Question: A researcher wants to see whether there is a relationship between the number of absences and the final grades (on a scale of 0 to 10) earned by students in a statistics course. She selected ten students and collected data on the number of absences of these ten students (X = Independent variable) and their final grades (Y=Dependent variable). The following are the summary of the data:

(a) Find the regression line \(\hat{y}={{b}_{0}}+{{b}_{1}}x\), that is, find b₀ and b₁.

(b) What percentage of the variation in Y is explained by X?

(c) Conduct the appropriate statistical test of hypotheses to check whether the linear relationship between and X is significant. Use \(\alpha \) = 0.05.