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practiceexam2fall2010

# practiceexam2fall2010 - ISYE6413 Fall 2010 Exam II Dr Kobi...

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ISYE6413 Fall 2010 Exam II Dr. Kobi Abayomi October 20, 2010 You must show all work to receive full credit. 1

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1 Consider an ANCOVA model with two treatments on response Y with covariate X . You get these outputs: Call: lm(formula = y ~ x + factor(t), data = dt) Residuals: 1 2 3 4 5 6 0.5833 0.3333 -0.9167 -1.0833 0.6667 0.4167 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -2.3333 2.1104 -1.106 0.3496 x 2.2500 0.5069 4.439 0.0213 * factor(t)2 6.6667 0.8278 8.054 0.0040 ** --- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 Residual standard error: 1.014 on 3 degrees of freedom Multiple R-squared: 0.9657,Adjusted R-squared: 0.9429 F-statistic: 42.28 on 2 and 3 DF, p-value: 0.006341 and Call: lm(formula = y ~ as.factor(t), data = dt) Residuals: 1 2 3 4 5 6 -1.6667 0.3333 1.3333 -3.3333 0.6667 2.6667 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 6.667 1.394 4.781 0.00877 ** as.factor(t)2 6.667 1.972 3.381 0.02777 * --- Signif. codes: 0 *** 0.001 ** 0.01 * 0.05 . 0.1 1 2
Residual standard error: 2.415 on 4 degrees of freedom Multiple R-squared: 0.7407,Adjusted R-squared: 0.6759 F-statistic: 11.43 on 1 and 4 DF, p-value: 0.02777 Write the general ANCOVA table. Is there a treatment effect? Conduct a test.

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