spr09_ex1 - STA 6127 Spring 2009 Exam 1 PRINT Name _ A...

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STA 6127 – Spring 2009 – Exam 1 PRINT Name __________ A regression model is fit, relating a dependent variable Y to 3 predictors: X 1 , X 2 , X 3 in the model: E(Y) = α + β 1 X 1 + β 2 X 2 + β 3 X 3 . If the regression is based on a sample size of 25 individuals, how large will the F-statistic need to be reject H 0 : β 1 2 3 =0 at the 0.05 significance level? F must be LARGER or SMALLER than ________________________ In a 2-factor ANOVA, with factor A at 3 levels, and factor B at 2 levels, write out the regression model that allows for main effects of factors A and B, as well as their interactions: E(Y) = _________________________________________________________ You find the following regression output in your department’s computer lab. Unstandardized Standard Coefficient - b Error t Sig. (Constant) 25.00 5.00 5.00 0.0001 X1 2.50 1.00 2.50 0.0212 X2 1.25 0.80 1.56 0.1339 X3 0.60 0.60 1.00 0.3293 Suppose you wanted to test H 0 : β 2 3 =0 at the 0.05 significance level. What do you conclude? Reject H
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spr09_ex1 - STA 6127 Spring 2009 Exam 1 PRINT Name _ A...

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