Main content

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 13

Lesson 1: Confidence intervals for the slope of a regression model

Confidence interval for slope

AP.STATS: UNC‑4 (EU), UNC‑4.AF (LO), UNC‑4.AF.1 (LO), UNC‑4.AF.2 (LO)

Musa is interested in the relationship between hours spent studying and caffeine consumption among students at his school. He randomly selects 20 students at his school and records their caffeine intake (mg) and the amount of time spent studying in a given week. Here is computer output from a least-squares regression analysis on his sample:

Predictor	Coef	SE Coef	T	P
Constant	2, point, 544	0, point, 134	18, point, 955	0, point, 000
Caffeine	0, point, 164	0, point, 057	2, point, 862	0, point, 010
start text, S, end text, equals, 1, point, 532	start text, R, negative, s, q, end text, equals, 60, point, 0, percent

Assume that all conditions for inference have been met.

Which of these is a 95, percent confidence interval for the slope of the least squares regression line?

(Choice A)
0, point, 164, plus minus, 2, point, 101, left parenthesis, 0, point, 057, right parenthesis
(Choice B)
0, point, 164, plus minus, 1, point, 96, left parenthesis, 0, point, 057, right parenthesis
(Choice C)
0, point, 164, plus minus, 1, point, 734, left parenthesis, 0, point, 057, right parenthesis
(Choice D)
2, point, 544, plus minus, 2, point, 101, left parenthesis, 0, point, 134, right parenthesis
(Choice E)
2, point, 544, plus minus, 1, point, 734, left parenthesis, 0, point, 134, right parenthesis

Stuck?

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 13

Problem