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 least - squares regression line of this data set is: y = - 14.014x + 248.815. if audrey sleeps 6 hours one night, how many minutes does this line predict it will take her to do her math homework the next day? round your answer to the nearest integer.

Explanation:

Step1: Identify the regression - line equation

The regression - line equation is $y=-14.014x + 248.815$.

Step2: Substitute the value of $x$

We are given $x = 6$. Substitute $x = 6$ into the equation: $y=-14.014\times6+248.815$.

Step3: Calculate the value of $y$

First, calculate $-14.014\times6=-84.084$. Then, $y=-84.084 + 248.815=164.731$.

Step4: Round the result

Rounding $164.731$ to the nearest integer gives $165$.

Answer:

165