Circumference and Age Narrative

question 59

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
-Six points have these coordinates: The normal probability plot and the residuals versus fitted values plots generated by statistical software are shown below. Does it appear that any regression assumptions have been violated? Explain.

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Definitions:

Property, Plant

Property, Plant, and Equipment (PP&E) are long-term tangible assets used in the operation of a business and not intended for sale.

Significant Change

A major alteration or transformation in a situation, process, or condition.

Activity Depreciation Method

A method of calculating the depreciation of an asset based on its usage, activities, or units of production rather than the passage of time.

Depreciation Expense

The allocated reduction in the carrying amount of a tangible asset over its useful life, reflecting wear and tear, obsolescence, or other declines in value.