Question

this to get a raise.
for a week, aubrey 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 correct least squares regression line for the data set is:
y = 0.006x + 17.387
use it to complete the following sentence:
for each additional word in a story, the least squares regression line predicts that it would only take aubrey more minutes to review it.

Explanation:

Step1: Recall the slope - intercept form of a line

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. In the context of a regression line \(y=\text{predicted value}\), \(x\) is the independent variable.

Step2: Interpret the slope

For the regression line \(y = 0.006x+17.387\), the slope \(m = 0.006\). The slope \(m\) represents the change in \(y\) (the time to review in minutes) for a one - unit change in \(x\) (the number of words).

Answer:

\(0.006\)