hw01 - STA 6208 Spring 2004 Homework 1 Due Friday,...

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Unformatted text preview: STA 6208 Spring 2004 Homework 1 Due Friday, 1/16/2004 (in-class, no late assignments will be accepted) The following data represent random samples of size n = 12 from the statistical model (note that everyone has the same X levels, but the Y values were generated from this model): Y i = + 1 X i + i i = 1 , . . ., 12 i NID (0 , 2 ) Complete the following parts by hand, as well as using PROC REG in SAS : Obtain least squares estimates of and 1 . Obtain an unbiased estimate of 2 . Obtain the Analysis of Variance Obtain estimated standard errors for and 1 . Test whether 1 = 0 based on the t- and F-tests (use = 0 . 05 significance level). Give a 95% Confidence Interval for E [ Y | X = 20]. Give a 95% Prediction Interval for the next outcome, given X will be 20. RPD Chapter 1 Problems: 1,2,3,6,7,8,11,12,14,15,16,22,23 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12-------------------------------------------------------------------------...
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hw01 - STA 6208 Spring 2004 Homework 1 Due Friday,...

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