Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3)
02-14-2014, 02:52 PM (This post was last modified: 02-14-2014 04:11 PM by Han.)
Post: #2
 Han Senior Member Posts: 1,817 Joined: Dec 2013
RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3)
In general your interpolation (and its accuracy) depends on the relationship between the parameters. For your example, if you use $$PV=nRT$$ and pressure $$P$$ is kept constant, then in this case a linear interpolation would be fine since
$V = \underbrace{\frac{nR}{P}}_{\text{slope}} \cdot T$
So since $$n$$, $$R$$ and $$P$$ are constant, then $$V$$ is a linear function of $$T$$. This should enable you to interpolate the volume provided the pressure is fixed at 100k pascals.

Haven't tested this, but using a linear fit with your known values and then using the trace feature should allow you to figure out the interpolated volume.

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 Messages In This Thread Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - DeucesAx - 02-14-2014, 07:46 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Han - 02-14-2014 02:52 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Rich - 02-14-2014, 04:44 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - DeucesAx - 02-14-2014, 09:48 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - patrice - 02-15-2014, 01:21 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - DeucesAx - 02-15-2014, 08:22 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - CR Haeger - 02-15-2014, 10:53 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - patrice - 02-15-2014, 08:46 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Tugdual - 02-15-2014, 12:16 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Tim Wessman - 02-15-2014, 02:51 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Tugdual - 02-15-2014, 03:33 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - CR Haeger - 02-15-2014, 04:44 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Tugdual - 02-15-2014, 05:27 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - DeucesAx - 02-19-2014, 03:16 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Joe Horn - 02-20-2014, 05:46 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Joe Horn - 02-16-2014, 02:03 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - Tugdual - 02-16-2014, 02:13 PM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - rprosperi - 02-21-2014, 01:49 AM RE: Linear Interpolation: Given a pair of (x1,y1), (x2,y2) and x3 predict (x3,y3) - DeucesAx - 02-21-2014, 02:28 AM

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