Positive Relationship of Wages with Multiple Variables Essay Example
The question is, are wages dependent on the gender, occupation, industry, years of education, race, years of work experience, marital status, and union membership. We will use the technique of linear regression and correlation. Regression analysis in this case should predict the value of the dependent variable (annual wages), using independent variables (gender, occupation, industry, years of education, race, and years of work experience, marital status, and union membership).
Regression Analysis
Based on our initial findings from MegaStat, we built the following model for regression (coefficient factors are rounded to the nearest hundredth):
Wages (Y) = -12,212. 98 + 167. 51(Industry) + 71. 13(Occupation) + 3,085. 27(Years of Education) – 6,172. 13(Non-White) + 1,857. 06(Hispanic) – 11,822. 96(Gender) + 356. 27(Years of Experience) + 4,589. 46(Marital Status) – 4,018. 87(Union Member
...)
Global Test: Ho: All regression coefficients for the variables in the population are zero H1: Not all regression coefficients are zero Significance level = 0. 05 Decision rule: Reject Ho if p-value < 0. 5 The p-value generated by the regression analysis is non-zero (4. 42x10-7), therefore we reject Ho and conclude that regression is a good fit for this model.
Individual tests: Ho: Regression coefficient for each variable is zero H1: Regression coefficient for each variable is not zero Significance level = 0. 05
Decision rule: Reject Ho if p-value < 0. 05 Because these are all t-tests, we can read the p-values of these tests from the Regression output. he variables with p-values less than 0. 05 have significant impact on wages earned, also that variables with p-values greater than 0. 5 do not have significant impact on wages.
According to the MegaStat output, the variables that significantly affec
wages are education (p = 2. 17x10-6), gender (p = . 0001), and experience (p = . 0083). Next, using only these three significant variables (education, gender, and experience), we performed a second multiple regression analysis, which yielded the following model: Wage (Y) = -12,227. 69 + 3,160. 29(Years of Education) – 11,149. 29(Gender) + 396. 01(Years of Experience) In the model above, one can project their approximate annual wage, depending upon their years of experience, years of education, and their gender.
Note: for the “Gender” variable, a value of one is entered if the worker is female, and a value of zero is entered if the worker is male. For example, a female worker with a bachelor’s degree (or 16 years of total schooling) and 10 years working experience can expect to earn: Wage (Y) = -12,227. 69 + 3,160. 29(16 years education) – 11,149. 29(1) + 396. 01(10 years experience) = $31,147. 66
According to this same regression model, a man with the very same education and experience will earn $42,296. 95, or $11,149. 29 more than his female counterpart. Clearly, gender plays a significant role in earning potential.
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