Apply a transformation on variables to get linear relationship

Asked Sep 11 '15 at 13:38

Active Sep 11 '15 at 13:38

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Have a look at the plot below (let's assume the vertical axis is called 'y' and the horizontal axis is called 'x'). This is how my two variables are related. I was wondering whether it would be possible to apply a transformation on one of my variables in order to get a more linear relationship? I tried taking the log, but this still gives poor results. The (shortened) dataset looks like this

x    y
1    21.905933
2    12.341214
5    6.601826
10   4.687770
25   3.541561
50   3.224406
100  3.082521
250  2.999060

The goal is to create a linear model with y as dependent variable and x as independent variable.

asked Sep 11 '15 at 13:38

user3387899

2

What does this curve look like to you? Also, is this an assignment? If so, please add the self study tag. – jlimahaverford Sep 11 '15 at 14:20
log difference? – BCLC Sep 11 '15 at 15:31
plot $\log(y-2.95)$ vs $\log(x)$ (or thereabouts) ... but note that this shift-value is effectively an estimated parameter – Glen_b Sep 11 '15 at 16:45
1

There are some good answers to similar questions here and here. – Tony Ladson Sep 13 '15 at 00:39

Apply a transformation on variables to get linear relationship

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