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Hill_Quiz#3

# Hill_Quiz#3 - TO FROM DATE SUBJECT Dr Weese Patrick Hill 21...

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TO: Dr. Weese FROM: Patrick Hill DATE: 21 September 2011 SUBJECT: Quiz #3 Memo After analyzing the data for the top 50 colleges, according to www.usnews.com , I have calculated a regression model that best suits the data. The analysis had the following conclusions: The coefficient of determination (R²) is 64.0% and the coefficient of determination adjusted (R²- adj) is 63.2%. 64% of the variation in retention rates is explained by the current model. However, only 63.2% of the variation in retention rates is explained by the model, adjusting for sample size and the number of predictors. The model gives us a slope coefficient of “-.114.” So, for every 1% increase in the acceptance rates, the mean value of retention rates will decrease by .114%. The mean values of acceptance rates and retention rates are negatively correlated. The regression equation for the line of best fit is “retention = 99.0 - .114 (acceptance).” There is no practical use of the y-intercept (99.0) because there will never be a 0% acceptance rate. Also,

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