Hw5b_solution

Hw5b_solution - HOMEWORK 5-B SOLUTIONS 1>...

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Unformatted text preview: HOMEWORK 5-B SOLUTIONS 1) > cast<-read.csv("castdata.csv",header=TRUE) > plot(cast) Based on the scatterplot matrix, “GateDiam” most affects the variable “BatchTime”. Furthermore, dots in “GateDiam” vs “BatchTime” plot has a nonlinear pattern. Therefore, we conclude that “GateDiam” has a nonlinear relationship with “BatchTime”. 2) > cast.multi<-lm(BatchTime~., data=cast) > cast$residual <-cast.multi$residual > plot(cast) > summary(cast.multi) Call: lm(formula = BatchTime ~ ., data = cast) Residuals: Min 1Q Median 3Q Max -230.044 -71.338 -7.585 58.405 391.439 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 3761.22 395.12 9.519 2.85e-15 *** GateDiam -1039.72 96.54 -10.770 < 2e-16 *** CupHeight -38.53 34.66 -1.112 0.2693 SprueHeight 20.66 24.27 0.851 0.3968 RiserDiam 58.23 25.58 2.276 0.0252 * SprueDiamBot 131.52 110.66 1.189 0.2377 SprueDiamTop 130.74 79.57 1.643 0.1039 RiserHeight 25.22 31.72 0.795 0.4287 Riser1Pos -31.85 35.64 -0.894 0.3739 Riser2Pos -20.28 28.98 -0.700 0.4859 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 130.5 on 90 degrees of freedom Multiple R-Squared: 0.5877, Adjusted R-squared: 0.5465 F-statistic: 14.26 on 9 and 90 DF, p-value: 4.936e-14 > extractAIC(cast.multi) [1] 10.0000 983.7433 The AIC value for this model is 983.7433. > plot(cast.multi) 0.00 0.05 0.10 0.15 0.20-2-1 1 2 3 Leverage Standardized residuals lm(BatchTime ~ .) Cook's distance Residuals vs Leverage 77 65 28 3400 3500 3600 3700 3800 3900 4000...
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Hw5b_solution - HOMEWORK 5-B SOLUTIONS 1>...

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