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Direct Method of Interpolation: Linear Interpolation

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Uploaded by on Feb 4, 2009

Learn the direct method of linear polynomial interpolation

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Education

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Uploader Comments (numericalmethodsguy)

  • omg! I just thought up a way to do this in less than one minute!!!! Omg just find one fifth of the difference between the intervals, so that would be 517.35 - 362.78 = 154.57. then: 154.7/5 = 30.914, then just add this to the value of the lower interval, 15: so: 30.914 + 362.78 = 393.694 which rounds to 393.7. I can do it with that other method too, and solve the matrix equation and do it like that but is there a reason for interpolation as opposed to just doing what I did which is easier?

  • @Doctorwhorage The linear direct method is to setup the basis for doing direct method interpolation using higher order polynomials. You should look at the Newton Divided Difference polynomial method playlist at the numericalmethodsguy channel for your approach!

  • How can I get the  -100.93 ?

  • @YoZZgAtLiii66 Solve the two equations and two unknowns. You could use Gaussian elimination method. Go to numericalmethods(dot)eng(dot)u­sf(dot)edu and click on Keyword> Gaussian Elimination > Textbook chapter.

  • Hi!,

    is that formula v(t)=a0 + a1*t

    same as the equation of regression line???

  • @DaruiAkaBlackNinja It is a straight line in this case, but let's not confuse regression with interpolation.

Top Comments

  • Made in the USA - a rarity nowadays!

    University of South Florida.

  • Excellent instruction, but I'm sure the drop outs might have stuck around if you helped them work out this particular set of matrices? Nah! XD

    This takes me back to my college days, ain't like riding a bike though.. gotta keep working at it to stay a master for sure.

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All Comments (29)

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  • @MOSQUEPERROS Feeding "x + 15y=362.78,x+20y=517.35" to WolframAlpha gives the same result as the video.

  • @Nnoshah this is used in newtons divided differences (but I'm retarded and can't get -100 anywhere out of this)

  • 1:57 let's see what it's all about

  • @MOSQUEPERROS Please put down your matlab code for me to look at!

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