A chemical engineer is investigating the effect of process operating temperature
ID: 3151210 • Letter: A
Question
A chemical engineer is investigating the effect of process operating temperature on product yield. The study results in the data given below; use your knowledge of least squares regression to construct a linear model for predicting yield from temperature.
a) The mean of Temperature is in the range:
60-70
70-80
80-90
90-100
100-110
110-120
120-130
130-140
140-150
150-160
b) The mean of Yield is in the range:
60-70
70-80
80-90
90-100
100-110
110-120
120-130
130-140
140-150
150-160
c) The standard deviation of Yield is in the range:
0-5
5-10
10-15
15-20
20-25
25-30
d) The intercept of the fitted regression line is closest to:
9.40
2.03
0.473
-1.87
e) The slope of the fitted regression line is closest to:
9.40
2.03
0.473
-1.87
f) The yield predicted by the regression model for a temperature of 150 degrees is closest to:
65.435
74.596
72.520
69.075
73.803
g) The residual error for a temperature of 150 degrees is closest to:
+0.03
-5.52
+5.52
-0.11
+0.11
h) If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the slope would change by a factor of:
0.35274
1/0.35274
would not change
None of the above.
i) If the yield were measured in ounces instead of grams (note that 1 gram is 0.35274 ounces), the correlation coefficient would increase by a factor of:
0.35274
1/0.35274
would not change
None of the above.
a.60-70
b.70-80
c.80-90
d.90-100
e.100-110
f.110-120
g.120-130
h.130-140
i.140-150
j.150-160
Explanation / Answer
From Excel
a) Mean Temp range is 140-150
b) Mean yield Range is 60-70
c)standard dev range for Yield is 10-15
d) From Excel
Intercept= -1.7097
e) Slope =0.4715
Temp Yield 100 43.6215 110 46.6231 120 58.2752 130 58.8906 140 65.4354 150 74.596 160 72.5202 171 79.0639 180 83.628 190 84.4351 Means= 145.1 66.7089 stds= 30.36976 14.6038Related Questions
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