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tsitos45

1 Posts

Posted - 03/25/2012 :  6:26:08 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
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Greedings,

In one of my projects I inserted the values of x,y and error y. I have got to make a diagram of x- lny, so I have make a new column and set it as lny. What I have to do with the error in the new column? Set a new column as error y and then set as ln(error y) or is anything else?

Thank you

easwar

USA
1964 Posts

Posted - 03/26/2012 :  10:11:31 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

You should use error propagation formula to calculate the error of the transformed y:


f(y)=ln(y)
df/dy = (d/dy)*ln(y)*delta_y
      = (1/y)*delta_y


So if your original y and delta_y are in cols B and C, add two new columns D and E, and set them as follows:


col(d)=ln(col(b));
col(e)=(1/col(b))*col(c);


To verify this, you can transform backwards:


g(y)=exp(y)
dg/dy = (d/dy)exp(y) * delta_y
      = exp(y) * delta_y


Add two more columns F and G, and set them as below:


col(f)=exp(col(d));
col(g)=exp(col(d)) * col(e);

and this should give you back your original y and dy

Easwar
OriginLab

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