Definiton of a linear correlation test: Definition of a t-test: how are these test statistics similar and how are they different?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 8PPS
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Definiton of a linear correlation test:

Definition of a t-test:

how are these test statistics similar and how are they different?

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