Salary vs School and Main Effects Dec 11
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New York University *
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Course
103
Subject
Economics
Date
Jan 9, 2024
Type
docx
Pages
2
Uploaded by BailiffNewtMaster1012
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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