hw1sol

# hw1sol - STAT 4220 HW1 Solution 1 Problem 1(a Fitting the...

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Unformatted text preview: STAT 4220 HW1 Solution 1 Problem 1 (a) Fitting the model with all predictors yields the following output (see appendix for R code): > summary(mod1) Call: lm(formula = sr ~ ., data = savings) Residuals: Min 1Q Median 3Q Max-8.2422 -2.6857 -0.2488 2.4280 9.7509 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 28.5660865 7.3545161 3.884 0.000334 *** pop15-0.4611931 0.1446422-3.189 0.002603 ** pop75-1.6914977 1.0835989-1.561 0.125530 dpi-0.0003369 0.0009311-0.362 0.719173 ddpi 0.4096949 0.1961971 2.088 0.042471 *--- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 Residual standard error: 3.803 on 45 degrees of freedom Multiple R-squared: 0.3385, Adjusted R-squared: 0.2797 F-statistic: 5.756 on 4 and 45 DF, p-value: 0.0007904 (b) The hypothesis is H : β pop 15 = 0 vs. H 1 : β pop 15 6 = 0. With p = . 002603 < . 01, we reject the null at the α = . 01 level and conclude that pop15 is a significant predictor for the response....
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## This note was uploaded on 06/06/2011 for the course STAT 4220 taught by Professor Smith during the Spring '08 term at UGA.

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hw1sol - STAT 4220 HW1 Solution 1 Problem 1(a Fitting the...

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