Suppose that a hospital tested the age and body fat data for 18 randomly selected adults and the results are provided to you as follows, Ages: 13 15 16 16 19 20 20 21 22 22 25 25 25 25 30 33 33 35 35 35 35 36 40 45 46 52 70 BodyFat: 9.5 26.5  7.8 17.8 31.4 25.9 27.4 27.2 31.2 34.6 42.5 28.8 33.4 30.2 34.1 32.9 41.2 35.7 Answer the following: Normalize the two attributes based on z-score normalization. Calculate the correlation coefficient (Pearson’s). Are these two attributes positively or negatively correlated? Computer their covariance.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Course: Data Mining

Language: R 

Suppose that a hospital tested the age and body fat data for 18 randomly selected adults and the results are provided to you as follows,

Ages: 13 15 16 16 19 20 20 21 22 22 25 25 25 25 30 33 33 35 35 35 35 36 40 45 46 52 70

BodyFat: 9.5 26.5  7.8 17.8 31.4 25.9 27.4 27.2 31.2 34.6 42.5 28.8 33.4 30.2 34.1 32.9 41.2 35.7

Answer the following:

  • Normalize the two attributes based on z-score normalization.
  • Calculate the correlation coefficient (Pearson’s).
  • Are these two attributes positively or negatively correlated?
  • Computer their covariance.

*you can use R for calculation. Report all the results in the HW file.

 

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