Linear regression class notes - Almost 100 confident that...

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1. Scatter plot-rel b 1 =0, b 2 =/0 2. F 157>4-5, p= 3. ^y=1.056+1.67X+e 4. b 0 =0 interpret b 1 =1.67 5. X=3.0 predict (plug the numbers in the equation): ^y=? 6. Is prediction valid? Look at coefficient of determination r 2 =0.9288, about 93% 7. Standard error 0.8215, fairly close to 0 Look at S y after running descriptive statistics S y =3.08, S y.x < S y, use model 8. LINE test to see if data is normally distributed. L I N E=0.19 9. t test H o : B 1 =0 H A : B 1 =/0 t=12.55, /t/>2, significant F=157.4478, p-value close to 0
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Unformatted text preview: Almost 100% confident that. ... 10. Confidence Interval: 1.38<B 1 <1.96, 95% 0 is not included in the confidence interval, so we are 95% confident that B 1 =/0 11. Look at the standardized residuals H o : Residuals are normally distributed H A : Residuals are not normally distributed y +- 1Q=6/13=50% y +- 2Q=13/13=100% y +- 3Q=13/13=100% Approximately normal Normal probability plot: supports normal distribution of the sample data...
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