Lecture6_R2_F_ANOVA-2012 - Lecture 6 Stat102 2012 Assessing...

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1 Lecture 6 Stat102 2012 Assessing the importance of having a sloped regression line (Chapter 3.4) R squared ANOVA table F-test NOTE: Your book titles this section: “Assessing the fit of the regression line”. But it’s not really about how well the regression line fits. I t’s really about how much better a sloped line fits than does a horizontal one.
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2 Example: College Contribution Rate Data: For a sample of major American Colleges & Universities, x = student /faculty ratio Y = % of alumni who contribute to the institution Giving Rate = 53.01 - 2.057 Stud/Fac Ratio Darker pt is U of Penn. Which school do you think is at Y =68%? Which one is at x = 23 and Y = 19%? How well does the L-S line fit the data? NOTE: Really should say: How much better does it fit than does a horizontal line ?” 0 10 20 30 40 50 60 70 Alumni Giving Rate 5 10 15 20 25 Student/Faculty Ratio
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