The American Medical Association conducted a study of how long patients who are admitted to hospitals from emergency rooms tend to stay in the hospital. The dependent variable in this analysis is length of stay (in days). The independent variables are patient age (in years), patient gender, (where males are coded as 0 and females are coded as 1), and number of medicines a patient is currently prescribed to take. The relevant multiple regression output is as follows: Regression Statistics Multiple R 0.9659 R Square 0.9331 Adjusted R Square 0.9294 Standard Error 0.0327 Observations 58 ANOVA Df Regression Residual Total Intercept Age Gender prescriptions SS 3 54 57 0.8094 0.0580 0.8675 Coefficients 0.5118 -0.0045 -0.2392 -0.0002 Standard Error 0.0136 0.0034 0.0123 0.0123 MS 0.2698 0.0010 F 251.1995 t Stat 37.4675 -1.3276 -19.3942 -0.0214 P-value 0.0000 0.1898 0.0000 0. 9829 Significance F 0.0000 a. Is this model statistically significant? How do we know? b. What is the value of the appropriate coefficient of determination for this model? Interpret the meaning of this value in terms of this problem. c. In terms of this problem, what does the constant 0.5118 tell you? d. In terms of this problem, interpret the meaning of the coefficient -0.0045. e. In terms of this problem, interpret the meaning of the coefficient -0.2392. f. Is the effect of age on length of stay significant at the 0.05 level? How do we know? g. At what level is the effect of gender on length of stay significant? h. Predict the length of stay for a 72 old male patient who is on 6 prescriptions