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November 01, 2025, 10:28:06 am

Author Topic: Transformations  (Read 596 times)  Share 

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yr12

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Transformations
« on: May 10, 2010, 05:21:18 pm »
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x      10    20     30    40     50      60     70     80     90   

y      0.3   0.9    2.7   4.8    7.2     11.6  14.9   18.7  24.8

What transformations can be used to linearise?

I ve already done x^2 but I don't have the second one.

Gloamglozer

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Re: Transformations
« Reply #1 on: May 11, 2010, 03:12:28 pm »
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Best way to start would be to roughly plot the graph of y vs. x on paper.  As you can see, it would look something like the positive part of the quadratic (if you're doing Methods as well, a quadratic for x>0).

If you're using Essentials, in chapter 6, there will be a summary of the types of transformations you can use.  I've got the older book (ie. not the TIN/CP version) and it's on page 166 so I'm guessing it would be around page 166.

In this case, besides , you can also use log10y and

EDIT:  Post edited to include more details.
« Last Edit: May 11, 2010, 03:15:35 pm by Gloamglozer »

Bachelor of Science (Mathematics & Statistics) - Discrete Mathematics & Operations Research