Need help with Multiple linear regresison problem ASAP. See attached for documentaiton

Math\tHours\tMajor 80\t5\tScience 50\t3\tScience 30\t2\tScience 20\t1\tScience 60\t4\tScience 78\t3\tEngineering 43\t1\tEngineering 103\t5\tEngineering 48\t2\tEngineering 80\t4\tEngineering 38\t2\tHistory 69\t4\tHistory 23\t1\tHistory 24\t1\tHistory Question 9 13 pts Open the "Math Scores" dataset. The dataset consists of Math scores {Math} for 14 students with information about their undergraduate major {Major} and weekly hours of study {Hours}. Your goal is to t a regression model to express the dependence of Y {Math} on X {Hours} and Major (Engineering. History, or Scienoe]. Type your answers to the following questions in the text box below and include relevant output from Minitab [or any other software you may be using) for this analysis. a. {3 pts} Clearly dene a set of indicator variables that could be used in a regression model to represent the qualitative variable Major. IHint: Think carefully about the number of indicator variables needed given the number of levels of Major and use "Engineering\" as the reference leyelJ b. {2 pts} Write a population multiple linear regression equation for predicting the Math scores in terms of Hours and Major. Sinoe Major could impact the dependenoe of Math score {Y} on Hours (3-1}, include in the model interaction effects between Hours and Major. together with their main effects. IHint: Your equation should include Y, )t, the indicator variables you defined in part in}. interaction terms, and population regression coefcients [E's]. Do not include estimated coefcientsr i.e., numbers, in this part] c. {4 pts} Flt the model from part {b] and conduct a single hypothesis test using signicance level {1.05 to determine whether the average change in Math score per one additional Hour of study per week differs by Major. Write the null and alternative hypotheses, the test statistic, the p-value. and the conclusion. [1' o fit the model in Minitab: Select Math as the Response. Hours as the Continuous predictor; and Major as the categorical predictors click \"Model," select both Hours and Major together in the Predictors box and click the Add button next to "interactions through order 2'."j d. {4 pts} Write a new population regression model based on your conclusion to part {c}. Flt this model and conduct two separate hypothesis tests using signicance level 0.05 for whether the mean Math score for a xed number of Hours of study per week differs by Major. For each test. write the null and alternative hypotheses, the test statistic, the p-yalue. and the conclusion. e. {3 pts} Based on your oonclusion to part {d}, write three fitted sample regression equations that can be used to predict the Math score from the Hours of study per week for each Major. {Hint- Your equations should include number Irallies, not ,G'sj f. {2 pts} Based on one of the equations from part {e}. predict the Math score for a History major who studies 4 hours a week A point estimate is sufficient. HTMLEditm-a BIHL'I'EEEEEEX'EEEE Ev o9 as E :II a n .11 in FontSizes v Paragraph