Practice Exam 2

# Practice Exam 2 - Statistics 224 lecture 1(Bates Midterm...

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Unformatted text preview: Statistics 224, lecture 1 (Bates) Midterm 2 2007-11-14 (p. 1) The xmp12.01 data set in the Devore6 package gives the palprebal fissure width (the width of the opening between the eyelids) and the occular surface area (OSA, the area of the exposed part of the eyeball) for several subjects. The experimenters wish to predict OSA from the fissure width. Questions 1 to 14 relate to this output. Palprebal fissure width (cm) Occular surface area (cm 2 ) 1 2 3 4 5 0.4 0.6 0.8 1.0 1.2 1.4 1.6 ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● Fitted values Residuals-0.5 0.0 0.5 1 2 3 4 ● ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●● ● ● ● ● Standard normal quantiles Residuals-0.5 0.0 0.5-2-1 1 2 ● ● ● ● ● ●● ●●● ●●● ● ● ● ● ●● ●● ● ● ● ● ● ● ● ● ● > summary(fm1 <- lm(OSA ~ palprebal, xmp12.01)) Call: lm(formula = OSA ~ palprebal, data = xmp12.01) Residuals: Min 1Q Median 3Q Max-0.60942 -0.19875 -0.01902 0.21727 0.66378 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept)-0.3977 0.1680-2.367 0.0251 palprebal 3.0800 0.1506 20.453 <2e-16 Residual standard error: 0.308 on 28 degrees of freedom Multiple R-Squared: 0.9373, Adjusted R-squared: 0.935 F-statistic: 418.3 on 1 and 28 DF, p-value: < 2.2e-16 > confint(fm1) 2.5 % 97.5 % (Intercept) -0.7418897 -0.05358811 palprebal 2.7715014 3.38843310 > anova(fm1) Df Sum Sq Mean Sq F value Pr(>F) palprebal 1 39.686 39.686 418.32 < 2.2e-16 Residuals 28 2.656 0.095 > unlist(predict(fm1, list(palprebal = 1), se = TRUE)) fit se.fit df residual.scale 2.68222835 0.05676328 28.00000000 0.30800881 > qt(c(0.05, 0.025, 0.01, 0.005), df = 28, lower = FALSE) [1] 1.701131 2.048407 2.467140 2.763262 Statistics 224, lecture 1 (Bates) Midterm 2 2007-11-14 (p. 2) Data from the paper “Evaluation of the Deuterium Dilution Technique Against the Test Weighing Procedure for the Determination of Breast Milk Intake” ( Amer. J. Clinical Nutrition , 1983:996-1003) on the amount of milk ingested by each of 14 randomly selected infants is shown below. For each infant the milk intake at a feeding was measured by the Isotropic method and by the test-weighing method....
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Practice Exam 2 - Statistics 224 lecture 1(Bates Midterm...

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