Circumference and Age Narrative

question 62

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. Consider the following residual plot of the residuals versus the fitted values. What conclusion can be drawn from the plot?

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Definitions:

Micro Practice

Social work practice focused on individuals or small groups, addressing personal and immediate concerns.

Mezzo Practice

Social work that targets smaller groups or communities, bridging the gap between individual and macro-level interventions.

Generalist

A professional with a broad range of skills and knowledge suitable for a wide variety of tasks, rather than specializing in a narrow field.

Blame

The act of assigning responsibility for a fault or wrong, often implicating a person or group in the cause of a negative outcome.