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?

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The correlation between the length of aspen leaf and it's surface area might have a higher correlation Coefficient value when modeled using other regression techniques.

  • The Correlation Coefficient, gives the strength of relationship between two variables.

  • The value ranges from - 1 to +1 where they both depict a perfect negative and positive association respectively.

  • A correlation Coefficient value of 0.94 might not be the highest value of correlation attainable when other models are used.

Hence, the linear model may not be most appropriate model despite the high correlation Coefficient value.

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