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Data collected from a random sample of 200 students in a large rstayear university class include their endaofasemester exam mark worth 70 marks (exam) and their marks for the internal assessments including their marks for assignment 1 (A51), assignment 2 (A52) and a midsemester test (mid), each worth 10 marks. The estimated model is of the form exam 2 31 + 2AS]. + 531432 + 54Mid + e The output of the Gretl estimation is below Model 1: OLS, using observations 1200 Dependent variable: exam Coefficient Std. Error tratio pvalue const 10.0750 3.14108 3.208 0.0016 *** A51 1.54421 0.431630 3.578 0.0004 *** A52 1.44726 0.466088 3.105 0.0022 *** mid 0.633485 0.282357 2.244 0.0260 ** Mean dependent var 39.82500 SD. dependent var 11.23233 Sum squared resid 16915.15 S.E. of regression 9.289877 Rsquared 0.326274 Adjusted Rsquared 0.315962 F(3, 196) 31.63982 Pvalue(F) 1.01e16 Loglikelihood 727.5525 Akaike criterion 1463.105 Schwarz criterion 1476.298 Hanna nQuinn 1468.444 Coefcient covariance matrix const as1 asZ mid 9.85637 -U.402936 41.594438 -0.1 51 121 const 0.186304 41.119738 0.029821 4 351 0.217238 0.0213140 as2 0.0?9?25? mid (1) What is the R2? (2) What is the adjusted R2? (3) What is the observed value of the F statistic for the overall signicance test of the model? (4) If the above hypothesis is tested at the 5% significance level, what is the critical value? (Use Gretl' to get the exact value.) (5) What is the observed value of the t statistic for a test on Hg: B2 = 0 against H1: [52 at 0? (6) If the above hypothesis is tested at the 5% significance level, what is the positive critical value? (Use Gretl to get the exact value.) (7) What is the observed value of the t statistic for a test on Hg: E; = 1 against H1: [32 at 1? (8) What is the pvalue for the test in (7)? (9) What is the observed value of the t statistic for a test on Hg: B2 = Bgagainst H1: |32 at B; using a ttest? (10} Do you reject the null at the 10% level? 3