Answered: According to the National Health…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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According to the National Health Interview Survey, 2007,
Avg height for men = 69.93 inches
Avg weight for men = 192.78 lbs
Variance of height for men = 8.48
Variance of weight for men = 1194.80
Covariance of height and weight for men = 43.92
Avg height for women = 64.31 inches
Avg weight for women = 158.16 lbs
Variance of height for women = 6.60
Variance of weight for women = 1222.68
Covariance of height and weight for women = 19.81

What is the covariance between height and weight for men, if height is expressed in cm and weight is expressed in kg? (1 inch = 2.54 cm; 1 lb = 0.453582 kg) (Round to two decimals: 123.45)

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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