Homework 8 Instructions: Place all answers into a single one-totwo page document. Upload the docu ment onto the Canvas homework page by the due date. Documents must be in one of the following formats: .doc, .docx, or .pdf. Data for completing these problems is found under the \"Files / Homework/ Homework 8\" page on Canvas. Include all R code used to complete this assignment The le Wage. csv contains data on 50 employees. For each employee, their hourly wage (Wage), years of higher eduation (Educ), years of experience (Exper), Age, and a Male dummy variable that is equal to 1 if the employee is male (and is 0 otherwise) is recorded. This le can be found on Canvas under the \"Files / Homework / Homework 8\" page. 1. (3pts) Regress Wage on Educ, Exper, Age, and the Male dummy indicator variable. What is your estimated regression equation? 2. (2pts) Predict the hourly wage of a 40yearold male employee with 10 years of higher education and ve years of experience, and predict the hourly wage of a 40yearold nonmale employee with 10 years of higher education and ve years of experience. 3. (5pts) Using this model, test whether Males earn more per hour than females at the a = 0.05 signicance level. Include the null and alternative hypotheses, the test statistic, the degress of freedom of the distribution of the test statistic under the null hypothesis, the pvalue, and the conclusion