Question

b multiple choice 1.25 points a sample of 9 employees was taken at a factory. they were asked their commute time to work, x, in minutes and the number of absences, y, they have had. the least-squares regression line is given to be ŷ = 0.469x − 32.2 interpret the y-intercept. there is no interpretation for the y intercept since you cant have -32 absences. for every absence their commute time increase by 0.469 min. for an employee with a commute time of zero, their number of absences decreases by about 32. for every minute increase in their commute time, the number of absences increases by about 0.5, on average.

Explanation:

Step1: Identify y-intercept meaning

The regression line is $\hat{y} = 0.469x - 32.2$. The y-intercept is $-32.2$, which occurs when $x=0$ (commute time=0).

Step2: Check practical validity

A negative number of absences ($-32.2$) is impossible, so the y-intercept has no real-world interpretation.

Answer:

A. There is no interpretation for the y intercept since you can't have -32 absences.