Run a regression of average hourly earnings (AHE) on bachelor, female and age. Write the regression model using the output. b) Calculate the difference between the expected hourly earnings of a 28-year old male (female=0) and that of a 35-year old female. [show the calculation] c) Show and explain how to use p-value given in the output to test the null hypothesis H0: bage = 40? Explain the inference / conclusion. d) Re-run the regression of AHE on bachelor, female, age, and (age x female). (age x female) is the interaction term. Write the regression model. Can you support the proposition that a woman’s earnings increase less than the earnings of a man for each year their age increases? Explain your conclusion. [That is, which part of the output did you use and why you conclude the way you do] e) Compare the adjusted R2 of the two regressions you have run. Why are they different or the same? Explain.