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For each set of data use software or a graphing calculator to find the equation and coefficient of..

For each set of data use software or a graphing calculator
to find the equation and coefficient of determination for a curve of best fit.

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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.

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