5. Based on the given table, answer the below questions: a. The first step is to perform all the preliminary analyses with these data. What do you think is the appropriate preliminary analyses here? Please explain each step b. For participants in the study, what is the procedure to see if the levels of cholesterol (CHOL) are predicted by the levels of calcium (CALC), after adjusting for the other covariates provided? Explain which specific model you will use. c. What is the purpose of checking the collinearity in the model? Give the meaning of the standardized coefficients as well. d. What are the regression diagnostics? When do we use them? Please explain. e. "Does the effect of calcium on cholesterol vary according to the use of the birth control pill? ", How would you answer this question? What procedure will you follow and why? Give enough detail so that one can evaluate your understanding! What would you report and what is your interpretation? f. If we fit a multiple logistic regression model with all covariates as before and calculate the estimated probability of high cholesterol for an individual aged 33, with height =67 inches, weight =160 pounds, not using birth control pills, albumin=4, calcium =9.3, and uric acid=4.8, how we will recognize if URIC is a strong confounder of the effect of CALC on the risk of high cholesterol? g. What are the three methods of regression analysis? If you want to eliminate variables that are not statistically significant, what is the best choice? 5. Based on the given table, answer the below questions: a. The first step is to perform all the preliminary analyses with these data. What do you think is the appropriate preliminary analyses here? Please explain each step b. For participants in the study, what is the procedure to see if the levels of cholesterol (CHOL) are predicted by the levels of calcium (CALC), after adjusting for the other covariates provided? Explain which specific model you will use. c. What is the purpose of checking the collinearity in the model? Give the meaning of the standardized coefficients as well. d. What are the regression diagnostics? When do we use them? Please explain. e. "Does the effect of calcium on cholesterol vary according to the use of the birth control pill? ", How would you answer this question? What procedure will you follow and why? Give enough detail so that one can evaluate your understanding! What would you report and what is your interpretation? f. If we fit a multiple logistic regression model with all covariates as before and calculate the estimated probability of high cholesterol for an individual aged 33, with height =67 inches, weight =160 pounds, not using birth control pills, albumin=4, calcium =9.3, and uric acid=4.8, how we will recognize if URIC is a strong confounder of the effect of CALC on the risk of high cholesterol? g. What are the three methods of regression analysis? If you want to eliminate variables that are not statistically significant, what is the best choice