(Solved): 4. (6 points) Euclidean distance and normalization: A company is interested in using distance-based ...

4. (6 points) Euclidean distance and normalization: A company is interested in using distance-based algorithms to analyze its customer base. Three sample customer records are shown in Table 1 below. Table 1. Original customer data a. Using the original units of measurement for each feature, calculate to two decimal places i. the distance from customer 1 to customer 2 and ii. the distance from customer 1 to customer 3. iii. Which customer (2 or 3 ) is closer to customer 1 ? b. Normalize each feature such that it ranges from 0 to 1 . In other words, apply the following normalization equation to each feature: \[ x_{\text {normalized }}=\frac{x-x_{\min }}{x_{\max }-x_{\min }} \] Write the normalized values in Table 2. Note: for each column, the minimum value will be 0 , and the maximum value will be 1 . Table 2. Normalized customer data c. Using the normalized values for each feature, calculate to two decimal places i. the distance from customer 1 to customer 2 and ii. the distance from customer 1 to customer 3. iii. Which customer (2 or 3 ) is closer to customer 1 ? d. Why is normalizing or standardizing data important when implementing distance-based algorithms?