The accompanying data file contains 20 observations on the binary response variable y along with the predictor variables x₁ and x₂.

a-1. Estimate the linear probability model.

Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

Predictor Variable Linear Model

Constant _________________ ___________

x1 _________________ _____________

x2 _________________ _____________

a-2. Use the above estimates to compute y^ for x₁=12, and x₂ = 8.

Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places. Report the probability between 0 and 1 (not in %).

y = _________

b-1. Estimate the logistic regression model.

Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

Predictor Variable Logistic Model

Constant _________________ ___________

x1 _________________ _____________

x2 _________________ _____________

b-2. Use the above estimates to compute y^ for x₁=12, and x₂ = 8.

Note: Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places. Report the probability between 0 and 1 (not in %).

y = __________

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