Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 9, Problem 24SE
a.
To determine
Construct an ANOVA table and the find the
b.
To determine
Perform a test to determine whether the additive model is plausible.
Give the value of the test statistic and the P-value.
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х
У
2.6
10.20
5.03
19.9
8.84
0.8
6.62
5.3
2.89
20.3
2.31
39.4
7.13
5.8
3.40
29.4
5.57
2.2
7.23
5.5
2.12
33.1
1.67
44.2
5.33
13.1
16.70
0.6
9.75
2.2
2.74
16.9
2.58
35.5
1.50
48.0
Compute the least-squares line for predicting y from x.
b. Plot the residuals versus the fitted values.
Compute the least-squares line for predicting y from 1/x.
d. Plot the residuals versus the fitted values.
C.
Using the better fitting line, find a 95% confidence interval for the mean value of y
when x= 5.0.
Q3) An experiment was carried out to investigate variation of solubility of chemical X in water. The
quantities in kg that dissolved in 1 liter at various temperatures are show in the table (1).
Table (1)
Temperature C Mass of X
2.1
2.6
2.9
3.3
15
20
25
30
35
4
50
5.1
70
7
Use the proper methods to answer the following questions:
a) Draw a scatter diagram to show the data.
b) Estimate the temperature based on the mass of X.
c) What quantity might be expected to dissolve at 42 C? Find the quantity that your cquation indicates
would dissolve at 10 C and comment on your answer.
Chapter 9 Solutions
Statistics for Engineers and Scientists
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