The accompanying data file contains 20 observations on the binary response variable y along with the predictor variablesx₁andx₂.

a-1.Estimate the linear probability model.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

a-2.Use the above estimates to computeyy^forx₁=12, andx₂= 8.(Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Note: Report the probability between 0 and 1 (not in %). b-1.Estimate the logistic regression model.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

b-2.Use the above estimates to computeyy^forx₁=12, andx₂= 8.(Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) Note: Report the probability between 0 and 1 (not in %).

y	x1	x2
0	14.44	13.93
1	18.45	3.16
0	5.45	8.51
0	10.77	10.04
1	11.21	10.02
1	8.31	9.50
1	13.09	2.66
1	19.72	9.61
1	18.06	9.24
1	8.13	9.32
0	6.26	4.19
0	5.31	10.89
1	19.83	3.33
1	7.00	7.27
1	9.77	5.66
0	19.83	13.03
0	9.87	8.06
0	6.31	8.99
1	17.01	10.60
1	4.59	8.08