heres the stata data

and mothcoll(x7). For the model you specified, please also state what sign you would expect for each coefficient briefly justifying your answer. [2 points] b. Using Stata please calculate and report a table containing the summary statistics for the dependent variable and explanatory variables in the model you specified under question (a). Your summary statistics should include the mean, standard deviation, minimum, and maximum values for each variable. Please interpret the standard deviation for colgpa. [2 points) c. Using the data in the Stata data file entitled 'econmath' please estimate the regression model specified above. Please report summary results containing the estimated intercept and the coefficients, number of observations, Total sum of squares (TSS), Explained sum of squares (ESS), and Residual sum of squares (RSS). [2 points) d. Please interpret the estimated coefficient for each of the independent variables. Also comment on whether the sign of the estimated coefficient makes intuitive sense for each independent variable briefly justifying your answer in each case. [5 points] e. Following our in-class discussion on the coefficient of multiple determination (R) and the adjusted R2, please carefully explain why the value of the adjusted R2 may decrease when an irrelevant variable is added to the model while the R2 will never decrease if a variable is added to the model. Please also use the data given in this problem to verify the mathematical argument you used to answer this question. [4 points] STATA COMMAND: sum colgpa calculus study econhs hsgpa actmth fathcoll mothcoll Variable Obs Mean Std. dev. Min Max colgpa 810 2.808598 5390048 calculus 810 6728395.4694663 study 810 13.8121 7.790524 econhs 810.362963 .4811514 hsgpa 810 3.34473 .3430076 .875 0 0 0 2.355 4. 1 50 1 4.26 36 actmth 810 23.21728 3.768282 fathcoll! 810 5259259.4996359 mothcoll 810.6185185 4860504 12 0 0