Please answer the question and the following points in a clear and detailed way showing all the steps to get to the final answer

Question 9: (from chapter 13) Here is a data set on various measures of the 50 United States. The murder rate is per 100,000, HS graduation rate is in %, income is per capita income in dollars, illiteracy rate is per 1000, and life expectancy is in years. Find a regression model for life expectancy with three predictor variables by trying all four of the possible models. (Yes, you should run 4 different regression models, each time with four three out of the available 4 independent variables). a) Which model appears to do the best? b) Would you leave all three predictors in thismodel? c) Does this model mean that by changing the levels of the predictors in this equation, we could affect life expectancy in that state? Explain. b) Be sure to check the conditions for multiple regression. What do you conclude? State Name Murder HS Grad Income Illiteracy Life Exp Alabama 15,1 41,3 3624 2,1 69,05 Alaska 11,3 66,7 6315 1.5 69,31 Arizona 7,8 58,1 4530 1.8 70.55 Arkansas 10,1 39,9 3378 1.9 70,66 California 10,3 62,6 5114 1.1 71,71 Colorado 6.8 63.9 4884 0.7 72.06 Connecticut 3,1 56 5348 1,1 72,48 Delaware 6.2 54.6 4809 0.9 70.06 Florida 10,7 52,6 4815 1.3 70,66 Georgia 13.9 40.6 4091 2 68.54 Hawaii 6.2 61.9 4963 1.9 73.6 Idaho 5.3 59.5 4119 0.6 71.87 Illinois 10.3 52.6 5107 0.9 70.14 Indiana 7,1 52,9 4458 0,7 70,88 Iowa 2.3 59 4628 0.5 72.56 Kansas 4.5 59.9 4669 0.6 72.58 Kentucky 10.6 38.5 3712 1.6 70.1 Louisiana 13.2 42.2 3545 2.8 68.76 Maine 2.7 54.7 3694 0.7 70.39 Marvland 8.5 52.3 5299 0.9 70.22 Massachusetts 3.3 58.5 4755 1.1 71.83 Michigan 11.1 52.8 4751 0.9 70.63 Minnesota 2.3 57.6 4675 0.6 72.96 Mississippi 12.5 41 3098 2.4 68.09 Missouri 9.3 48.8 4254 0.8 70.69 Montana 5 59.2 4347 0.6 70.56 Nebraska 2.9 59.3 4508 0.6 72.6 Nevada 11,5 65,2 5149 0.5 69,03 New Hampshire 3,3 57.6 4281 0,7 71,23 New Jersey 5,2 52.5 5237 1.1 70,93 New Mexico 9.7 55.2 3601 2.2 70,32 New York 10.9 52.7 4903 1.4 70,55 North Carolina 11,1 38.5 3875 1.8 69,21 North Dakota 1.4 50.3 5087 0.8 72.78 Ohio 7.4 53.2 4561 0.8 70,82 Oklahoma 6.4 51.6 3983 1,1 71,42 Oregon 4,2 60 4660 0.6 72, 13 Pennsylvania 6.1 50.2 4449 70,43 Rhode Island 2.4 46.4 4558 1.3 71,9 South Carolina 11.6 37,8 3635 2.3 67,96 South Dakota 1,7 53,3 4167 0.5 72,08 Tennessee 11 41.8 3821 1.7 70, 11 Texas 12,2 47.4 4188 2.2 70,9 Utah 4.5 67.3 4022 0.6 72,9 Vermont 5,5 57,1 3907 0.6 71,64 Virginia 9,5 47,8 4701 1.4 70,08 Washington 4.3 63.5 4864 0.6 71,72 West Virginia 6,7 41,6 3617 1.4 69.48 Wisconsin 3 54.5 4468 0.7 72,48 Wyoming 6.9 62.9 4566 0.6 70,29