Company XYZ wants to study the relationship between two process parameters (Proc
ID: 3130542 • Letter: C
Question
Company XYZ wants to study the relationship between two process parameters (Process Temperature and Process Speed) and the product quality characteristic (Product PSI).
The following 16 random samples were collected from the test run.
Sample No.
Process Temperature
Process Speed
Product PSI
1
80
8
210.6
2
93
9
219
3
100
8
227.6
4
82
10
214.3
5
90
8
218
6
99
7
221.8
7
81
9
210
8
96
8
225.9
9
94
7
221.4
10
93
10
222.9
11
97
9
229
12
95
8
221.4
13
100
8
225.4
14
85
7
216.7
15
86
9
215.9
16
87
8
217.8
Perform the adequate analysis and recommend the idea setting for the process parameter.
Here are the assumptions:
Produce PSI follows a normal distribution.
The higher the Product PSI, the better quality of the product.
The range of the process temperature is (80, 102).
The range of the process speed is (6, 11).
Sample No.
Process Temperature
Process Speed
Product PSI
1
80
8
210.6
2
93
9
219
3
100
8
227.6
4
82
10
214.3
5
90
8
218
6
99
7
221.8
7
81
9
210
8
96
8
225.9
9
94
7
221.4
10
93
10
222.9
11
97
9
229
12
95
8
221.4
13
100
8
225.4
14
85
7
216.7
15
86
9
215.9
16
87
8
217.8
Explanation / Answer
Here we test using the following R code
psi=c(210.6,219,227.6,214.3,218,221.8,210,225.9,221.4,222.9,229,221.4,225.4,216.7,215.9,217.8)
shapiro.test(psi)
Here the p value of the test is 0.8663
PSI be the response and Process Temperature and Process Speed be the predictors then the model is given by
PSi = 141 + 0.761 Process speed + 0.793 Process temp
using minitab stat-regression-regression
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