If the Least-Squares Regression Line Is $y = - 2 x + 17$

question 38

Multiple Choice

If the least-squares regression line is $y = - 2 x + 17$ then what is the residual for the point (10, 5) ?

• A)-3
• B) 3
• C) 8
• D)-8

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Definitions:

Appeals to Tradition Fallacy

A logical fallacy that argues something is correct or better simply because it is traditional or has always been done.

Gambler's Fallacy

The erroneous belief that the outcome of a random event is influenced by previous outcomes, such as believing that a string of losses increases the likelihood of an imminent win.

Utilitarian Theory

A philosophical theory stating that the best action is the one that maximizes utility, often defined in terms of the well-being of sentient entities.

Kantian Theory

A philosophical doctrine based on the works of Immanuel Kant, emphasizing the importance of morality, ethics, and duty, guided by reason and categorical imperatives.