# sol2 - Stat 201A HW2 Solution 1(a The scatter plot below...

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Unformatted text preview: Stat 201A HW2 Solution 1. (a) The scatter plot below shows that nozzle designs affect the shape factor differently. The anova table is Df Sum Sq Mean Sq F value Pr(>F) as.factor(velocity) 5 0.062867 0.012573 4.3886 0.0073642 ** as.factor(nozzle) 4 0.102180 0.025545 8.9162 0.0002655 *** Residuals 20 0.057300 0.002865 Nozzle design has a significant effect on shape factor (p-value=.00027). ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 1 2 3 4 5 0.8 1.0 nozzle shape ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● 15 20 25 0.8 1.0 velocity shape (b) The t values are nozzle 1 nozzle 2 nozzle 3 nozzle 4 nozzle 5 nozzle 1 0.00 2.32 3.88 5.23 1.02 nozzle 2-2.32 0.00 1.56 2.91-1.29 nozzle 3-3.88-1.56 0.00 1.35-2.86 nozzle 4-5.23-2.91-1.35 0.00-4.21 nozzle 5-1.02 1.29 2.86 4.21 0.00 The critical value for the Tukey method is q . 05 , 5 , 20 / √ 2 = 2 . 99, so nozzle designs 1 and 3, 1 and 4, 4 and 5 are different. (c) The plots shown below do not give any indication of serious problems. There is some indication of a mild outlier (case 19) on the normal Q-Q plot and on the plot of residuals...
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sol2 - Stat 201A HW2 Solution 1(a The scatter plot below...

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