Significance levels of 0.05 or lower are typically considered significant, and significance levels between 0.05 and 0.10 would be considered marginal. An independent variable that is a significant predictor of a dependent variable in simple linear regression may not be significant in multiple regression.

How do you know if a predictor is significant?

A low p-value (< 0.05) indicates that you can reject the null hypothesis. In other words, a predictor that has a low p-value is likely to be a meaningful addition to your model because changes in the predictor's value are related to changes in the response variable.

How do you determine which variables are statistically significant?

The level of statistical significance is often expressed as a p-value between 0 and 1. The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p-value less than 0.05 (typically ≤ 0.05) is statistically significant.