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# 4-8-11 - Regression 1 o The point of Regression Correlation...

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3/8/11 Regression 1 o The point of Regression Correlation is very close cousin to regressions With correlations we wanted to determine the strength and direction of the relationship between two variables With regression we want to predict the value of one variable from another We can also use more than one predictor so we can examine how a number of different variables predict an outcome o Predicting One Variable from Another Knowing one measure gives information about others from same subject Knowing weight tells us height Goal: Come up with a rule or function that uses X to compute Y Y hat predicted value of Y Function of X Best prediction of Y based on X o How Good is Prediction Error= Y-Y(hat) Goal Keep error close to zero Minimize Mean squared error o MSE=Sum of (Y-Yhat)^2/n-1 o Properties of Correlation Measures relationship between two continuous variables How well data are fit by a straight line R=sum of z sub x times z sub y/n-1

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4-8-11 - Regression 1 o The point of Regression Correlation...

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