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CS404_Final_Exam_121702

CS404_Final_Exam_121702 - CSc 401 Data Mining Final Exam...

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CSc 401 – Data Mining Name:______________________________ Final Exam December 13, 2002 Score:________________________________/100 Directions: Carefully answer each of the following questions. This is an open-book, open-note exam. You may use calculators but you may NOT use computers. [You need maintain only 2 decimal places in your calculations.] You are NOT to get help from others. Points will be assigned on answer quality as well as answer correctness. CLEARLY show all work. PUT YOUR NAME AT THE TOP OF EACH PAGE. Note: The final consists of two parts: Lect 14 homework (20 pts) and this in-class exam (80) pts. 1. Suppose you are trying to fit the model X Y 1 ^ 0 ^ ^ β β + = to the following data: x y 1 1.8 1.1 2 1.3 2.2 1.5 2.8 a.) Calculate 1 ^ 0 ^ , β β Clearly show all work. [6 pts] yMean = 8.8/4 = 2.2 xMean = 4.9/4 = 1.225 Beta 1 = ((-.225*-.4)+(-.125*-.2)+(.075*0)+(.275*.6))/(.05+.016+.006+.076) =(.09+.25+.165)/.148=3.41 Beta 0 = 2.2 – 3.41*1.225=-1.98 b2c8404a7ab56bd425c33498ffa317e906c3c06f.doc - 1
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b.) Compute R 2 Clearly show all work. [4 pts.] X Y 1 ^ 0 ^ ^ β β + = = -1.98 + 3.41x R 2 = (.5929+.184+.064+.874) / (.16+.04+0+.36)=1.715/.56=3.06 b2c8404a7ab56bd425c33498ffa317e906c3c06f.doc - 2
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c.) Complete the analysis of variance table shown below. Clearly show all work and indicate the source of each of the values. [10 pts] df SS MS F F from table Regression 1 1.715 1.715/1 0.263 Residual 2 13.026 13.026/2=6.51 Total 4 19.92 [Note: F-distribution chart is contained at the end of this document.
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