Regression slope intervals

Desiree is interested in the relationship between caffeine consumption and hours spent studying at her university. She randomly selects

20

students at her school and records their caffeine intake (mg) and the amount of time spent studying in a given week. Desiree wants to perform a least-squares analysis to predict time spent studying from caffeine consumption.

In the context of this setting, which of the following is true about the slope $β$ ‍ of the population regression line?

(Choice A)
$β$ ‍ represents the exact change in hours of studying for each mg increase in caffeine consumption at Desiree's university.
(Choice B)
$β$ ‍ represents the average change in hours of studying for each mg increase in caffeine consumption in Desiree's sample at her university.
(Choice C)
$β$ ‍ represents the average change in hours of studying for each mg increase in caffeine consumption at Desiree's university.
(Choice D)
$β$ ‍ represents the exact change in caffeine consumption for each additional hour of studying in Desiree's sample at her university.
(Choice E)
$β$ ‍ represents the average change in caffeine consumption for each additional hour of studying among all students at Desiree's university.

Staging content lifeboat

Course: Staging content lifeboat > Unit 13

Problem