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Incomes of Physicians an Economist Is Analyzing the Incomes of Physicians (General

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Incomes of Physicians
An economist is analyzing the incomes of physicians (general practitioners,surgeons,and psychiatrists).He realizes that an important factor is the number of years of experience.However,he wants to know if there are differences among the three professional groups.He takes a random sample of 125 physicians and estimates the multiple regression model y = β0 + β1x1 + β2x2 + β3x3 + ε,where y = annual income (in $1,000),x1 = years of experience,x2 = 1 if physician and 0 if not,and x3 = 1 if surgeons and 0 if not.The computer output is shown below. THE REGRESSION EQUATION IS y = 71.65 + 2.07x1 + 10.16x2− 7.44x3  Incomes of Physicians  An economist is analyzing the incomes of physicians (general practitioners,surgeons,and psychiatrists).He realizes that an important factor is the number of years of experience.However,he wants to know if there are differences among the three professional groups.He takes a random sample of 125 physicians and estimates the multiple regression model y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where y = annual income (in $1,000),x<sub>1</sub> = years of experience,x<sub>2</sub> = 1 if physician and 0 if not,and x<sub>3</sub> = 1 if surgeons and 0 if not.The computer output is shown below. THE REGRESSION EQUATION IS y = 71.65 + 2.07x<sub>1</sub> + 10.16x<sub>2</sub>− 7.44x<sub>3</sub>   S = 42.6 R−Sq = 30.9% ANALYSIS OF VARIANCE   ​ ​ -{Incomes of Physicians Narrative} Is there enough evidence at the 10% significance level to conclude that surgeons earn less on average than psychiatrists? S = 42.6 R−Sq = 30.9% ANALYSIS OF VARIANCE  Incomes of Physicians  An economist is analyzing the incomes of physicians (general practitioners,surgeons,and psychiatrists).He realizes that an important factor is the number of years of experience.However,he wants to know if there are differences among the three professional groups.He takes a random sample of 125 physicians and estimates the multiple regression model y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + β<sub>2</sub>x<sub>2</sub> + β<sub>3</sub>x<sub>3</sub> + ε,where y = annual income (in $1,000),x<sub>1</sub> = years of experience,x<sub>2</sub> = 1 if physician and 0 if not,and x<sub>3</sub> = 1 if surgeons and 0 if not.The computer output is shown below. THE REGRESSION EQUATION IS y = 71.65 + 2.07x<sub>1</sub> + 10.16x<sub>2</sub>− 7.44x<sub>3</sub>   S = 42.6 R−Sq = 30.9% ANALYSIS OF VARIANCE   ​ ​ -{Incomes of Physicians Narrative} Is there enough evidence at the 10% significance level to conclude that surgeons earn less on average than psychiatrists? ​ ​
-{Incomes of Physicians Narrative} Is there enough evidence at the 10% significance level to conclude that surgeons earn less on average than psychiatrists?


Definitions:

Asymmetry

The lack of equality or equivalence between parts or aspects of something; not symmetrical.

Attribution Theory

A concept in psychology that explains how individuals infer the causes of their own and others' behavior.

Explanations

The process of making something clear or understandable, often used to describe how phenomena occur or why they are as they are.

Behaviors

Observable actions or reactions of an individual, often in response to the environment or stimuli.

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