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## AP®︎/College Statistics

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

Lesson 2: Testing for the slope of a regression model

# Test statistic for slope

## Problem

Elvin collected the scores of a random sample $41$ students on the first exam in a certain class and their corresponding scores on the second exam in that class. Here is computer output on the sample data:
Summary statistics
VariablenMeanStDevSE Mean
$41$$59.5$$19.7$$3.1$
$41$$59.4$$21.7$$3.4$
Regression: second exam score vs. first exam score
PredictorCoefSE Coef
Constant$6.985$$6.65$
First exam score$0.881$$0.11$
$\text{S}=13.2$$\text{R-sq}=62.89\mathrm{%}$
Assume that all conditions for inference have been met.
Which of these is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is $0$?