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 -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.

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

Step-by-step explanation:

The correlation Coefficient of 0.94 obtained is peculiar to the linear model upon which the data was represented. Since the correlation Coefficient usually span between - 1 to + 1, it is very possible that, if the dataset is represented on a different model such as an exponential or quadratic model, the correlation percentage obtained may be better than that produced by the linear model.

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step-by-step explanation:

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for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a