The accompanying data file contains 20 observations on the binary response variable y along with the explanatory variables x1 and x2.
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
1 18.06 9.24
0 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 8.08a-1. Estimate the linear probability regression model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
constant: ____
x1: ______
x2: ______
a-2. Use the above estimates to compute yˆy^ for x1 = 12, and x2 = 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 %).
ŷ = _____________
b-1. Estimate the logistic regression model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
constant: ____
x1: ______
x2: ______
b-2. Use the above estimates to compute yˆy^ for x1 = 12, and x2 = 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 %).
ŷ = _____________