#### Comprehension

You are given a multiple linear regression model: Y=β0+β1×1+β2×2+β3×3

Recall that the null hypothesis states that the variable is insignificant. Thus, if we fail to reject the null hypothesis, you can say that the predictor is insignificant.

For example, if you fail to reject the null hypothesis for x1, you can say that x1 is insignificant. This would also imply that the coefficient for x1, i.e., β1 = 0.

In other words, the null hypothesis tests if the predictor’s coefficient, i.e., βi = 0. If the null hypothesis is rejected, then βi≠0.