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Fermentor (from 2013-08-08)

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I wanted to be able to get a good estimate of my final wort volume from the fluid level in the fermentor. I taped apiece of paper_flush with the counter and the fermentor wall_ and I added a cup of water at a time. I shined a flashlight into the liquid so I could see the line and I noted it.

I made a cubic regression in Matlab. Linear looked okay until you looked at the error and saw that the error was not evenly distributed.Quadratic looked fine but I knew from the math, that the volume is related to r^2*h and h is related to r. Basically, a cubic is what the math says. Below is my data and the final Matlabcoefficients:

fermentor_fit

V(h)=c0 + c1h + c2h^2 +c3*h^3

c0:-1.695513348027587

c1:1.399445832910603

c2:0.018361545876323

c3:-0.000225590344486

The data is below:

Height (cm)

Volume (cups)

1.8

1

2.65

2

3.3

3

3.8

4

4.55

5

5.2

6

5.75

7

6.4

8

7.15

9

7.65

10

8.15

11

8.85

12

9.5

13

10.1

14

10.6

15

11.25

16

12.35

18

13.55

20

14.6

22


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Original WP Post ID: 6504

Original WP Pub Date: 2013-08-19_114733