Consider a binary response variable y and two predictor variables x1 and x2. 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. Variable LPM Logistic Intercept −0.50 −1.90 (0.02) (0.06) x1 0.26 0.99 (0.06) (0.06) x2 −0.06 −0.30 (0.01) (0.04)   What is the predicted probability implied by the linear probability model for x1 = 8 with x2 equal to 10 and 25?                                       y x1 = 8, x2 = 10       _______ x1 = 8, 2 = 25         _______

Parts b, c, and d only please.

In a study investigating maternal risk factors for congenital syphilis, syphilis is treated as a binary outcome variable, where 1 represents the presence of disease in a newborn and 0 represents absence of disease. The estimated coefficients from a logistic regression model containing the predictors cocaine or crack use, marital status, number of prenatal visits to a doctor, alcohol use and level of education are included in the table below. The estimated intercept is not included in the table. a. As an expectant mother’s number of prenatal visits to the doctor increases, does the probability that her child will be born with congenital syphilis increase or decrease?b. Marital status is a binary variable, where 1 indicates that a woman is unmarried and 0 indicates that she is married. What are the estimated relative odds that a newborn will suffer from syphilis for unmarried versus married mothers after holding the other variables in the model constant?c. Cocaine or crack use is also a…

The following table gives the sales of CD_Rom drives and compact disk players for selected years and can be found in Glassman. Sales are in millions. Year 1988 1990 1992 1993 Sales 0.075 0.24 1.5 4.8 A. On the basis of this data, find the best-fitting exponential regression. Let x = 0 correspond to 1988. State the square of the correlation coefficient. (Use 4 decimal places in you answers.)S(x) =        r2 =        B. Use this model the estimate the sales in 1997. (Round to the nearest player.)In 1997, there were about         million CD_ROM and compact disk players sold.