Statistical Analysis of Engagement, Motivation, and Extrinsic Factors

This assignment provides a comprehensive statistical analysis of engagement, intrinsic motivation, extrinsic motivation, and amotivation. It begins with descriptive statistics, including means, standard deviations, and sample sizes for each variable. Correlation analysis reveals relationships between the variables, with significant correlations observed between engagement and intrinsic motivation, and negative correlations with amotivation. A multiple regression model is then presented, showing the impact of intrinsic motivation, extrinsic motivation, and amotivation on engagement. The model summary provides R, R-squared, and adjusted R-squared values, indicating the model's explanatory power. ANOVA results assess the model's overall significance. Coefficients, standard errors, t-values, and significance levels are provided for each predictor variable, along with collinearity statistics. Finally, the assignment includes collinearity diagnostics and residual statistics, ensuring the validity and reliability of the analysis. This assignment is a valuable resource for understanding the statistical relationships between engagement and motivational factors.

Descriptive
Statistics
Mean
Std.
Deviation N
engagement 4.323
3
.90109 242
intrinsic 4.839
6
1.00242 242
extrinsic 5.500
0
1.13415 242
amotivation 1.628
1
.82970 242
Correlation
s
engagemen
t
intrinsi
c
extrinsi
c
amotivatio
n
Pearson
Correlation
engagemen
t
1.000 .685 -.034 -.412
intrinsic .685 1.000 .136 -.337
extrinsic -.034 .136 1.000 -.012
amotivation -.412 -.337 -.012 1.00
0
Sig. (1-tailed) engagemen
t
. .000 .301 .000
intrinsic .000 . .017 .000
extrinsic .301 .017 . .429
amotivation .000 .000 .429 .
N engagemen
t
242 242 242 242
intrinsic 242 242 242 242
extrinsic 242 242 242 242
amotivation 242 242 242 242
Variables
Entered/Re
moveda
Model
Variabl
es
Entere
d
Varia
bles
Rem
oved
Met
hod
1 amotiv
ation,
extrinsi
c,
intrinsi
cb
. Ent
er
a. Dependent
Variable:
engagement

b. All requested
variables
entered.
Model
Summar
yb
Model R
R
Squar
e
Adjuste
d R
Square
Std.
Error of
the
Estimat
e
1 .72
1a
.520 .514 .62793
a. Predictors:
(Constant),
amotivation,
extrinsic,
intrinsic
b. Dependent
Variable:
engagement
ANOVAa
Model
Sum of
Squares df
Mean
Squar
e F Sig.
1 Regressio
n
101.83
9
3 33.94
6
86.09
2
.000b
Residual 93.843 238 .394
Total 195.68
2
241
a.
Dependent
Variable:
engagemen
t
b.
Predictors:
(Constant),
amotivation,
extrinsic,
intrinsic
Coefficient
sa
Model
Unstandardize
d Coefficients
Standardize
d
Coefficients t
Sig.
Collinearit
y
StatisticsB Std. Error
Bet
a
Toleranc
e VIF
1 (Constant) 2.452 .30 8.129 .000

2
intrinsic .570 .04
3
.63
4
13.169 .000 .86
9
1.15
1
extrinsic -.097 .03
6
-.12
3
-2.702 .007 .98
0
1.02
0
amotivation -.216 .05
2
-.19
9
-4.175 .000 .88
5
1.13
0
a. Dependent
Variable:
engagement
Collineari
ty
Diagnosti
csa
Model
Dimensi
on
Eigenva
lue
Conditi
on
Index
Varianc
e
Proporti
ons
(Consta
nt)
intrin
sic
extrin
sic
amotivat
ion
1 1 3.767 1.000 .00 .00 .00 .01
2 .187 4.486 .00 .03 .01 .73
3 .033 10.650 .00 .41 .72 .05
4 .013 17.231 .99 .56 .26 .21
a. Dependent
Variable:
engagement
Residuals
Statisticsa
Minimum Maximum Mean
Std.
Deviation N
Predicted Value 2.2508 5.8138 4.3233 .65005 242
Std. Predicted Value -3.188 2.293 .000 1.000 242
Standard Error of
Predicted Value
.043 .181 .077 .025 242
Adjusted Predicted
Value
2.2366 5.7938 4.3227 .64994 242
Residual -1.96790 1.55293 .00000 .62401 242
Std. Residual -3.134 2.473 .000 .994 242
Stud. Residual -3.168 2.509 .000 1.002 242
Deleted Residual -2.01081 1.59793 .00062 .63466 242
Stud. Deleted Residual -3.230 2.537 .000 1.007 242
Mahal. Distance .146 18.931 2.988 2.904 242
Cook's Distance .000 .055 .004 .008 242
Descriptive
Statistics
N Minimum Maximum Mean
Std.
Deviation Skewness Kurtosis
Statistic Statistic Statistic Statistic Statistic Statistic
Std.
Error Statistic
Std.
Error
extrinsic 242 1.50 7.00 5.5000 1.13415 -.954 .156 .866 .312
intrinsic 242 1.75 7.00 4.8396 1.00242 -.239 .156 -.145 .312
amotivation 242 1.00 5.00 1.6281 .82970 1.576 .156 2.123 .312
engagement 242 1.87 6.67 4.3233 .90109 -.001 .156 -.098 .312
Valid N (listwise) 242

Centered Leverage
Value
.001 .079 .012 .012 242
a. Dependent Variable:
engagement