Least squares regression line basics

In order to earn a little extra money, Anna set up a lemonade stand on her block over the summer. Suspecting that there might be a relationship between the temperature and the amount of lemonade she sells, Anna recorded the day’s high temperature and the number of cups of lemonade she sold for

10

days. After plotting her results, Anna noticed that the relationship between her two variables appeared fairly linear, so she used technology to calculate the equation of the least-squares regression line.

The figure below shows the computer regression output.

Predictor	Coef	SE Coef	T	P
Constant	$- 33.704$ ‍	$0.134$ ‍	$20.678$ ‍	$0.000$ ‍
Temperature	$0.6012$ ‍	$0.057$ ‍	$4.0456$ ‍	$0.004$ ‍

S = 1.926 R - S q = 67.168 % R - S q (a d j) = 60.581 %

Which of the following is the best interpretation of the slope of Anna's least-squares regression line?

(Choice A)
For each additional day, the amount of lemonade sold increased by $0.6012$ ‍ cups.
(Choice B)
For each additional day, the predicted amount of lemonade sold increased by $0.6012$ ‍ cups.
(Choice C)
For each additional degree the temperature rose, lemonade sales increased by $0.6012$ ‍ cups.
(Choice D)
For each additional degree the temperature rose, the predicted amount of lemonade sold increased by $0.6012$ ‍ cups.
(Choice E)
For each additional cup of lemonade sold, the predicted temperature increased by $0.6012$ ‍ degrees.

Staging content lifeboat

Course: Staging content lifeboat > Unit 13

Problem