In recent years, medical research has incorporated the use of data analytics to find new ways to detect heart disease in its early stage. Medical doctors are particularly interested in accurately identifying high-risk patients so that preventive care and intervention can be administered in a timely manner. A readily available set of information such as the patient’s age (Age), blood pressure (BP Systolic and BP Diastolic), and BMI, along with an indicator whether or not the patient has heart disease (Disease = 1 if heart disease, 0 otherwise). A portion of the data set is provided in the accompanying table. 

a. Perform KNN analysis on the data set. What is the optimal value of k? 

b. What is the misclassification rate for the optimal k? 

c. Report the accuracy, specificity, sensitivity, and precision rates for the test data set (for Analytic Solver) or validation data set (for R). 

d. Display the cumulative lift chart, decile-wise chart, and ROC curve. 

e. Comment on the performance of the KNN classification model. Is the KNN classification an effective way to predict heart disease?

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Disease Age 0 44 1 55 # 29 ⠀ 0 Systolic 112 128 E 144 Diastolic 111 90 ⠀ 85 BMI 17 27 B 32