Question

interpret the least squares regression line of this data set.
jasmine is an editor reviewing short story submissions for a literary magazine.
she collected data showing that shes an efficient reviewer and wants to leverage
this to get a raise.
for a week, jasmine recorded the number of words in each short story
submission, x, and how long it took her to review that story (in minutes), y.
words minutes
3,246 32.05
3,572 39.50
3,734 30.64
3,947 33.66
4,653 45.89
6,858 36.08
6,998 59.49
7,056 55.91
the correct least squares regression line for the data set is:
y = 0.005x + 17.299
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 jasmine more minutes to review it.

Explanation:

Step1: Recall the regression line formula

The general form of a linear regression line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Interpret the slope

In the given regression line \(y = 0.005x+17.299\), the slope \(m = 0.005\). The slope represents the change in \(y\) (minutes) for a unit change in \(x\) (words).

Answer:

\(0.005\)