PROBABILITY & STATS FOR ENGINEERING &SCI
9th Edition
ISBN: 9781285099804
Author: DEVORE
Publisher: CENGAGE L
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Chapter 13.4, Problem 43E
a.
To determine
Find the predicted value for surface area when cobalt is 2.6 and the temperature is 250.
Find its corresponding residual value.
b.
To determine
Whether it is reasonable to interpret that there will be a decrease in the surface area by 46 units if the cobalt content increases by 1 unit by holding other variables constant.
c.
To determine
Identify whether there is a linear relationship between response and the predictors.
d.
To determine
Test the significance of
e.
To determine
Find the 95% confidence interval for the true response when temperature is 500 and the cobalt content is 2.
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5.1 Byers and Williams (Viscosities of Binary and Ternary Mixtures of Polyaromatic
Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349 – 354, 1987)
studied the impact of temperature (the regressor) on the viscosity (the response) of
toluene - tetralin blends. The following table gives the data for blends with a 0.4 molar
fraction of toluene.
+
Temperature (°C)
Viscosity (mPa·s)
1.133
24.9
35.0
0.9772
44.9
0.8532
55.1
0.7550
65.2
0.6723
75.2
0.6021
85.2
0.5420
95.2
0.5074
a. Plot a scatter diagram. Does it seem likely that a straight line model will be adequate?
5.1 Byers and Williams (Viscosities of Binary and Ternary Mixtures of Polyaromatic
Hydrocarbons," Journal of Chemical and Engineering Data, 32, 349 – 354, 1987)
studied the impact of temperature (the regressor) on the viscosity (the response) of
toluene- tetralin blends. The following table gives the data for blends with a 0.4 molar
fraction of toluene.
Temperature (°C)
Viscosity (mPa·s)
24.9
1.133
35.0
0.9772
44.9
0.8532
55.1
0.7550
65.2
0.6723
75.2
0.6021
85.2
0.5420
95.2
0.5074
c. Basic principles of physical chemistry suggest that the viscosity is an exponential
function of the temperature. Repeat part b using the appropriate transformation based
on this information.
Chapter 13 Solutions
PROBABILITY & STATS FOR ENGINEERING &SCI
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