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### Course: AP®︎/College Statistics>Unit 13

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

# Confidence interval for slope

## Problem

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:
PredictorCoefSE CoefTP
Constant$2.544$$0.134$$18.955$$0.000$
Caffeine$0.164$$0.057$$2.862$$0.010$
$\text{S}=1.532$$\text{R-sq}=60.0\mathrm{%}$
Assume that all conditions for inference have been met.
Which of these is a $95\mathrm{%}$ confidence interval for the slope of the least squares regression line?