Imagine That You Had Discovered a Relationship That Would Generate $x _ { i } ^ { 2 }$

question 61

Essay

Imagine that you had discovered a relationship that would generate a scatterplot very similar to the relationship Y_i = $x _ { i } ^ { 2 }$ , and that you would try to fit a linear regression through your data points. What do you expect the slope coefficient to be? What do you think the value of your regression R² is in this situation? What are the implications from your answers in terms of fitting a linear regression through a non-linear relationship?

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Definitions:

Foot-In-The-Door Phenomenon

A psychological tactic involving getting a person to agree to a large request by first setting them up to agree to a modest request.

Attitude

An inclination of the mind depicted by appraising a given entity with a level of approval or disapproval.

Fundamental Attribution Error

a bias in social psychology where a person underestimates situational influences and overestimates dispositional (personality) influences on another's behavior.

Social Influence

The effects of the presence or actions of others on an individual’s behaviors, attitudes, or opinions.