Life Exp HS State Name Murder Grad Income Illiteracy 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 lowa 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 Maryland 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
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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.
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.
sion. What do you conclude?


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