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Quiz 5 Solutions

# Quiz 5 Solutions - DSC 203 Quiz 5 | 20 points | Name Keel 1...

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Unformatted text preview: DSC 203 Quiz 5 | 20 points | 10/5/11 Name: Keel 1. A simple quadratic regression model has been fit to data relating the mileage obtained by cars (y) and the amount of an additive used in gasoline (x) expressed in the number of units. The Minitab output is listed below. The entire data set is shown in the screen capture. The regression equation is Mileage Predictor Coef SE Coef T Constant 25.7152 0.1554 165.43 Units 4.9762 0.1841 27.02 Unite_sq —1.01905 0.04414 —23.09 s 3 0.286079 R—Sq = 98.6% R-Sq(adj) Analysis of Variance Source DF 83 MS Regression 2 67.915 33.958 414. Residual Error 12 0.982 0.082 Total 14 68.89? a. the curvature. (2pts) 2’ 21.31:“) ii‘ iii» if}. a...» x l. 0. 0. O. 25.7 + 4.98 Units — 1.02 UnitS_sq P 000 000 000 H F 92 98. P 0.000 Sketch the relationship between these two variables, in other words, describe practical interpretation explain why. (2 pts) 15 the coefficient next to ”Units” (x) a slope? If not what is it? (2 pts) Give a practical interpretation of the y-intercept. If it is not possible to give a i . ‘1. “11““! Brace. ‘>< :- C) #:2 faﬂfirmﬂed Mi "Wife. fear” 1‘“ . P i , “ti/”lei“. .6 == We w. M‘ be + Q. 57- Q 3;: TIME. Qﬁiwrnelrserﬁ . w. f l . mfg“ . j. no ﬁtﬂﬂﬁiti“iifﬁf m +‘ne 3.1:: d. Predict the mileage when 3.5 units of additive are added to the gasoline. (2 pts) as. if“ ﬁlmy; A 3/ 2 J & rt. . .1.)- 2. Define quality. (2 pts) _ i“ . l" . 62.9%! may {’53 “hf-mi“ ”fat/f“ use... i 3. Quality is inversely proportional to Vﬁﬁmbtli (“‘7’ . (2 pts) _ —“‘“'/ ‘_' 4. Suppose the centerline of a p—chart is 0.4 and n=100. Calculate the UCL and LCL. (4 pts) \$5 : Ox 7 n 2 m ”w wa—Aw‘" A; 2’ /’ 00:. _— 0.5% t 5. Look at the p-chart below. Are there any assignable causes affecting the fraction of nonconformities? How can you tell? (2 pts) r. i “L ‘n. X ° ' '53 . 3M3. imﬁlé— /€J) 9. €524.) Gare, “fl/00 fax/it‘s Odtbich; +349» [tassel 6. How long ago (in years) did you take the pre-requisite for this course (Le. AP Stat in high school, 261, transfer course, etc)? (2 pts) ...
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