Question

question 3 (multiple choice worth 1 points) (linear models mc) data were collected from librarians about their reading habits and job experience. the results were used to calculate the model ŷ = 5.95x + 14.89, where x represents the number of years working as a librarian and ŷ represents the predicted number of books read per year. interpret the slope of the model in the context of the problem. for every additional year working, librarians are predicted to read more than 14 more books per year. for every additional year working, librarians are predicted to read between 5 and 6 more books per year. approximately 6 librarians read between 14 and 15 books each. approximately 15 librarians read 6 books each.

Explanation:

Step1: Recall slope - intercept form

The linear model is in the form $\hat{y}=mx + b$, where $m$ is the slope. Here, $m = 5.95$ and $\hat{y}$ is the predicted number of books read per year and $x$ is the number of years working as a librarian.

Step2: Interpret the slope

The slope represents the change in $\hat{y}$ for a unit - change in $x$. A unit change in $x$ (one additional year working) leads to a change in $\hat{y}$ (number of books read) equal to the slope value. Since the slope $m = 5.95\approx6$, for every additional year working, librarians are predicted to read about 6 more books per year.

Answer:

For every additional year working, librarians are predicted to read about 6 more books per year.