Answer:
The t test statistics = 6.1357
Step-by-step explanation:
Given that:
sample (n) = 6
r = [tex]\sqrt{\frac{SSR}{SST} }[/tex]
r = [tex]\sqrt{\frac{60}{89} }[/tex]
r = 0.821
Therefore; the t test statistic can be calculated as :
[tex]t = r* (\frac{\sqrt{n - 2} }{1 - r^2} ) \\ \\ t = 0.821 * (\frac{\sqrt{6 - 2} }{1 - 0.821^2} )\\\\ t = 0.821 * (\frac{\sqrt{4} }{1 - 0.674041} ) \\ \\ t = (\frac{\sqrt{4} }{0.325959})\\ \\ t = (\frac{ 2 }{0.325959}) \\ \\ t = 6.1357[/tex]
