# Regression Analysis Using SAS

Analysis of a Fitted Multiple Regression Model

If your “best model” selected in the previous chapter contains more than one x-variable, run that regression model in SAS. If it only has one x-variable, use the best model that had more than one x-variable. Answer the following questions.

1. Analysis of Output
(a) The t-tests
(i) What is being tested?
(ii) What are the results of the tests? (Careful, these are partial coefficients.)

(b) The F-test

``````(i) State the null and alternate hypotheses for your model.
(ii) State the conclusion of the test and the grounds for the decision.
``````

(c) The -equation

``````    (i) State the equation for your fitted model;
(ii) Explain how is related to the E(YX).
``````
1. R-square
(a) Report the value of R-square;
(b) Show how it was computed from the software output;
(c) Explain the meaning of your R-square using the approach found in Lecture Notes 5.
(d) Give the naïve interpretation of your R-square, as discussed on LN5.
(a) Report the value of the adjusted R-square;
(b) Show how it was computed from the output;