In a simple linear regression analysis with n = 18 data points, an estimate ^1 = 0.522 is obtained with s.e.(^1) = 0.142. (a) Calculate

In a simple linear regression analysis with n = 18 data points, an estimate β^1 = 0.522 is obtained with s.e.(β^1) = 0.142.
(a) Calculate a two-sided 99% confidence interval for the slope parameter β1.
(b) Test the null hypothesis H0: β1 =0 against a two-sided alternative hypothesis.