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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% RSq(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
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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 yintercept. If it is not possible to give a i . ‘1. “11““!
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. 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.
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ﬁlmy; A 3/ 2 J & rt. . .1.) 2. Define quality. (2 pts) _ i“ . l" .
62.9%! may {’53 “hfmi“ ”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 pchart 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 prerequisite for this course (Le. AP Stat in high
school, 261, transfer course, etc)? (2 pts) ...
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 Fall '11
 Dr.Weese

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