3.3.1 Interpret the output depicted in in 3.3 above. 3.3.2 Specify the reason(s) for the low Goodness of Fit of the multiple regression model and recommend a potential solution. 3.3.3 Briefly explain the role of literature review in the process of identifying predictor variables for the multiple regressin model and how it minimises selection bias.

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3.3 Next, to determine the impact of demographic characteristics of clients on their savings, the
management of the bank requested your help to perform a multiple regression analysis of the
data. You formulated a linear multiple regression model in
form:
Saving = a, + acXg + amsXms + a¾Xa + ɛ
Where,
a, is the constant,
aç is the correlation coefficient for the gender of the client,
aMs is the correlation coefficient for the marital status of the client,
a, is the correlation coefficient for age of the client,
Xg is the Gender variable
XMs is the marital status variable
XA is the age variable and
e is the error term
The data analysis produced the following output:
Figure 3.3.1:
Tests of Normality
Kolmogorov-Smirnov
Sig.
Shapiro-Wilk
Statistic
df
Statistic
Sig.
Savings
a. Lilliefors Significance Correction
.173
205
.000
780
205
.000
Model Summary
Adjusted R
Square
Table 3.3.2:
Model
R Square
Std. Error of the Estimate
319
.102
.088
2090.92220
a. Predictors: (Constant), Age, Gender, Marital_Status
Table 3.3.3:
ANOVA
Model
Sum of Squares
df
Mean Square
F
Sig.
Regression
99640655.560
3 33213551.850
7.597
.000
Residual
878763087.000
201
4371955.657
Total
978403742.600
204
a. Dependent Variable: Saving
b. Predictors: (Constant), Age, Gender, Marital_Status
Table 3.3.4:
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
Model
B
Std. Error
Beta
Sig.
(Constant)
-1740.750
694.359
-2.507
.013
Gender
978.658
296.636
.221
3.299
.001
Marital_Status
364.777
128.099
.194
2.848
.005
11.704
Age
a. Dependent Variable: Saving
13.251
.060
.883
.378
3.3.1 Interpret the output depicted in in 3.3 above.
3.3.2 Specify the reason(s) for the low Goodness of Fit of the multiple regression model and
recommend a potential solution.
3.3.3 Briefly explain the role of literature review in the process of identifying predictor variables for
the multiple regressin model and how it minimises selection bias.
Transcribed Image Text:3.3 Next, to determine the impact of demographic characteristics of clients on their savings, the management of the bank requested your help to perform a multiple regression analysis of the data. You formulated a linear multiple regression model in form: Saving = a, + acXg + amsXms + a¾Xa + ɛ Where, a, is the constant, aç is the correlation coefficient for the gender of the client, aMs is the correlation coefficient for the marital status of the client, a, is the correlation coefficient for age of the client, Xg is the Gender variable XMs is the marital status variable XA is the age variable and e is the error term The data analysis produced the following output: Figure 3.3.1: Tests of Normality Kolmogorov-Smirnov Sig. Shapiro-Wilk Statistic df Statistic Sig. Savings a. Lilliefors Significance Correction .173 205 .000 780 205 .000 Model Summary Adjusted R Square Table 3.3.2: Model R Square Std. Error of the Estimate 319 .102 .088 2090.92220 a. Predictors: (Constant), Age, Gender, Marital_Status Table 3.3.3: ANOVA Model Sum of Squares df Mean Square F Sig. Regression 99640655.560 3 33213551.850 7.597 .000 Residual 878763087.000 201 4371955.657 Total 978403742.600 204 a. Dependent Variable: Saving b. Predictors: (Constant), Age, Gender, Marital_Status Table 3.3.4: Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig. (Constant) -1740.750 694.359 -2.507 .013 Gender 978.658 296.636 .221 3.299 .001 Marital_Status 364.777 128.099 .194 2.848 .005 11.704 Age a. Dependent Variable: Saving 13.251 .060 .883 .378 3.3.1 Interpret the output depicted in in 3.3 above. 3.3.2 Specify the reason(s) for the low Goodness of Fit of the multiple regression model and recommend a potential solution. 3.3.3 Briefly explain the role of literature review in the process of identifying predictor variables for the multiple regressin model and how it minimises selection bias.
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