Finding an equation from given coordinates(data)

[Guest]

(x) value (y) value
0 ------------------>0.5
0.02--------------->1
0.04---------------->1.75
0.05--------------->2
0.06--------------->2.5
0.08--------------->4
0.1---------------->7
0.12--------------->10.5
0.14--------------->17.5
0.15--------------->25
0.16--------------->33.5
0.17--------------->45

I am trying to find out the equation that the data above would produce if plotted in an x/y axis. The equation is an exponential function.

Any hints how I would go about this one?

 

[galactus]

Use Excel to generate graphs and equations.

The closer R^2 is to 1, the more accurate the best fit line.

 

[Guest]

thank you Galactus

You are out of this world!

 

[Unco]

y = Ae^(kx) (A, k constants to be determined) implies log(y) = kx + C (C some constant) so, by hand, plotting log(y) vs x will give you a straight line from which you can get k and hence A.