spr08_ex1

# spr08_ex1 - STA 6127 Spring 2008 Exam 1 PRINT Name _ True...

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STA 6127 – Spring 2008 – Exam 1 PRINT Name ___________________________________ True or False: If we fit the regression model E(Y) = α+ β 1 X 1 + β 2 X 2 then if the least squares estimate b 2 (of the parameter β 2 ) is positive, then the partial correlation between Y and X 2 , controlling for X 1 must be positive. In a multiple regression model with k=3 predictor variables, when we fit the full model, it is impossible to fail to reject both H 0 : β 2 =0 and H 0 : β 3 =0, but reject the test of H 0 : β 2 = β 3 =0. A researcher plans to select random samples of 10 students from academic departments in her field at each of 3 colleges (UCF, USF, FSU). Her goal is to compare the mean scores on a skills test among the populations of all students within these 3 departments. She will conclude that the population mean scores are not all equal (at the α =0.05 significance level) if the F-statistic from her Analysis of Variance is at least 3.354 (2.960). All else being the same, as we increase the number of pairs of groups to compare in the 1-Way ANOVA, the larger the critical t-value will be for constructing simultaneous 95% Confidence Intervals for all pairs of means. In multiple comparisons following a 1-Way ANOVA, it is impossible to conclude

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## This note was uploaded on 01/20/2012 for the course STA 6127 taught by Professor Mukherjee during the Spring '08 term at University of Florida.

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spr08_ex1 - STA 6127 Spring 2008 Exam 1 PRINT Name _ True...

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