reg EARNINGS S JA Source EARNINGS SS S cons df Model 3977.38016 Residual 34419.6569 Total 38397:0371 569 67.4816117 1 3977.38016 568 50.5979875 MS- Coef. Std. Err. 1.073055 .1324501 -1.391004 1.820305 't P>|t| 8.102 0.000 -0.764 0.445 Number of obsa P 1, 558) = Prob > F = R-squared = 0.1036 Adj R-squared = 0.1020- Root MSE = 7.7845 -570 65.64 0.0000 [95% Conf. Interval] .8129028 -4.966354 1.333206 2.184347 In the regression results above: a. Explain whether the coefficients are significant or not, basing on all criterion, t-test, p- value and confidence interval approach, explain why? (1 marks) b. In (a) above, how was the Null Hypothesis set and if the Null hypothesis was set differently, would you have arrived at the same conclusions as in (a) (1 marks) c. What if we widen the confidence interval or significance level to say 20 percent, would we have arrived in the same conclusion as in (a) above, what type of error would we expect to encounter in this case, if the Null hypothesis is wrong (1 marks) d. What is a difference between Type 1 errors and Type II errors (1 marks)​