Consider the binary response variable y and predictor variable x. The following table contains the parameters of the linear probability model(LPM) and the logistic regression model, with the corresponding P-value shows in the parenthesis.

Variable	LPM	Logistic
Intercept	-0.72 (0.04)	-6.20 (0.04)
X	0.05 (0.06)	0.26 (0.02)

1. Test for the significance of the intercept and the slope coefficient at the 5% level in both models.

2. What is the predicted probability implied by the linear probability model for x=20 and x=30?

3. What is the predicted probability implied by the logistic model for x=20 and x=30?