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The Q-Q plot is the graphical representation of the
quantiles of a specific distribution. It compares the
cumulated distribution of the observed variable with
the normal cumulated distribution
In case of multiple linear regression with several input variables to evaluate the goodness of the
model we can use the Aikake Information Criterion, it associates a score for a given combination of
included input variables and it chooses the combination with the lowest score.
Likelihood function
We consider independent and identically distributed (iid) observations coming from the same
density function with unknown parameters.
What we have: assumed density function and iid observations
What we don’t have: parameters
How to estimate them: calculating the likelihood
The likelihood is defined by the product of the density function over the iid observation; in each
factor of the product the value is known, thus the likelihood function L depends on the unknown