.. _book_fig_chapter8_fig_regression_mu_z:


Cosmology Regression Example
----------------------------
Figure 8.2

Various regression fits to the distance modulus vs. redshift relation for a
simulated set of 100 supernovas, selected from a distribution
:math:`p(z) \propto (z/z_0)^2 \exp[(z/z_0)^{1.5}]` with :math:`z_0 = 0.3`.
Gaussian basis functions have 15 Gaussians evenly spaced between z = 0 and 2,
with widths of 0.14. Kernel regression uses a Gaussian kernel with width 0.1.



.. image:: ../images/chapter8/fig_regression_mu_z_1.png
    :scale: 100
    :align: center


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