2. Binary regression model (X: Girth, Y: Fat) with intercept is considered. Answer to the following questions using the data set (BodyFat_hw). You can download this data set from Sogang cyber campus. (1) Report mean, median, and standard deviation of Girth and Fat in a table. (2) Make a scatter plot with a regression line (X: Girth, Y: Fat) (3) Obtain regression output and ANOVA tables (4) Check if square of sample correlation coefficient ( r ) equals 2 R . (5) Interpret the estimated slope value. (6) Interpret the t-test result for the significance of slope. (7) Interpret the F-test, and check if square of the t-statistic for the slope equals F-statistic. (8) Make a residual plot. Can you find strong heteroscedastic pattern? (9) Find unusual observations using leverage points and studentized deleted residuals. (10) Carry out the Shapiro-Wilks test for the residuals, and interpret the results. (11) Carry out the Durbin-Watson test for the residuals, and interpret the results. (12) Carry out the BP-test for the residuals, and the interpret the results.

Girth	Fat
99.1	19.0
76.0	8.4
83.1	9.2
88.5	21.8
118.0	33.6
104.3	31.7
79.5	6.4
108.8	24.6
81.9	4.1
76.6	12.8
88.7	12.3
90.9	8.5
89.0	26.0
78.0	7.3
83.2	13.4
85.6	22.3
90.3	20.2
104.5	16.8
95.6	18.4
103.1	27.7
89.9	17.4
104.0	26.4
95.3	11.3
105.0	27.1
83.5	17.2
86.7	10.7
93.0	18.1
76.0	13.7
106.1	28.1
109.3	23.0
104.3	30.8
100.5	16.5
77.9	7.4
101.6	18.2
99.7	25.1
96.7	16.1
95.8	30.2
104.8	25.4
92.4	25.9
95.0	21.6
86.0	8.8
90.6	19.5
105.5	31.0
79.4	10.4
126.2	33.1
98.0	20.2
95.5	21.9
73.7	11.2
86.4	10.9
122.1	45.1