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Answered) aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ISE 4623/6623 - Engineering Statistics II


You have to know minitab. Please hlep me with this study guide

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ISE 4623/6623 – Engineering Statistics II aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
(10 pts) Bonus
Question: What is the name of the course instructor for Engineering Statistics 2? A.aaaaaaaaaaaa
Linkan Bian
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Lincoln Brian
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C. Linkan
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D. Lincoln
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Michael Scott 1. (15 pts) The table below summarizes experiment data from a study with two factors.
Factor B
Factor A
Low
High Low High 1 2.5 2 2.5 3 2 3 3 A. (5pts) Calculate the main effect of factor A. B. (5pts) Calculate the main effect of factor B. 2 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
ISE
4623/6623 – Engineering Statistics II
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa C. (5pts)
aaaaa Calculate the effect of interaction between A and B. 3 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
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ISE
4623/6623 – Engineering Statistics II aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa 2. (20pts)
AAAAA The effective life of insulating fluids at an accelerated load of 35 kV is being studied.
Test data have been obtained for four types of fluids. The resulting design of experiments is
shown below:
Fluid Type Life (in hr.) at 35 kV Load 1 17.6 18.9 16.3 17.4 20.1 21.6 2 16.9 15.3 18.6 17.1 19.5 20.3 3 21.4 23.6 19.4 18.5 20.5 22.3 4 19.3 21.1 16.9 17.5 18.3 19.8 A. (5pts) Write down the population model (General Linear model) for the design of
experiments and set of assumptions. AAAA Complete the following Analysis Of Variance table (ANOVA). = 0.10
B. (10pts) Source
Fluid Type DF SS MS 30.165 Error
Total 96.158 4 F P-Value AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE 4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAA C. (5pts)
AAA Based on your ANOVA, do different types of fluids have different effects on the lifetime? 5 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE
4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 3. (20pts)
AAAAA A mechanical engineer is studying the thrust force developed by a drill press. He
suspects that the drilling speed and the feed rate of the material are the most important
factors. He selects four speed rates and uses a high and low drill speed chosen to represent the
extreme operating conditions. He obtains the following results.
Feed rate (B)
Drill Speed (A) 0.015 0.030 0.045 0.060 2.70 2.45 2.60 2.75 2.78 2.49 2.72 2.86 2.83 2.85 2.86 2.94 2.86 2.80 2.87 2.88 125 200 A. (5pts) What kind of design of experiment he used in this study? B. (5pts) Write down the population model and set of assumption. 6 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE 4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAA Complete the ANOVA table and answer the questions of interest. = 0.05. Are the
C. (10pts) effects of drilling speed, feed rate, and interactions significant?
Source DF SS 0.148225 0.092500 × 0.041875 0.020800 Total 0.303400 MS P-VALUE
0.000 0.030833 0.003
0.026 0.002600 7 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE 4623/6623 – Engineering Statistics II
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV 4. (10pts)
WWWW Using the data below:
∑ = 38.74, ∑2 = 224.33, ∑ = 136.5, ∑2 = 3029.88
Weight (X) Mileage (Y) 8.0
24.50
27.0
14.50
28.50
12.75
21.25 7.69
4.97
4.56
6.49
4.34
6.24
4.45 A. (5pts)
MMMMCalculate the least-square estimate of the slope and intercept. MMM Predict the mileage with a weight of 15.
B. (5pts) 8 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE 4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 5. (35 pts) Read the Minitab output on page 11 and answer the following questions. Assume = 5%.
A. (5 pts) What is the mathematical expression of the full regression model? B. (5 pts) Formulate the hypothesis testing corresponding to the row of anxiety in the
ANOVA table? What is your conclusion? C. (5 pts) What is the standard error for the regression coefficient of severity? D. (5 pts) Test the significance of regression. 9 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE
4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA E. (5 pts) Is the full regression model adequate? Justify your answers. F. (5 pts) What is the model recommended by ANOVA? Justify your answers. G. (5 pts) Name four methods of model selection other than ANOVA. Explain the
advantages and disadvantages of each method. 10 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
ISE 4623/6623 – Engineering Statistics II
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA Regression Analysis: satis versus age, severity, anxiety, sur.med
Method
Categorical predictor coding (1, 0) Analysis of Variance
Source
Regression
age
severity
anxiety
sur.med
Error
Total DF
4
1
1
1
1
20
24 Adj SS
9739.3
3387.7
971.5
75.4
1.0
1038.9
10778.2 Adj MS
2434.82
3387.67
971.47
75.44
0.99
51.95 F-Value
46.87
65.21
18.70
1.45
0.02 P-Value
0.000
0.000
0.000
0.242
0.892 Model Summary
S
7.20745 R-sq
90.36% R-sq(adj)
88.43% R-sq(pred)
84.76% Coefficients
Term
Constant
age
severity
anxiety
sur.med
1 Coef
143.87
-1.117
-0.586
1.31 SE Coef
6.04
0.138
0.136
1.08 T-Value
23.80
-8.08
-4.32
1.21 P-Value
0.000
0.000
0.000
0.242 VIF
1.94
1.44
1.69 0.41 3.01 0.14 0.892 1.07 Regression Equation
sur.med
0 satis = 143.87 - 1.117 age - 0.586 severity + 1.31 anxiety 1 satis = 144.28 - 1.117 age - 0.586 severity + 1.31 anxiety Fits and Diagnostics for Unusual Observations
Obs
9
R satis
75.00 Fit
93.13 Resid
-18.13 Std Resid
-2.82 R Large residual 11

 


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