Unknown Variable

[cnt]

Hello, I would like some help figuring out what the missing variable is in this problem, and what the solution to the variable is:

1 = 2.02
2 = 4
3 = 5.94
4 = 7.83
5 = 9.69
6 = 11.51
7 = 13.28
8 = 15.01
9 = 16.71
10 = 18.36
11 = 19.97
12 = 21.54

Thank you!

 

[Steven G]

Hello, I would like some help figuring out what the missing variable is in this problem, and what the solution to the variable is:

1 = 2.02
2 = 4
3 = 5.94
4 = 7.83
5 = 9.69
6 = 11.51
7 = 13.28
8 = 15.01
9 = 16.71
10 = 18.36
11 = 19.97
12 = 21.54

Thank you!

Is this a riddle??

 

[cnt]

Sorry, I don't know how to expressive this with variables I was kind of hoping someone would know what I was trying to figure out.

Basically as the numbers on the left go up, the numbers on the right go up but on a curve.

So, should it look something like this?:

1x/y = 2.02
2x/y = 4
3x/y = 5.94

and so on..

Would I be incorrect in putting it that way?

 

[cnt]

I think what I'm asking for is what is the formula for this curve?

 

[cnt]

Sorry the more I question this, the more I see that I've asked my question incorrectly.

Question: A curve runs through the following points:
1,2.02
2,4
3,5.94
4,7.83
5,9.69
6,11.51
7,13.28
8,15.01
9,16.71
10,18.36
11,19.97
12,21.54

What is the formula of this curve?

 

[stapel]

Sorry the more I question this, the more I see that I've asked my question incorrectly.

Question: A curve runs through the following points:
1,2.02
2,4
3,5.94
4,7.83
5,9.69
6,11.51
7,13.28
8,15.01
9,16.71
10,18.36
11,19.97
12,21.54

What is the formula of this curve?

What methods have you been taught for curve-fitting? For instance, are you supposed to be "using technology", such as a spreadsheet or your graphing calculator? Are you supposed to be finding an exact fit, or just a "best" fit (regression)?

When you reply with that information, please include a clear statement of your efforts thus far. Thank you!

 

[Steven G]

Sorry the more I question this, the more I see that I've asked my question incorrectly.

Question: A curve runs through the following points:
1,2.02
2,4
3,5.94
4,7.83
5,9.69
6,11.51
7,13.28
8,15.01
9,16.71
10,18.36
11,19.97
12,21.54

What is the formula of this curve?

Now I understand. You have 12 points so you need 12 variables and can generate 12 equations using your 12 points above in

y=a1 + a2x + a3x^2 + ... + a12x^11.

Alternatively (as already mentioned) use the method taught in class.

 

[HallsofIvy]

Given any finite number of points, there exist an infinite number of graphs that run through those points. As Jomo pointed out, given n points, there exist a unique polynomial of degree n-1 whose graph passes through those points. Is that what you want? If so you might look up "Lagrange interpolation" for a quicker method of determining the coefficients.