Homework1Key

# Homework1Key - Spring 2012 STAT 512 HW 1 Key Homework 1(9...

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Spring 2012 STAT 512 HW 1 Key 1 Homework 1 (9 pts.) due Jan. 20 A reminder Please do not hand in any unlabeled or unedited SAS output. Include in your write-up only those results that are necessary to present a complete solution (what you want the grader to grade). In particular, questions must be answered in order (including graphs), and all graphs must be fully labeled (main title should include the question number, and all axes should be labeled). Don’t forget to put all necessary information (see course policies) on the first page. Include the SAS input for all questions at the very end of your homework; this could be important even though it won’t be graded. You will often be asked to continue problems on successive homework assignments so save all your SAS code. 1. (4 pts.) A regression analysis relating test scores (Y) to training hours (X) produced the following fitted equation: = 25 0.5x. a) What is the fitted value of the response variable corresponding to x = 7? = 25 (0.5)(7) = 21.5 b) What is the residual corresponding to the data point with x = 3 and y = 30? e i = 30 [25 (0.5)(3)] = 6.5 c) If x increases 3 units, how does ŷ change ?

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