Question

a botanist found a correlation between the length of an aspen leaf and its surface area. the correlation value of 0.94 does 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. why? a. the value must be exactly 1 or - 1 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.

Explanation:

A correlation value close to 1 or - 1 indicates a strong linear relationship, but a value of 0.94 doesn't necessarily mean a linear model is the best - there could be a non - linear relationship that also shows a high correlation. Just because there is a high correlation doesn't imply causation either. And a correlation value of 0.94 doesn't mean 88% of the data has a linear relationship. Also, a linear model isn't the only option even with a high correlation value.

Answer:

E. Even with a correlation value of 0.94, it is possible that the relationship could still be better represented by a non - linear model.