Create a research question with metric variables

| March 14, 2016

Question
Here are the guidelines for the assignment:
1. First, Create a research question with metric variables and one variable that requires dummy coding. Estimate the model and report results. Note:You are expected to perform regression diagnostics and report that as well.

2. Write a 2- to 3-page analysis of your multiple regression using dummy variables results for each research question. Include the following: research question, null and alternative hypothesis, dependent variable, independent variables including a dummy variable, analysis results, statistical significance, and effect size. Additionally, run diagnostics for the regression model, discuss assumptions. Finally, provide an explanation of what the implications of social change might be.

DATA ANALYSIS INFORMATION
RECODE X1LOCALE (1=1) (ELSE=0) INTO City.
VARIABLE LABELS City ‘City’.
EXECUTE.
RECODE X1LOCALE (2=2) (ELSE=0) INTO Suburb.
VARIABLE LABELS Suburb ‘Suburb’.
EXECUTE.
RECODE X1LOCALE (3=3) (ELSE=0) INTO Town.
VARIABLE LABELS Town ‘Town’.
EXECUTE.
RECODE X1LOCALE (4=4) (ELSE=0) INTO Rural.
VARIABLE LABELS Rural ‘Rural’.
EXECUTE.
REGRESSION
/MISSING LISTWISE
/STATISTICS COEFF OUTS R ANOVA COLLIN TOL
/CRITERIA=PIN(.05) POUT(.10) CIN(95)
/NOORIGIN
/DEPENDENT X1SES
/METHOD=ENTER X1LOCALE C2NUMAPSCI
/SCATTERPLOT=(*ZPRED ,*ZRESID)
/RESIDUALS DURBIN HISTOGRAM(ZRESID)
/SAVE COOK MCIN ICIN ZRESID.
Variables Entered/Removeda
Model
Variables
Variables
Method
Entered
Removed

Number of
. Enter
AP science
courses
1
offered, T1
School locale
(urbanicity)b
a. Dependent Variable: T1 Socio-economic
status composite
b. All requested variables entered.

ANOVAa
df

Model

Sum of
Mean
F
Sig.
Squares
Square
Regression
441.954
2
220.977 370.968
.000b
1
Residual
9017.367
15138
.596
Total
9459.322
15140
a. Dependent Variable: T1 Socio-economic status composite
b. Predictors: (Constant), Number of AP science courses offered, T1 School
locale (urbanicity)

Model

1

(Constant)

Coefficientsa
Unstandardized
Standardized
Coefficients
Coefficients
B
Std. Error
Beta
.031
.019

t

Sig.

Collinearity Statistics
Tolerance

1.608

.108

VIF

T1 School locale
-.061
.006
(urbanicity)
Number of AP science
.095
.004
courses offered
a. Dependent Variable: T1 Socio-economic status composite

-.086

-10.588

.000

.962

1.039

.183

22.563

.000

.962

1.039

Collinearity Diagnosticsa
Model Dimension Eigenvalu
Condition
Variance Proportions
e
Index
(Constant) T1 School
Number of
locale
AP science
(urbanicity)
courses
offered
1
2.639
1.000
.01
.02
.03
1
2
.292
3.009
.00
.26
.56
3
.069
6.174
.98
.72
.41
a. Dependent Variable: T1 Socio-economic status composite

Predicted Value
Std. Predicted Value
Standard Error of
Predicted Value

Residuals Statisticsa
Minimu Maximu
Mean
m
m
-.2141
.5410
.1186
-1.947
2.473
.000
.007
.021
.011

Std.
Deviation
.17085
1.000
.003

N
15141
15141
15141

Adjusted Predicted
-.2148
.5420
.1186
Value
Residual
-2.19557 2.71969 .00000
Std. Residual
-2.845
3.524
.000
Stud. Residual
-2.845
3.524
.000
Deleted Residual
-2.19655 2.72033 .00000
Stud. Deleted Residual
-2.846
3.526
.000
Mahal. Distance
.152
9.987
2.000
Cook’s Distance
.000
.001
.000
Centered Leverage
.000
.001
.000
Value
a. Dependent Variable: T1 Socio-economic status composite

.17086

15141

.77175
1.000
1.000
.77190
1.000
1.507
.000
.000

15141
15141
15141
15141
15141
15141
15141
15141

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