This makes no sense to me since we usually want more degrees of freedom and the t-and F-distributions reflects this by demanding smaller critical values for significance. The tables I have found only display 1-30 degrees of freedom for the Chi-square which seems odd given that t- and F-distribution tables usually show at least 100+ as that would be the standard if you have a decently large dataset to subtract number of variables and constant from the number of observations to get your degrees of freedom.
Can anyone make it clear to me how I should read such a table (just click the first Google search picture and you will see the same). Or tell me if I have completely lost it. I get that it looks different in a graph but the values makes no sense.