Reply
 
LinkBack Thread Tools Search this Thread Display Modes
  #1   Report Post  
Posted to microsoft.public.excel.worksheet.functions
PAUL GRAZIDE
 
Posts: n/a
Default polynomial equation

I am setting up a calibration curve, where x= concentration and y=
absorbance. The curve is polynomial.

after plotting x and y values using a scattergraph and applying a trend
line, i got the following regression line:
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of x?

Thanks in advance


  #2   Report Post  
Posted to microsoft.public.excel.worksheet.functions
davesexcel
 
Posts: n/a
Default polynomial equation


0.057672821
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of
x?
I am just thinking
A1=B2
B2=-.0881*C1^2+2.8089*C1+.0505
then I went to Tools, Goal seek
set the value of A1 to .212 by changing Cell C1


--
davesexcel
------------------------------------------------------------------------
davesexcel's Profile: http://www.excelforum.com/member.php...o&userid=31708
View this thread: http://www.excelforum.com/showthread...hreadid=519106

  #3   Report Post  
Posted to microsoft.public.excel.worksheet.functions
Gary''s Student
 
Posts: n/a
Default polynomial equation

You are correct davesexcel:

This quadratic has two separate solutions:
one around .0576 and the other around 31.82548752

=(-2.8089+(2.8089^2-4*(-0.0881)*(-0.1615))^0.5)/(2*(-0.0881))
=(-2.8089- (2.8089^2-4*(-0.0881)*(-0.1615))^0.5)/(2*(-0.0881))

--
Gary's Student


"davesexcel" wrote:


0.057672821
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of
x?
I am just thinking
A1=B2
B2=-.0881*C1^2+2.8089*C1+.0505
then I went to Tools, Goal seek
set the value of A1 to .212 by changing Cell C1


--
davesexcel
------------------------------------------------------------------------
davesexcel's Profile: http://www.excelforum.com/member.php...o&userid=31708
View this thread: http://www.excelforum.com/showthread...hreadid=519106


  #4   Report Post  
Posted to microsoft.public.excel.worksheet.functions
Gary''s Student
 
Posts: n/a
Default polynomial equation

Just solve the quadratic equation:

0= -0.0881x^2+2.8089x-0.1615

x=31.82549

see:

http://mathworld.wolfram.com/QuadraticEquation.html
--
Gary''s Student


"PAUL GRAZIDE" wrote:

I am setting up a calibration curve, where x= concentration and y=
absorbance. The curve is polynomial.

after plotting x and y values using a scattergraph and applying a trend
line, i got the following regression line:
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of x?

Thanks in advance



  #5   Report Post  
Posted to microsoft.public.excel.worksheet.functions
davesexcel
 
Posts: n/a
Default polynomial equation


Gary''s Student Wrote:
Just solve the quadratic equation:

0= -0.0881x^2+2.8089x-0.1615

x=31.82549

see:

http://mathworld.wolfram.com/QuadraticEquation.html
--
Gary''s Student


"
[/color]
Well I got that wrong Hmmnn... I wonder why the goal seek didn't work?


--
davesexcel
------------------------------------------------------------------------
davesexcel's Profile: http://www.excelforum.com/member.php...o&userid=31708
View this thread: http://www.excelforum.com/showthread...hreadid=519106



  #6   Report Post  
Posted to microsoft.public.excel.worksheet.functions
Bernard Liengme
 
Posts: n/a
Default polynomial equation

Do NOT copy the polynomial coefficients from the trendline but use LINEST -
see
http://www.stfx.ca/people/bliengme/E...Polynomial.htm
When you look at the quadratic solution, remember only positive x is
meaningful in this situation
best wishes from a chemist
--
Bernard V Liengme
www.stfx.ca/people/bliengme
remove caps from email


"PAUL GRAZIDE" wrote in message
...
I am setting up a calibration curve, where x= concentration and y=
absorbance. The curve is polynomial.

after plotting x and y values using a scattergraph and applying a trend
line, i got the following regression line:
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of x?

Thanks in advance



  #7   Report Post  
Posted to microsoft.public.excel.worksheet.functions
Jerry W. Lewis
 
Posts: n/a
Default polynomial equation

Or if you do use the chart equation, format it to display scientific notation
with 14 decimal places to avoid rounding issues.

More fundamentally, are you sure that a 4- or 5-parameter logistic would not
be a better model for your data than a polynomial?

Jerry

"Bernard Liengme" wrote:

Do NOT copy the polynomial coefficients from the trendline but use LINEST -
see
http://www.stfx.ca/people/bliengme/E...Polynomial.htm
When you look at the quadratic solution, remember only positive x is
meaningful in this situation
best wishes from a chemist
--
Bernard V Liengme
www.stfx.ca/people/bliengme
remove caps from email


"PAUL GRAZIDE" wrote in message
...
I am setting up a calibration curve, where x= concentration and y=
absorbance. The curve is polynomial.

after plotting x and y values using a scattergraph and applying a trend
line, i got the following regression line:
y= -0.0881x^2+2.8089x+0.0505.

If the absorbance reading (y) = 0.212, how do I calculate the value of x?

Thanks in advance




Reply
Thread Tools Search this Thread
Search this Thread:

Advanced Search
Display Modes

Posting Rules

Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
using the equation of a polynomial Vince Excel Worksheet Functions 4 February 10th 06 09:18 PM
Increaseing Precision in polynomial trendline equations KevinW Charts and Charting in Excel 9 January 6th 06 06:41 PM
Polynomial regression - how does Excel do it? (under "Trendline") JH Charts and Charting in Excel 2 January 5th 06 05:07 PM
Equation Editor- problem when editing an equation Gaby L. Excel Discussion (Misc queries) 0 September 27th 05 09:24 PM
Need Help with #N/A in equation mkerstei Excel Discussion (Misc queries) 7 July 29th 05 09:03 PM


All times are GMT +1. The time now is 05:35 PM.

Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
Copyright ©2004-2025 ExcelBanter.
The comments are property of their posters.
 

About Us

"It's about Microsoft Excel"