The director of admissions of a small college selected 120 students at random from the new freshman class in a study to determine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X). The results of the study are in the le HW33 . txt. Test, using the r-test statistic, whether a linear association exists between student's AC T score (X) and GPA at the end ofthe freshman year (Y). Use 0. = 0.01. State the hypotheses, decision rule. and conclusion. Do not use pValue. What is the p-tralue of your test in part 1]? Does it support your conclusion in part f)? Prepare a histogram and a Q-Q plot of the residuals. Do they support the normal distribution assumption? Plot the residuals against the tted values. Does it support the linearity assumption? Conduct the BP test to determine if the homoscedasticity assumption holds. Use 0'. : 0.01 and state your conclusion