazine. She collected data showing that she's an efficient reviewer and wants to leverage this to get a raise.
For a week, Lyla recorded the number of words in each short story submission, x, and how long it took her to review that story (in minutes), y.
The least squares regression line of this data set is:
ŷ=0.003x+32.164

Complete the following sentence:

For each additional word in a story, the least squares regression line predicts that it would only take Lyla ____ more minutes to review it.

Answer 1

The answer for the blank is 0.003

This is the slope value, which is the number in front of the x in the least squares regression line. Each time x increases by 1, y increases by 0.003

This is the predicted y value of course.