Political Science Data Analysis Exercise State Population and State Wage Levels The summary output for all fifty states gives: R square (r 2 ) = 0.1505. This outcome suggests that only 15% of the variation in the mean hourly state wage levels (the dependent variable) can be attributed to the state populations (the independent variable). Taking the square root of this number gives you a pearson’s r of 0.388 which suggests a positive (higher than 0), but very weak association. It is positive in the sense that an increase in the population size will cause an increase in the mean hourly wage, but the closeness to the result to 0 means that this association is fairly weak. This data comparison provides a p-value of 0.0054, which is less than of the set alpha level of 0.05, rejecting the null hypothesis and therefore suggesting that the relationship between population size and hourly wage is likely real rather than random. Regional Analysis
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This note was uploaded on 12/05/2011 for the course POLISCI 101 taught by Professor Laraja during the Spring '08 term at UMass (Amherst).