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So I'm attempting to come up with governing equations for the data in the table below. Once I came up with one that works, I'm completely stuck on that solution, and am having difficulty coming up with more. I was curious to see what some of the math wizards of OT thought...here's the table:
Edited By: trouble Jan 26th, 2011 at 03:23 PM
edit: adsfasdf jumbled data
Here's the data:
domain (1, 2, 3, ?, ?, 6)
range (8, 14, ?, 24, 28, ?) -
I could probably figure this out if I knew what it is I had to do.
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Sorry. That looked rough. I'm looking for equations that work for this data set. They have to be functions (one and only one y for every x).
For example, the one I figured out is y = 6x + 2. I'm looking for further unique solutions. -
Just cheat...especially since you probably go to MSU....its too early in the day for math related activities
Edited By: CookMeSomeGrits Jan 26th, 2011 at 03:26 PM -
So you need an equation of a line that include all those data points?
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Yes, essentially. There are probably lots of correct answers, and I'm having a difficult time coming up with any that aren't the first one I described. If you just plot points on a graph and then derive an equation, you'll get what I got (I think...). Given that there are only six data points, and it doesn't have to work for all real numbers, it should be possible to have many solutions. It's really not that big of a deal, I was just curious what others here with math knowledge (like you) thought about it.
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My calculator spat out this for an equation:
Originally Posted by trouble
So I'm attempting to come up with governing equations for the data in the table below. Once I came up with one that works, I'm completely stuck on that solution, and am having difficulty coming up with more. I was curious to see what some of the math wizards of OT thought...here's the table:
edit: adsfasdf jumbled data
Here's the data:
domain (1, 2, 3, ?, ?, 6)
range (8, 14, ?, 24, 28, ?)
-1/3x^2 + 7x + 4/3
Which gives a table of:
domain (1, 2, 3, 4, 5, 6)
range (8, 14, 58/3, 24, 28, 94/3) -
You need to think of polynomials. I forget how to come up with a polynomial equation from data points, but if youre taking this class, you should be able to find that section in whatever chapter youre studying.
Edited By: Jaybone2315 Jan 26th, 2011 at 03:57 PM
Make up numbers for the unknowns, and come up with equations. Im pretty sure thats how it works. I havent done this is years and I dont feel like reteaching it to myself to help you lol. -
lofuckingl dodgingjets...thankyou
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I'm confused - it looks like you only have 2 complete data points. You can fit those with any curve you want and you should be able to solve them analyitcally as long as they have 2 constants. For example, I tried something that looks like Ax^2+Bx=y, then I plugged in x=1, y=8 to get one equation and x=2, y=14 to get another. Solve the 2 equations for A & B and you get A=-1, B=9 so -x^2+9x=y.
Maybe I'm not understanding the problem? -
are the sequences locked? does 1 have to correspond to 8 and 2 to 14, ect or can you jumble it?
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hmmm well skyroller nailed it already.
for y = 2x^2 + 6
domain: (1, 2, 3, 3, sqrt(11), 6)
range: (8, 14, 24, 24, 28, 78)
you're repeating x=3 but it works.
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