Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118802250
Author: Montgomery
Publisher: WILEY
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Chapter 14, Problem 80SE
a.
To determine
Find the estimated the factor effects.
b.
To determine
Identify a model for the data from this experiment using a normal probability plot.
c.
To determine
Test the significance of the factor identified in part (b) at 0.05 level of significance.
d.
To determine
Find the model used to describe the process based on the experiment.
Interpret the model.
e.
To determine
Analyze the residuals from the model in part (d) and comment on the findings.
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1. Find the mean of the x-values (x-bar)
and the mean of the y-values (y-bar) and write/label each here:
2. Label the second row in the table using proper notation; then, complete the table. In the fifth and sixth
columns, show the 'products' of what you're multiplying, as well as the answers.
X
y
x minus x-bar y minus y-bar (x minus x-bar)(y minus y-bar)
(x minus x-bar)^2
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4. Find the slope of the Regression line: bi
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(simplify your answer)
5. Find the y-intercept of the Regression line, and then write the equation of the Regression line.
Show your work. Then, BOX your final answer. Express your line as "y-hat equals...
Apply STATA commands & submit the output for each question only when
indicated below
i.
Generate the log of birthweight and family income of children. Name
these new variables Ibwght & Ifaminc. Include the output of this
code.
ii. Apply the command sum with the detail option to the variable
faminc. Note: you should find the 25th percentile value, the 50th
percentile and the 75th percentile value of faminc from the output -
you will need it to answer the next question Include the output of this
code.
iii.
iv.
Use the output from part ii of this question to Generate a variable
called "high_faminc" that takes a value 1 if faminc is less than or
equal to the 25th percentile, it takes the value 2 if faminc is greater
than 25th percentile but less than or equal to the 50th percentile, it
takes the value 3 if faminc is greater than 50th percentile but less than
or equal to the 75th percentile, it takes the value 4 if faminc is greater
than the 75th percentile. Include the outcome of this code…
solve this on paper
Chapter 14 Solutions
Applied Statistics and Probability for Engineers
Ch. 14.3 - 14-1. An article in Industrial Quality Control...Ch. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - 14-4. An experiment was conducted to determine...Ch. 14.3 - Prob. 5ECh. 14.3 - 14-6. Johnson and Leone (Statistics and...Ch. 14.3 - 14-7. An article in the IEEE Transactions on...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10E
Ch. 14.3 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.5 - Prob. 14ECh. 14.5 - 14-15. Four factors are thought to influence the...Ch. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - 14-19. An experiment was run in a semiconductor...Ch. 14.5 - Prob. 20ECh. 14.5 - Prob. 21ECh. 14.5 - 14-22. A 24 factorial design was run in a chemical...Ch. 14.5 - Prob. 23ECh. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - Prob. 29ECh. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - Prob. 32ECh. 14.5 - 14-33. An article in Analytica Chimica Acta...Ch. 14.5 - Prob. 34ECh. 14.5 - 14-35. The book Using Designed Experiments to...Ch. 14.6 - 14-36. Consider the data from the first replicate...Ch. 14.6 - Prob. 37ECh. 14.6 - Prob. 38ECh. 14.6 - Prob. 39ECh. 14.6 - 14-40. Consider the data from the first replicate...Ch. 14.6 - Prob. 41ECh. 14.6 - 14-43. An article in Quality Engineering...Ch. 14.6 - Prob. 44ECh. 14.6 - Prob. 45ECh. 14.6 - 14-46. An article in Advanced Semiconductor...Ch. 14.6 - Prob. 47ECh. 14.6 - Prob. 48ECh. 14.7 - Prob. 49ECh. 14.7 - Prob. 50ECh. 14.7 - Prob. 51ECh. 14.7 - Prob. 52ECh. 14.7 - 14-54. An article in Quality Engineering [“A...Ch. 14.7 - Prob. 56ECh. 14.7 - Prob. 57ECh. 14.7 - Prob. 58ECh. 14.7 - 14-59. An article in the Journal of...Ch. 14.7 - Prob. 60ECh. 14.7 - Prob. 61ECh. 14.7 - Prob. 62ECh. 14.8 - Prob. 63ECh. 14.8 - 14-64. An article in Quality Engineering [“Mean...Ch. 14.8 - 14-65. Consider the first-order model
where −1 <...Ch. 14.8 - 14-66. A manufacturer of cutting tools has...Ch. 14.8 - Prob. 67ECh. 14.8 - 14-68. In their book Empirical Model Building and...Ch. 14.8 - 14-69. Consider the first-order model
y = 12...Ch. 14.8 - Prob. 73ECh. 14.8 - Prob. 74ECh. 14 - Prob. 75SECh. 14 - Prob. 76SECh. 14 - Prob. 77SECh. 14 - Prob. 78SECh. 14 - Prob. 79SECh. 14 - Prob. 80SECh. 14 - Prob. 81SECh. 14 - Prob. 82SECh. 14 - Prob. 83SECh. 14 - 14-84. Construct a design in 16 runs. What are...Ch. 14 - Prob. 85SECh. 14 - Prob. 87SECh. 14 - Prob. 88SECh. 14 - Prob. 89SECh. 14 - 14-90. An article in Biotechnology Progress (2001,...Ch. 14 - 14-93. The rework time required for a machine was...Ch. 14 - Prob. 94SECh. 14 - Prob. 95SECh. 14 - Prob. 97SECh. 14 - Prob. 98SECh. 14 - Prob. 99SECh. 14 - 14-101. Consider an unreplicated 2k factorial, and...Ch. 14 - Prob. 102SECh. 14 - Prob. 103SECh. 14 - Prob. 104SECh. 14 - Prob. 105SECh. 14 - Prob. 106SECh. 14 - Prob. 107SECh. 14 - 14-108. Set up a 27 − 4 design using D = AB, E =...Ch. 14 - Prob. 109SE
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