exam1_2009 - STA 6167 Exam 1 Spring 2009 PRINT Name Use...

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STA 6167 – Exam 1 – Spring 2009 PRINT Name ______________________________________ Use α =0.05 for all problems A regression model is fit, relating a response (Y) to 3 predictors (X 1 , X 2 , X 3 ) based on n=40 individuals. Two models are fit: Model1: E(Y) = β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 SSE 1 = 2000 Model2: E(Y)= β 0 + β 1 X 1 + β 2 X 2 + β 3 X 3 + β 11 X 1 2 + β 22 X 2 2 + β 33 X 3 2 + β 12 X 1 X 2 + β 13 X 1 X 3 + β 2 3 X 2 X 3 SSE 2 =1400 Test whether all quadratic terms and interaction terms do not contribute above and beyond the effects of X 1 , X 2 , and X 3 . H 0 : _________________________________________ Test Statistic: Reject H 0 if the test statistic falls above / below ______________________________________ For a 1-Way ANOVA, based on 3 treatments, and 30 subjects per treatment, give the Treatment and Error Degrees of Freedom: Df Trt = ______________________ df Err = ______________________________ An experiment is conducted to compare the effects of 4 types of fertilizer on the growth of a particular plant. A sample of 8 locations (blocks) in a large yard are selected and 4 plants are planted at each location. At each
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