[Scenario]Suppose you are part of a research team that is studying the relationship between theprice of a homeand thedistance to the nearest public school.Your study involves a regression analysis.In your study, you also will control for other factors related to this X-Y relationship.

(a)Which variable would be more appropriate to be the dependent variable?Theprice of a homeor thedistance to the nearest public school?Explain why.(4 points)

(b)If you use regression analysis to study the link between theprice of a homeand thedistance to the nearest public schoolwhat would be your null and alternative hypotheses?Write out the H0 and H1 using only words (and no mathematical symbols or equations).(4 points)

(c)Suppose you test the hypotheses that you listed in part (b) and obtain a p-value equal to 7%.In words, explain what 7% means.[Note:Do not simply say reject or fail to reject H0.I want you to explain the literal meaning of a 7% p-value](5 points).