The data for n = 25 points were subjected to a simple linear regression with the results: $$\hat { \beta } _ { 1 } = 0.94 \text { and } \mathrm { s } _ { \beta 1 } ^ { \wedge } = 0.13 \text {. }$$
a. Test whether the two variables, $x$ and $y$, are positively linearly related. Use $\alpha = .05$.
b. Construct and interpret a $90 \%$ confidence interval for $\beta _ { 1 }$.

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The Answer of The data for n = 25 points were subjected to a simple linear regression with the results: $$\hat { \beta } _ { 1 } = 0.94 \text { and } \mathrm { s } _ { \beta 1 } ^ { \wedge } = 0.13 \text {. }$$
a. Test whether the two variables, $x$ and $y$, are positively linearly related. Use $\alpha = .05$.
b. Construct and interpret a $90 \%$ confidence interval for $\beta _ { 1 }$.

The Data for N = 25 Points Were Subjected to a Simple