f2009_ex2 - STA 6207 Exam 2 Fall 2009 PRINT Name All...

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STA 6207 – Exam 2 – Fall 2009 PRINT Name ____________________________ All Questions are based on the following 2 regression models, where SIMPLE REGRESSION refers to the case where p =1, and X is of full column rank (no linear dependencies among predictor variables). ( 29 ( 29 I 0 ε β X ε Y 2 2 1 1 0 , ~ 1 ' ' : 2 Model , 0 ~ ,..., 1 : 1 Model σ ε β N p p n NID n i X X Y i i ip p i i × × + = = + + + + = Show that for simple regression, when we have n i observations at the i th distinct level of X, the Pure error sum of squares can be written as ( 29 i in i i c i i i Y Y S S n SSPE ,..., of variance sample the is where 1 1 2 1 2 = - = An experiment was conducted to study the relationship of between yield from a chemical reaction (y) and the reaction temperature (x). The following data were obtained from n=12 runs. The fitted equation based on n=12 runs was Y-hat = 92.68-0.15x. Complete the table by filling in values for X=100. Level(i) 1 2 3 4 5 6
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f2009_ex2 - STA 6207 Exam 2 Fall 2009 PRINT Name All...

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