Final answer:
To determine if the equation represents a significant relationship between variables, compare the p-value against α = 0.05. If the p-value is less than α, the equation is significant, otherwise, it's not.
Step-by-step explanation:
The student's question involves testing the significance of a relationship between independent variables and a dependent variable using an equation derived from the data. This falls under the field of statistics within Mathematics.
When testing for significance at α = 0.05 (where α represents the level of significance), the p-value obtained from statistical analysis is compared with α to make a decision regarding the null hypothesis (H0). If the p-value is less than α, as shown in the provided example where the p-value equals 0.0113, the null hypothesis is rejected, leading to the conclusion that there is a significant relationship between the variables in question. On the other hand, if the p-value is greater than α, there is insufficient evidence to reject the null hypothesis, thus concluding that the relationship is not significant.