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How to fit Log[] data in Mathematica?
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Karen Bindash
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PostPosted: Fri Jul 25, 2008 11:03 am    Post subject: How to fit Log[] data in Mathematica? Reply with quote

have some data consisting of xy pairs {{x1,y1},{x2,y2},{x3,y3}...}

data = {{10, 34.2}, {30, 36.7}, {100, 38.2}, {300, 39}, {1000,
39.6}, {3000, 40}, {10000, 40.4}, {30000, 40.6}, {100000,
408}, {300000, 41.1},{1000000,41.2}}

As you can see, x ranges from 10 to 1000000 as y ranges from 34.3 to
41.2.

1) How can I plot y against Log[10,x] ? i.e. I want the x-axis to go
from 1 to 6, and the y axis from 32 to 42. I think the graph will not
be too far from straight.

2) How can I create a fit on the assumption that y = a + b Log[10,x] +
c*Log[10,x)^2 + d Log[10,x]^3
anyone any concrete examples for thi.
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