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.It’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 RatioDarker 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?”010203040506070Alumni Giving Rate510152025Student/Faculty Ratio