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