Consider a binary response variable y and a predictor variable x. The following table contains the parameter estimates of the linear probability model (LPM) and the logistic regression model, with the associated p-values shown in parentheses. a. Test for the significance of the intercept and the slope coefficients at the 5% level in both modeis: b. What is the predicted probability implied by the linear probability model for x=19 and x=22 ? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in % ). b. What is the predicted probability implied by the linear probability model for x=19 and x=22 ? Note; Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in % ). c. What is the predicted probability implied by the logistic regression model for x=19 and x=22 ? Note: Round intermediate calculations to at least 4 decimat places and final answers to 2 decimal places. Report the probability between 0 and 1 (not in % )