The Scatter Plot and Residual Plot Shown Below Is from a Regression

question 23

Essay

The scatter plot and residual plot shown below is from a regression analysis of Prehistoric Native American projectile points. The widths of the projectiles were regressed on the length of the projectile points. Using these plots categorize each of the Basic Assumptions of the simple linear regression model as one of the following:
a) Not checkable
b) Checked and met
c) Checked and not met
For all assumptions checked, explain what aspect of the graphs led you to your conclusion that the assumption was met or not met.

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Definitions:

Number Of Years

A unit of time measurement that represents the duration or length of an event, often used in contexts such as employment, investment, and research periods.

Sample Correlation Coefficient

A measure that indicates the degree to which two variables are linearly related in a sample dataset.

Level Of Significance

The likelihood of incorrectly dismissing the null hypothesis in a statistical analysis, commonly symbolized by alpha (α), when it is in fact correct.

Null Hypothesis

A statement or assumption in a hypothesis test that there is no significant effect or difference, to be tested against the alternative hypothesis.