Circumference and Age Narrative

question 68

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 normal probability plot of the residuals. What conclusion can be drawn from the plot? Justify your answer.

---

Definitions:

Social Influences

The effects that the presence or actions of others have on an individual's behavior, opinions, or feelings.

Cultural Influences

the impact that the beliefs, values, norms, and practices of a culture have on individuals and societies.

Environmental Influences

Environmental influences include all external factors affecting an individual's behavior, development, and life outcomes, ranging from physical to social contexts.

Feelings of Inferiority

Emotional experiences of feeling lower in status, quality, or ability when compared to others.