Suppose that (Y,, X,-) satisfy the assumptions specied here and in addition, u,- is N (0, 0i) and independent of X,. A random sample of n = 30 is drawn and yields $=53 62 + 71.37X, R2 = 0.49, SER = 1.6 (5.4) (8.8) Where the numbers in parentheses are the homoskedastioonly standard errors for the regression coefcients 2'30 and 231 respectively. Refer to the student tdistribution with n 2 degrees of freedom to answer the following questions. Construct a 95% condence interval for [30 using the student tdistribution (with n 2 degrees of freedom) table available here. The 95% confidence interval for [30 is [D, D]. (Round your responses to two decimal places) Critical Values for Student t Distribution Degrees of freedom One-sided 5% Two-sided 5% 6.314 12.710 2.920 4.303 2.353 3.182 2.132 2.776 2.015 2.571 50 0 VO UI A W N- 1.943 2.447 1.895 2.365 1.860 2.306 1.833 2.262 10 1.812 2.228 1.796 2.201 12 1.782 2.179 13 1.771 2.160