How to adjust a curve fit such that it goes through a specific point

I have the following plot

we would like to adjust the green curve such that its peak point, the one pointed to by a black arrow, becomes the point shown as a blue star. Rather than only shiffting the curve such that it would pass through that point, we would like to actually adjust it (i.e make it wider or narrower or taller or shorter) whatever the case.

any idea how this might be achieved using matlab?

Thanks a lot in dvance.

I attach the data and the curve fiiting script used.

[Bjorn Gustavsson]

Was my answer good enough to solve your problem? If not what have you stumped?

Answer 1

[Bjorn Gustavsson]

If this is a plot of an electron-density profile observed with an IS-radar, then your ionosonde fOF2 point is (expected to be) a good estimate of the peak ionospheric electron density, and what you do is to calibrate the "total radar system gain" to get the conversion-factor between received power and electon-density. In this case simply multiply the electron-density-values with the ratio between ionosonde-ne and ISR-ne.

Answer 2

[Bruno Luong]

Add blue point as additional data point and associate it a strong weight to the rest (see Weights of options)