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

question 53

Essay

The scatter plot and residual plot shown below are from a regression analysis of Prehistoric Native American projectile points. The lengths of the projectiles were regressed on the width 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:

Conclusion

The final part of something, typically a summary or decision made after considering all the presented information or evidence.

Premises

Assertions or claims considered true and form the foundational premises for a conclusion in reasoning.

Inductive Argument

A type of reasoning that moves from specific instances to a general conclusion, which can be more or less probable but not certain.

Puppets

Articulated figures or models, manipulated by a puppeteer, used in performances to entertain or convey stories.