Jadamachado45
03.12.2020 •
Mathematics
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.
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Ответ:
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.
Ответ:
All the functions grow with x except B that decreases when x grows. That i your function. Also check that when you divide the population of two consecutive years, the ratio remains 0.79 approx
The solution is B