A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area? (A) The value must be exactly 1 or to indicate a linear model is the most appropriate model. (B) The value must be 0 to indicate a linear model is the most appropriate model. (C) A causal relationship should be established first before determining the most appropriate model. (D) The value of 0.94 implies that only 88% of the data have a linear relationship. (E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
A botanist found a correlation between the length of an aspen leaf and its surface area to be 0.94. Why does the correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the relationship between length of an aspen leaf and its surface area? (A) The value must be exactly 1 or to indicate a linear model is the most appropriate model. (B) The value must be 0 to indicate a linear model is the most appropriate model. (C) A causal relationship should be established first before determining the most appropriate model. (D) The value of 0.94 implies that only 88% of the data have a linear relationship. (E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A botanist found a
correlation value of 0.94 not necessarily indicate that a linear model is the most appropriate model for the
relationship between length of an aspen leaf and its surface area?
| (A) | The value must be exactly 1 or | to indicate a linear model is the most appropriate model. |
| (B) | The value must be 0 to indicate a linear model is the most appropriate model. |
| (C) | A causal relationship should be established first before determining the most appropriate model. |
| (D) | The value of 0.94 implies that only 88% of the data have a linear relationship. |
(E) Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a nonlinear model.
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