## Inference on Two Variables

The multiple linear regression model

- Response (dependent variable) for 's;
- 1st predictor (1st explanatory variable) for 's;
- 2nd predictor (2nd explanatory variable) for 's.

The standard error for the estimate gives rise to the null hypothesis

*t*-distribution with degrees of freedom. Thus, we reject at significance level if . By computing the p-value we can equivalently reject if .