finalexam07 - CARLETON UNIVERSITY FINAL EXAMINATION...

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CARLETON UNIVERSITY FINAL EXAMINATION December 2007 DURATION : 3 hours No . of Pages No . of Students : 85 Department Name Course Number : Mathematics and Statistics STAT3503*A Course Instructor ( s ) Dr.Shirley E. Mills THIS EXAMINATION MAY NOT BE RELEASED TO THE LIBRARY . STUDENTS MUST HAND IN THIS EXAMINATION PAPER WITH THEIR EXAMINATION BOOKLET ( S ). AUTHORIZED MEMORANDA Electronic calculator permitted . Formula sheet , two - sided , 8.5” x 11” SAS code and output are attached . Section Value Mark Part I 47 Part II 16 Part III 17 Total. 80 .
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STAT3503 Final Examination December 2006 Page 2 PART I [ 47 marks ] There are two production lines for making soap. The amount of soap scrap ( Y ) and the line speed ( X 1 ) are recorded in the table below, along with variable X 2 which indicates which production line the data point represents. { X 2 u 1 for Line 1 and X 2 u 0 for Line 2.) Use the SAS output that is attached to this examination paper to answer the questions concerning this dataset . Production Line 1 Production Line 2 Amount of Scrap, Y i Line Speed, X i 1 X i 2 218 100 1 248 125 1 360 220 1 351 205 1 470 300 1 394 255 1 332 225 1 321 175 1 410 270 1 260 170 1 241 155 1 331 190 1 275 140 1 425 290 1 367 265 1 Amount of Scrap, Y i Line Speed, X i 1 X i 2 140 105 0 277 215 0 384 270 0 341 255 0 215 175 0 180 135 0 260 200 0 361 275 0 252 155 0 422 320 0 273 190 0 410 295 0 a)[4 marks] Using the SAS output , give the equation for the full regression model of Y on X 1,. X 2, and the interaction term X 1 u X 2 . NOTE : X 3,. u X 1 u X 2 . b)[1 mark] Interpret the meaning of the coefficient of X 1 u X 2 . c) [6 marks] Using the model in ( a ), show the necessary calculations to give the simultaneous 95% confidence interval estimates for the average amount of soap scrap for Line Speed of 200 for each of Production Line 1 and Production Line 2. ( DO NOT
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finalexam07 - CARLETON UNIVERSITY FINAL EXAMINATION...

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