The heights of a stand of pine trees were measured along
with the area under the cone formed by their branches.
a) Create a scatter plot of these data.
b) Determine the correlation coefficient and the equation of
the line of best fit.
c) Use a power regression to calculate a coefficient of
determination and an equation for a curve of best fit.
d) Which model do you think is more accurate? Explain why.
e) Use the more accurate model to predict
i) the area under a tree whose height is 2.7 m
ii) the height of a tree whose area is 30 m2
f) Suggest a reason why the height and circumference of a
tree might be related in the way that the model in part d) suggests.