Statistics Question

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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To test whether or not the correlation coefficient is significant, t-test is used. The null and alternative hypothesis are given as : 

Ho : ρ=0H1 : ρ0

The test statistics is given by :

   t=r.n-21-r2~tn-2

For level of significance α=0.05 and degrees of freedom (n-2)=3, the two tailed critical t-value is ±3.182

Critical values are : -3.182 and +3.182

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