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

Essay

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 $\beta _ { 1 }$ .