Question

audrey has trouble getting her math homework done on time, and her mother suspects it is due to lack of sleep. for the next few nights, audreys mother notes the number of hours she sleeps, x, and the number of minutes it takes her to do her math homework the following day, y. the correct least squares regression line for the data set is: y = -14.014x + 248.815 use it to complete the following sentence: if audrey sleeps for one extra hour at night, the least squares regression line predicts it will take her fewer minutes to do her math homework the next day.

Explanation:

Step1: Identify the slope of regression line

The regression line is $y = - 14.014x+248.815$, and the slope is - 14.014.

Step2: Interpret the slope

The slope represents the change in $y$ (minutes to finish homework) for a unit - change in $x$ (hours of sleep). A unit change in $x$ is 1 hour. Since the slope is - 14.014, when $x$ increases by 1 (1 extra hour of sleep), $y$ decreases by 14.014.

Answer:

14.014