Template:Weibull++ Equation Fit Solver Example: Difference between revisions

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'''Weibull++ Equation Fit Solver Example'''
[[Category: For Deletion]]
 
Equation Fit Solver can be used to do linear and nonlinear regression.  Assume an engineer collected the following degradation data.
 
{| | border="1" class="wikitable" style="margin: 1em auto 1em auto"
| align="center" style="background:#f0f0f0;"|'''Time'''
| align="center" style="background:#f0f0f0;"|'''Reading'''
|-
| 5||8.08
|-
| 10||13.52
|-
| 15||21.86
|-
| 20||31.96
|-
| 25||37.86
|-
| 30||46.67
|-
| 35||53.35
|-
| 40||62.29
|-
| 45||71.62
|-
| 50||80.37
|-
| 55||91.43
|-
| 60||104.00
 
|}
 
From the physical mechanism, the engineer knows the degradation path follows the following equation:
::<math>y=a+bx+c\ln (x)</math>
 
where: <br>
 
*x is the time
 
*y is the degradation reading.
 
 
This above model is not a standard degradation model in Webul++. It can be solved using the equation fit solver.
 
 
'''Solution:'''
 
'''Step 1:''' Create an Equation Fit Solver Folio
 
[[Image: Select Equation Fit Solver.png|thumb|center|400px]]
 
'''Step 2:''' Enter the above data into the folio
[[Image: Equation Fit Solver Data.png|thumb|center|400px]]
 
 
'''Step 3:''' Enter the user defined degradation function at the control panel and name it “My Degradation Equation”.
[[Image: Equation Fit Solver Function.png|thumb|center|400px]]
 
 
'''Step 4:''' Calculate it and the results are:
[[Image: Equation Fit Solver Result.png|thumb|center|400px]]
 
 
'''Step 5:''' You can use the “Calculate Y given X” to make prediction. For example, the predicted Y value at X=100 is 176.2424.
 
[[Image: Equation Fit Solver Prediction.png|thumb|center|400px]]
 
 
'''Step 6:'' The plot of the fitted model and the observed values are given as:
[[Image: Equation Fit Solver Plot.png|thumb|center|400px]]

Latest revision as of 07:06, 23 July 2012

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