Heart and Estrogen/Progestin Study Data for Questions 5-7 Data from the Heart and Estrogen/Progestin Study (HERS) will be used in the following 4 questions HERS was a clinical trial of hormone therapy (HT) for the prevention of recurrent heart attacks and death among post-menopausal women with existing coronary heart disease (Hulley et al. 1998). Women were randomized to a hormone therapy intervention and placebo group. The subset of the data and variables in HERS trial to be used are: Age in years (age) Body Mass index (kg/m?) (BMI) Fasting glucose (mg/dL) (glucose) LDL cholesterol level (mg/dL) (LDL) Any current alcohol use numeric (drinkany: 1 = yes, 0 = no) Exercise at least 3 times per week (exercise: 1 = yes, 0 = no Randomization (HT: 1 = hormone therapy, 0 = placebo) Comparative ("compared to other women your age") physical activity (physact: 1 = much less active 2 = somewhat less active, 3 = about as active, 4 = somewhat more active, 5 = much more active) Statin use, a drug prescribed to lowers LDL cholesterol (statins: 1 = yes, 0 = no) Diabetes (diabetes: 1 = yes, 0 = no) Q5 Compare Glucose Levels Across Exercise Status (10 Points) Using the hers dataset, assess if LDL cholesterol levels for women who exercise 3 times per week are lower than those who do not exercise 3 times per week while controlling for BMI, glucose levels, age, and statins usage. Cholesterol levels and glucose metabolism are closely related. Having elevated blood glucose levels poses a risk of higher cholesterol. Obesity is also tied to cholesterol. Statins are a popular drug prescribed to lower LDL cholesterol. 4 points Conduct a multiple regression based t-test in R, use a = 0.05 for the type I error, to carry out the assessment. Use results from the R output of summary () of a Im () command. Interpret the conclusion of your test in the context of the assessment. Paste the regression output here: [2 point] Specify Hypotheses in terms of the slope parameter for exercise. Answer: (2 points] What is the p-value of test. Answer: 2 points) What is the decision? Answer: 10 Q6 Comparing Mean LDL Levels by Comparative Physical Activity (15 Points) Do mean LDL cholesterol levels vary by comparative physical activity while controlling for BMI, glucose levels, age and statins usage? To apply anova () methods in multiple regression, you need to be sure the factor variable is defined correctly; that is, be sure that hers$physact