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 l000, 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.
a) Which model appears to do the best?
b) Would you leave all three predictors in this model?
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.
d) Be sure to check the conditions for multiple regression. What do you conclude?

Transcribed Image Text:

Life Murder Graduation Income/ expectancy ate08 Rate cap07 Illiteracy State Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana 74.4 7.6 77.1 77.5 6.3 75.2 78.2 5.8 78.23.2 78.7 3.5 76.8 6.5 77.5 6.4 75.3 6.6 80.0 77.9 76.4 76.1 5.1 78.3 2.5 77.3 4 62% 27557 0.15 34316 0.09 28088 0.13 25563 0.14 35352 0.23 34902 0.10 46021 0.09 34533 0.11 32693 0.20 28452 0.17 33369 0.16 26530 0.11 34290 0.13 28587 0.08 29784 0.07 31268 0.08 4.1 67 72 68 75 73 59 54 69 1.5 74 93 76 Kansas Life Murder Graduation Income expectancy rate08 Rate cap07 Iliteracy State Kentucky Louisiana 75.2 4.671 26457 0.12 74.2 11.9 69 29557 016 77.6 2.4 78 28677 007 76.3 8.8 75 39136 0.11 Massachusetts 78,4 2.6 75 41740 0.10 76.3 5.4 75 29837 0.08 78.8 2.1 82 34896 0.06 736 8. 62 24530 0.16 75.9 77 75 29245 0.07 772 2.4 83 27602 0.09 77.8 3.8 85 31015 0.07 75.8 6.3 58 34424 0.16 71 35302 006 77.5 4.3 75 41835 0.17 77.0 72 65 26766 0.16 77.7 4.3 70 40296 0.22 North Carolina 758 65 6328604 0.14 Maryland Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York 783 1 North Carolina 75.8 6.5 6 28604 0.14 North Dakota 78.3 05 88 29633 0.06 Ohio Oklahoma Oregon Pennsylvania 76.7 5.6 82 32986 0.13 Rhode Island 78.3 2.8 South Carolina 74.8 68 62 26374 0.15 South Dakota 77.7 3.2 80 28833 0.07 Tennessee Texas Utah Vermont Virginia Washington West Virginia 7 3. 25118 0.13 Wisconsin Wyoming 76.2 4.7 77 29657 0.09 75.2 5.8 74 29044 0.12 778 2.2 67 29580 0.10 783 28 12 75.1 6.6 60 2830 0.13 76.7 5.6 67 31624 0.19 787 14 81 26523 0.09 78.2 2.7 84 31184 0.07 76.8 4.7 74 35162 0.12 78.2 29 70 34368 0.10 77.9 2.6 85 30655 0.07 76.7 19 81 36760 0.09