Which of the following statements is false? 1. Taller people tend to be heavier than shorter people, so the correlation between height and weight must be positive. 2. Older children tend to be taller than younger children, so the correlation between age and height in children must be positive. 3. Older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative. 4. A researcher finds that the correlation between two variables is close to 0, so the two variables must be unrelated.

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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Which of the following statements is false?

1. Taller people tend to be heavier than shorter people, so the correlation between height and weight must be positive.
2. Older children tend to be taller than younger children, so the correlation between age and height in children must be positive.
3. Older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.
4. A researcher finds that the correlation between two variables is close to 0, so the two variables must be unrelated.
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