Multiple Regression

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Hey everyone,

Does anyone know the steps that minitab or any other stats software does to eliminate variables when doing forward selection, backward elimination, or standard(general) stepwise regression and best subsets regression on a set of data. I'm not sure if the correlation coefficients are tested for significance or not. Or if its just trial and error. I have to do this by hand and I don't know the steps. I think that:
1) Start with the independent variable that has the highest correlation with the dependent variable.
2) Test the slope of that independent variable for signficance (I use t-stat or p-value with 0.05 significance level).
3) Take the variable that has the second highest correlation with the dependent variable, test, and so on.
Please tell me if I'm not making sense!
This is the only way I can think of but it does not match my output from minitab.
Could someone tell me where I'm going wrong? It would be much appreciated. Thanks.
 
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