Thank you, there surely is a lot of ways, but fit seems most suitable at first glance. The resulting curves monthly averages are very close to the original monthly averages.

Indeed the correct data is: tave=:_7.3 _6.6 _1.8 3.6 11.1 17.1 19.8 17.1 11.3 4.7 _1.3 _5.0

Anssi

At 22:19 8.6.2007, you wrote:
There's all kinds of curve fitting.

For example, here's a fairly trivial fit that might or might not be
close to what you are looking for:

extend=: +/ .*&2 _1@(2&{.) , ] , +/ .*&_1 2@(_2&{.)
zero=: {. -:@+ {:
ct=: 2 o. 1r29p1*i.30
fit=: 15 }. _15 }. [: , 2&((zero + ct * zero - {:)\)@extend

Here's a somewhat different approach, emphasizing appearance:

arbitraryConstant=:300
curve=:3 :0
 rough=.30#y
 basis=.^((*-)  -/~ i.#rough)%arbitraryConstant
 shape=.basis +/ .*basis%.rough
 max=.(i.>./)|shape
 shape*rough%&(max&{)shape
)

Contrast:
  plot (curve tave),(fit tave),:30#tave

(As an aside, I'm no expert on curve fitting issues.)

--
Raul
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