Salary vs School and Main Effects Dec 11

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School

New York University *

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Course

103

Subject

Economics

Date

Jan 9, 2024

Type

docx

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2

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Regression Equation Salary = 97.03 - 30.51 School_CUNY - 9.92 School_NYU Coefficients Term Coef SE Coef T- Value P- Value VIF Constant 97.03 1.55 62.41 0.000   School_CUNY - 30.51 1.99 -15.34 0.000 1.63 School_NYU -9.92 1.96 -5.07 0.000 1.63 Model Summary S R-sq R- sq(adj) R- sq(pred) 11.634 4 53.05% 52.65% 51.88% Analysis of Variance Source DF Adj SS Adj MS F- Value P- Value Regression 2 36243 18121.5 133.88 0.000 Error 237 32080 135.4     Total 239 68323       1. Is there evidence that School is an important predictor of Salary? Use alpha =.01. 2. Is there evidence that CUNY students earn less than Penn students? Use alpha =.05. 3. Provide a point estimate for the difference in expected salary for NYU students versus CUNY students, i.e., E(Salary|NYU) – E(Salary|CUNY). NYU: b0 + b2 CUNY: b0 + b1 (b0 + b2) –(b0 +b1) = (b2 – b1) -9.92 +30.51 = 20.59
WORKSHEET 1 Regression Analysis: Salary versus Major_bus, Major_liberal arts, School_CUNY, School_NYU Regression Equation Salary = 93.16 + 18.23 Major_bus - 3.74 Major_liberal arts - 30.42 School_CUNY - 12.40 School_NYU Coefficients Term Coef SE Coef T- Value P- Value VIF Constant 93.16 1.07 87.42 0.000   Major_bus 18.23 1.06 17.13 0.000 1.37 Major_liberal arts -3.74 1.05 -3.55 0.000 1.35 School_CUNY - 30.42 1.14 -26.80 0.000 1.63 School_NYU - 12.40 1.12 -11.04 0.000 1.65 Model Summary S R-sq R- sq(adj) R- sq(pred) 6.6335 9 84.86% 84.61% 84.23% Analysis of Variance Source DF Adj SS Adj MS F- Value P- Value Regression 4 57982.2 14495.5 329.41 0.000 Error 235 10341.1 44.0     Total 239 68323.2      
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