What is log-likelihood?

The log-likelihood is the expression that Minitab maximizes to determine optimal values of the estimated coefficients (β).

Log-likelihood values cannot be used alone as an index of fit because they are a function of sample size but can be used to compare the fit of different coefficients. Because you want to maximize the log-likelihood, the higher value is better. For example, a log-likelihood value of -3 is better than -7.