finalF99A - COURSE MSCI 3710 Print Name Final Signature...

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Unformatted text preview: COURSE: MSCI 3710 Print Name: Final Signature: Version A S.S.#: SEMESTER: Fall 99 Seat Number: Note: Whenever question(s) are connected you may be asked to assume a result (given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question. Use the information provided below to answer questions 1 through 8. Consumer Reports rates various automobiles by overall injury and by collision-damage results. Ratings can be categorized as follows: Less than 70, substantially better than average; 70-79, better than average; 80-120, average; 121-130, worse than average; and greater than 130, substantially worse than average. Nineteen randomly selected automobiles were chosen; the collected data are as follows. Automobiles Injury Collision A 56 49 B 64 55 C 100 107 D 49 59 E 38 38 F 66 78 G 54 78 H 41 54 I 52 67 J 87 89 K 103 99 L 52 49 M 46 65 N 79 84 O 36 49 P 55 60 Q 77 109 R 55 68 S 36 56 A popular spreadsheet program was used to conduct a regression of “Injury” ratings on “Collision” ratings. The partial results of which are shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.85931253 7 R Square ************** Adjusted R Square 0.72303086 1 Standard Error 10.6866846 1 Observations 19 ANOVA df SS MS F Significance F Regression 1 5480.61638 7 ********** ************ 2.44378E-06 Residual 17 1941.48887 6 114.2052 Total 18 7422.10526 3 Coefficients Std.Error t Stat P-value Lower 95% Upper 95% Intercept 1.95272343 7 8.77441027 8 0.222548 0.82653950 4-16.55968991 20.4651367 8 Collision 0.84455312 6 0.12191447 3 6.927423 2.44378E-06 0.587335714 1.10177053 9 RESIDUAL OUTPUT Observation Predicted Injury Residuals Standard Residuals 1 43.33582662 12.66417338 1.219398473 2 48.40314538 15.59685462 1.501778296 3 92.31990794 7.68009206 0.739494971 4 51.78135788-2.781357883-0.267809312 5 34.04574223 3.954257768 0.38074462 6 67.82786728-1.82786728-0.17600032 7 67.82786728-13.82786728-1.331447363 8 47.55859225-6.558592252-0.631508835 9 58.53778289-6.537782892-0.629505159 10 77.11795167 9.882048331 0.951515293 11 85.56348293 17.43651707 1.67891434 12 43.33582662 8.664173379 0.834249459 13 56.84867664-10.84867664-1.044589278 14 72.89518604 6.104813962 0.58781577 15 43.33582662-7.335826621-0.706346598 16 52.62591101 2.374088991 0.228594509 17 94.00901419-17.00901419-1.637751262 18 59.38233602-4.382336018-0.421963099 19 49.2476985-13.2476985-1.275584505 1. What is the least squares estimate for the slope of the regression line? A. 1.9527 B. 0.12191 C. 0.82654 D. 0.8446 * E. 2.444 2. According to the least squares regression line, when the collision rating increases by 10 units , the injury rating will: A. Increase by 8.446 units.* B. Decrease by 0.8446 units....
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This note was uploaded on 03/09/2011 for the course DSCI 3710 taught by Professor Dr.jay during the Spring '08 term at North Texas.

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finalF99A - COURSE MSCI 3710 Print Name Final Signature...

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