Circumference and Age Narrative

question 21

Essay

Circumference and Age Narrative
Evidence supports using a simple linear regression model to estimate the circumference of a pine tree based on its age. Let x be the age of the pine tree (measured in years) and y be the circumference (measured in cm). A random sample of 11 mature pine trees was selected and the following data recorded: The following output was generated using statistical software: Regression Analysis
The regression equation is
y = -148 + 4.18x S = 4.025 R-Sq = 96.4% R-Sq(adj) = 96.0%
Analysis of Variance Table Unusual Observations R denotes an observation with a large standardized residual
-Refer to Circumference and Age Narrative. Based on the plots in the previous two questions, should you use the model in the computer printout to predict circumference? Justify your answer.

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Definitions:

Electroencephalogram Patterns

Recorded electrical activity of the brain used for diagnosing abnormalities or monitoring brain functions.

Specific Stimuli

Particular triggers or cues that elicit a response from an organism, distinguished by their precise characteristics.

Magnetic Resonance Imaging

A non-invasive medical imaging technique used to visualize internal structures of the body in detail, using powerful magnetic fields and radio waves.

Computerized Tomography

An imaging technique that uses computer-processed combinations of many X-ray measurements taken from different angles to produce cross-sectional images of specific areas of a scanned object.