- #1

Woozah

## Homework Statement

We had a laboration for calculating

**ε_r**in a parallel plate capacitor which we stuffed with plastic plates. All data we picked up was the area A, the distance d (and thus 1/d) and the capacitance C. We are now supposed to use the least squares-method to find

**ε_r**, something we have never done before. She sent us a pdf regarding the least-squares but I am having it extremt hard understanding how to use it.

In an example (an example, so we can check our MATLAB code before using our own data) she has put d=2mm,4mm,6mm,8mm,10mm and C=353pF, 197pF, 141pF, 112pF, 97pF. She now states that using a linear regression you should get k=644pFmm and m=32pF.

## Homework Equations

C=ε

_{0}ε

_{r}A/d

## The Attempt at a Solution

What I don't understand is that if we want to try and find a linear fitting, what will i put as (k) (x) and m?

Since C=ε

_{0}ε

_{r}A/d, I am assuming that my x will be 1/d and k is ε

_{0}ε

_{r}, or am I wrong? No idea how to do this. They had forgotten that we were in the class and had not taken the course in which you learn this.