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Mathematics, 04.12.2019 03:31 reyrey216
Show that an equivalent way to define the test for significance of regression in simple linear regression is to base the test on r2 as follows: to test h_{0}=\beta _{1}=0 versus h_{1}: \beta _{1}\neq 0 , calculate f_{0}=\frac{r^{2}(n-2)}{1-r^{2}} and to reject h_{0}: \beta _{1}=0 if the computed value f_{0}> f_{\alpha ,1,n-2} . suppose that a simple linear regression model has been fit to n = 26 observations and r2 = 0.7.a) test for significance of regression at \alpha= 0.05. h0: (reject, do not reject) select oneb)what is the smallest value of r2 that would lead to the conclusion of a significant regression if \alpha= 0.05.
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