Maple Trees a Forester Would Like to Know How BigD Explain Why You Think This Is a Better Model

The Answer of Maple Trees a Forester Would Like to Know How BigD Explain Why You Think This Is a Better Model

Maple Trees a Forester Would Like to Know How BigD Explain Why You Think This Is a Better Model

The Answer of Maple Trees a Forester Would Like to Know How BigD Explain Why You Think This Is a Better Model

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Maple Trees a Forester Would Like to Know How Big

question 52

Essay

Maple trees A forester would like to know how big a maple tree might be at age 50 years.
She gathers data from some trees that have been cut down, and plots the diameters (in
inches) of the trees against their ages (in years). First she makes a linear model. The
scatterplot and residuals plot are shown. $Maple trees A forester would like to know how big a maple tree might be at age 50 years. She gathers data from some trees that have been cut down, and plots the diameters (in inches) of the trees against their ages (in years). First she makes a linear model. The scatterplot and residuals plot are shown. a. Describe the association shown in the scatterplot. b. Do you think the linear model is appropriate? Explain. c. If she uses this model to try to predict the diameter of a 50-year old maple tree, would you expect that estimate to be fairly accurate, too low, or too high? Explain. Now she re-expresses the data, using the logarithm of age to try to predict the diameter of the tree. Here are the regression analysis and the residuals plot. \begin{array}{lcc} \text { Dependent variable is: } & \text { Diam } \\ R \text { squared }=84.3 \% & \\ \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } \\ \text { Constant } & -8.60770 & 1.681 \\ \text { Log }(\text { Age }) & 15.0701 & 1.299 \end{array} d. Explain why you think this is a better model. e. Using this model, predict the diameter of a maple tree at age 50 years.$
a. Describe the association shown in the scatterplot.
b. Do you think the linear model is appropriate? Explain.
c. If she uses this model to try to predict the diameter of a 50-year old maple tree, would
you expect that estimate to be fairly accurate, too low, or too high? Explain.
Now she re-expresses the data, using the logarithm of age to try to predict the diameter of
the tree. Here are the regression analysis and the residuals plot. $\begin{array}{lcc}\text { Dependent variable is: } & \text { Diam } \\R \text { squared }=84.3 \% & \\\text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } \\\text { Constant } & -8.60770 & 1.681 \\\text { Log }(\text { Age }) & 15.0701 & 1.299\end{array}$

$Maple trees A forester would like to know how big a maple tree might be at age 50 years. She gathers data from some trees that have been cut down, and plots the diameters (in inches) of the trees against their ages (in years). First she makes a linear model. The scatterplot and residuals plot are shown. a. Describe the association shown in the scatterplot. b. Do you think the linear model is appropriate? Explain. c. If she uses this model to try to predict the diameter of a 50-year old maple tree, would you expect that estimate to be fairly accurate, too low, or too high? Explain. Now she re-expresses the data, using the logarithm of age to try to predict the diameter of the tree. Here are the regression analysis and the residuals plot. \begin{array}{lcc} \text { Dependent variable is: } & \text { Diam } \\ R \text { squared }=84.3 \% & \\ \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } \\ \text { Constant } & -8.60770 & 1.681 \\ \text { Log }(\text { Age }) & 15.0701 & 1.299 \end{array} d. Explain why you think this is a better model. e. Using this model, predict the diameter of a maple tree at age 50 years.$
d. Explain why you think this is a better model.
e. Using this model, predict the diameter of a maple tree at age 50 years.

Definitions:

Dynamic Stimuli

Stimuli that are constantly changing or moving, often used in psychological experiments to test perception and cognition.

Still-Face Interaction Paradigm

A research method used to study infant-caregiver interaction, where the caregiver suddenly maintains a neutral, unresponsive face towards the infant.

Violation-Of-Expectation Task

A task in which a stimulus appears to violate physical laws.

Social Interaction

The process by which individuals act and react in relation to others, influencing and being influenced by the social structures and processes around them.