Weibull++ Equation Fit Solver Example - Revision history

Richard House at 07:55, 7 August 2012

2012-08-07T07:55:51Z

Richard House at 07:21, 6 August 2012

2012-08-06T07:21:00Z

← Older revision		Revision as of 07:21, 6 August 2012
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	'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.		'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.

	[[Image: Equation Fit Solver Data.png~~\|thumb~~\|center\|500px]]		[[Image: Equation Fit Solver Data.png\|center\|500px]]


	'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.		'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.
	[[Image: Equation Fit Solver Function.png~~\|thumb~~\|center\|~~400px~~]]		[[Image: Equation Fit Solver Function.png\|center\|250px]]


	'''Step 3:''' Click '''Calculate'''. The following picture shows the results.		'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
	[[Image: Equation Fit Solver Result.png~~\|thumb~~\|center\|500px]]		[[Image: Equation Fit Solver Result.png\|center\|500px]]


	'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.		'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.

	[[Image: Equation Fit Solver Prediction.png~~\|thumb~~\|center\|~~400px~~]]		[[Image: Equation Fit Solver Prediction.png\|center\|200px]]


	'''Step 5:''' The following plot shows the fitted model and the observed values.		'''Step 5:''' The following plot shows the fitted model and the observed values.
	[[Image: Equation Fit Solver Plot.png~~\|thumb~~\|center\|500px]]		[[Image: Equation Fit Solver Plot.png\|center\|500px]]

Richard House at 07:47, 3 August 2012

2012-08-03T07:47:49Z

← Older revision		Revision as of 07:47, 3 August 2012
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	'''Step 3:''' Click '''Calculate'''. The following picture shows the results.		'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
	[[Image: Equation Fit Solver Result.png\|thumb\|center\|~~400px~~]]		[[Image: Equation Fit Solver Result.png\|thumb\|center\|500px]]


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	'''Step 5:''' The following plot shows the fitted model and the observed values.		'''Step 5:''' The following plot shows the fitted model and the observed values.
	[[Image: Equation Fit Solver Plot.png\|thumb\|center\|~~400px~~]]		[[Image: Equation Fit Solver Plot.png\|thumb\|center\|500px]]

Richard House at 07:47, 3 August 2012

2012-08-03T07:47:27Z

← Older revision		Revision as of 07:47, 3 August 2012
Line 51:		Line 51:
	'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.		'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.

	[[Image: Equation Fit Solver Data.png\|thumb\|center\|~~400px~~]]		[[Image: Equation Fit Solver Data.png\|thumb\|center\|500px]]

Kate Racaza: proofread

2012-07-23T07:26:55Z

proofread

← Older revision		Revision as of 07:26, 23 July 2012
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	{{Banner Weibull Examples}}		{{Banner Weibull Examples}}
	{{Weibull++ Equation Fit Solver Example}}		'''Weibull++ Equation Fit Solver Example'''

			The Equation Fit Solver can be used to perform linear and nonlinear regression. For example, assume that 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 that 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 model is not a standard degradation model in Weibull++; however, the problem can be solved by using the Equation Fit Solver.


			'''Solution:'''

			'''Step 1:''' Insert an Equation Fit Solver folio in your project and enter the given data in the folio, as shown next.

			[[Image: Equation Fit Solver Data.png\|thumb\|center\|400px]]


			'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.
			[[Image: Equation Fit Solver Function.png\|thumb\|center\|400px]]


			'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
			[[Image: Equation Fit Solver Result.png\|thumb\|center\|400px]]


			'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.

			[[Image: Equation Fit Solver Prediction.png\|thumb\|center\|400px]]


			'''Step 5:''' The following plot shows the fitted model and the observed values.
			[[Image: Equation Fit Solver Plot.png\|thumb\|center\|400px]]

Lisa Hacker at 12:04, 17 July 2012

2012-07-17T12:04:03Z

← Older revision		Revision as of 12:04, 17 July 2012
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	{{Banner Weibull Examples}}		{{Banner Weibull Examples}}
	{{Weibull++ Equation Fit Solver Example}}		{{Weibull++ Equation Fit Solver Example}}

	~~[[Category:Weibull++ Examples]]~~

Lisa Hacker at 10:12, 17 July 2012

2012-07-17T10:12:13Z

← Older revision		Revision as of 10:12, 17 July 2012
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	{{Banner Weibull Examples}}		{{Banner Weibull Examples}}
	{{Weibull++ Equation Fit Solver Example}}		{{Weibull++ Equation Fit Solver Example}}

			[[Category:Weibull++ Examples]]

Lisa Hacker at 10:11, 17 July 2012

2012-07-17T10:11:42Z

← Older revision		Revision as of 10:11, 17 July 2012
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	{~~\| class="FCK__ShowTableBorders" border="0" cellspacing="0" cellpadding="0" align="center"; style="width:100%;"~~		{{Banner Weibull Examples}}
	\|-
	~~\| valign="middle" align="left" bgcolor=EEEDF7\|[[Image:~~ Weibull-Examples~~-banner.png\|400px\|center]]~~
	\|}
	~~<br>~~
	{{Weibull++ Equation Fit Solver Example}}		{{Weibull++ Equation Fit Solver Example}}

Nikki Helms at 17:55, 23 March 2012

2012-03-23T17:55:50Z

← Older revision		Revision as of 17:55, 23 March 2012
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			{\| class="FCK__ShowTableBorders" border="0" cellspacing="0" cellpadding="0" align="center"; style="width:100%;"
			\|-
			\| valign="middle" align="left" bgcolor=EEEDF7\|[[Image: Weibull-Examples-banner.png\|400px\|center]]
			\|}
			<br>
	{{Weibull++ Equation Fit Solver Example}}		{{Weibull++ Equation Fit Solver Example}}

Harry Guo: Created page with '{{Weibull++ Equation Fit Solver Example}}'

2012-03-07T17:15:32Z

Created page with '{{Weibull++ Equation Fit Solver Example}}'

New page

← Older revision		Revision as of 07:55, 7 August 2012
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	The Equation Fit Solver can be used to perform linear and nonlinear regression. For example, assume that an engineer collected the following degradation data.		The Equation Fit Solver can be used to perform linear and nonlinear regression. For example, assume that an engineer collected the following degradation data.

	{\| \| border="1" ~~class~~="~~wikitable~~" style="~~margin~~: ~~1em auto 1em auto~~"		{\| border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
	\| align="center" style="background:#f0f0f0;"\|'''Time'''		\| align="center" style="background:#f0f0f0;"\|'''Time'''
	\| align="center" style="background:#f0f0f0;"\|'''Reading'''		\| align="center" style="background:#f0f0f0;"\|'''Reading'''
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	*y is the degradation reading.		*y is the degradation reading.


	This model is not a standard degradation model in Weibull++; however, the problem can be solved by using the Equation Fit Solver.		This model is not a standard degradation model in Weibull++; however, the problem can be solved by using the Equation Fit Solver.


	'''Solution:'''		'''Solution:'''
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	[[Image: Equation Fit Solver Data.png\|center\|500px]]		[[Image: Equation Fit Solver Data.png\|center\|500px]]


	'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.		'''Step 2:''' Enter the degradation equation in the control panel and name it “My Degradation Equation,” as shown next.
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	'''Step 3:''' Click '''Calculate'''. The following picture shows the results.		'''Step 3:''' Click '''Calculate'''. The following picture shows the results.
	[[Image: Equation Fit Solver Result.png\|center\|500px]]		[[Image: Equation Fit Solver Result.png\|center\|500px]]


	'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.		'''Step 4:''' You can use the '''Calculate Y given X''' area on the control panel to make predictions. For example, the predicted Y value at X=100 is 176.2424.

	[[Image: Equation Fit Solver Prediction.png\|center\|200px]]		[[Image: Equation Fit Solver Prediction.png\|center\|200px]]


	'''Step 5:''' The following plot shows the fitted model and the observed values.		'''Step 5:''' The following plot shows the fitted model and the observed values.
	[[Image: Equation Fit Solver Plot.png\|center\|500px]]		[[Image: Equation Fit Solver Plot.png\|center\|500px]]