Interpret the Slope and the Y-Intercept of the Least-Squares Regression $\hat { y } = \beta _ { 0 } + \beta _ { 1 } x$

question 15

Multiple Choice

Interpret the Slope and the y-intercept of the Least-Squares Regression Line
-Is there a relationship between the raises administrators at State University receive and their performance on the job? A faculty group wants to determine whether job rating (x) is a useful linear predictor of raise (y) . Consequently, the group considered the straight-line regression model, $\hat { y } = \beta _ { 0 } + \beta _ { 1 } x$ . Using the method of least squares, the faculty group obtained the following prediction equation, $\mathrm { y } = 14,000 + 2,000 \mathrm { x }$ . Interpret the estimated slope of the line.

• A) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to increase \(\$ 2,000\).
• B) For a 1-point increase in an administrator's rating, we estimate the administrator's raise to decrease \(\$ 2,000\).
• C) For an administrator with a rating of \(1.0\), we estimate his/her raise to be \(\$ 2,000\).
• D) For a \(\$ 1\) increase in an administrator's raise, we estimate the administrator's rating to decrease 2,000 points.

Describe the challenges faced by Americans post-Revolutionary War and their solutions.

Examine the influence of republicanism on gender, economic, and social hierarchies in the United States.

Understand the basic concepts of Freudian psychoanalysis, including the id, ego, and superego.

Identify the roles of the id, ego, and superego in personality development and behavior.

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Definitions:

Retaining Face

The act of preserving one's reputation, dignity, or respect in social interactions, often through managing impressions others have.

Ethnomethodology

A sociological perspective focusing on how people make sense of their everyday world through the social practices they engage in.

Trivial Matters

Issues or subjects that are of little importance or significance.

Macro-Level Sociology

The study of large-scale social processes and structures, examining how broad social forces shape collective human behavior.