Exponential relationship between data points; trying to find matching equation

Question

I have a list of data points that I'm trying to find an equation to
To be honest, I can't remember where to begin. It's been years since I did this kind of stuff. Is there an online site that can do a good job finding an equation that accurately represents these points?

x: 6
y: 0

x: 3
y: 0

x: 2
y: 0

x: 6/4
y: -42

x: 6/5
y: -84

x: 6/6
y: -126

x: 6/7
y: -168

x: 6/8
y: -210

x: 6/9
y: -253

x: 6/10
y: -295

x: 6/11
y: -337

x: 6/12
y: -379

Thanks for any help

Answer 1

Have you sketched in the points in a diagram ? Does it look like that there is a exponential relation between x and y ? In general you should try a exponential regression.

The equation is $\hat y=a\cdot e^{b\hat x}$

It can be transformed into a linear equation by taking the logarithm on both sides.

$ln(\hat y)=ln(a)+ b\hat x$

Now you can use the method of linear regresssion. There are several information in the WWW.