The table below shows the twodimensional frequency distribution of a sample of 80 persons in a study about the relation between the blood cholesterol (X) in mg/dl and the high blood pressure (Y) in mmHg. )A 2540 Final Exam, Page 3 of 3 8:3010:30 130Y 4150) 150 170) [-170X,190) [190 210) 12 [210 230) [230 250) ____1- (a) (5 points) Complete the table. (b) (5 points) Construct the linear regression model of Y using X. (c) (5 points) According to the linear model, What is the expected cholesterol for a person with high blood pressure 160 mmHg? ((1) (5 points) Perform the X2test for the contingency table and argue whether X and Y are independent or not at a = 0.05. [You may use 9823,1331 = 16.81.] You may use 1.3:; = 16960 mg/dl, 21. yi = 11160 mmHg, 2%. w? = 3627200(mg/dl)2, 21. y? = 1576800n1n1Hg and Zimiy = 2378800 mg/dl mmHg