Calculating t-statistics and p-values
In this section, we will apply our knowledge of how to ascertain whether the variables have a strong relationship to predict new values with a regression model. The complexity, in this case, is that we are not working with just one predictive variable. Now, we are working with two or more variables in a multiple linear regression model.
The statistical probes to determine the significance of the relationship are as follows:
- Determination coefficient
- Correlation coefficient
- t-statistics
- p-value
To find the coefficients, we have to review the distances between the average of the expected values and the linear model.
Figure 10.8 is the 3D chart of the variations we saw in the previous chapter. The errors or unexplained variations (sum of squares errors (SSEs)) are the distance between the expected values and the linear...