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Mohammad Tanvir Shahriar ID. 16024
Tashmeem Farhana Iftekhar ID. 16061
Tahniyat sultana Prova ID. 16017
Tanvir Ahmed ID. 16009
Md.Farhadul Islam ID. 16066
Dhaka Bank Limited is a private-owned commercial bank in Bangladesh.
It has Authorized Capital of Tk. 1,000 million and Paid-up Capital of Tk. 100 million.
It has 54 Branches, 4 SME Service Centers, 5 CMS Units & 2 offshore Banking Units
It offers the full range of real-time online banking services through its all Branches, ATMs and Internet Banking Channels.
We used
Dependent Variable
Total Asset
Independent Variable
Deposit
Investment
Fixed Asset
Mean Std.Deviation Variance
Total Asset 68816.40 16733.06 2.80000000
Investment 55186.40 10262.46 105300000
Fixed Asset 7138.40 1456.61 2121716.30
Deposit 459.20 300.63 90380.20
MULTIPLE REGRATION EQUATION
Formula of Multiple Regression Equation:
Formula of Multiple Regression Equation:
Ŷ=a+b₁x₁+b₂x₂+b₃x₃
Here,a= constantX₁=DepositX₂=InvestmentX₃=Fixed asset
Ŷ=a+b₁x₁+b₂x₂+b₃x₃
Here,a= constantX₁=DepositX₂=InvestmentX₃=Fixed asset
Ŷ= -14357.25+1.28x1+1.29x2+6.82x3Total Asset= -
14357.25+1.28Deposit+1.29Investment+6.82Fixed Asset
Ŷ= -14357.25+1.28x1+1.29x2+6.82x3Total Asset= -
14357.25+1.28Deposit+1.29Investment+6.82Fixed Asset
Predictor Coef SE coef T
Constant -14257.245 3135.83 4.578
Deposit 1.284 .176 7.282
Investment 1.286 .909 1.415
Fixed Assets 6.817 2.652 2.570
It is symbolized by a capital R squared.
It can range from 0 to 1 It cannot assume negative values. It is easy to interpret
R² = = 1
R²adj = 1- ÷ = .99
Here R² is 1and Adjusted R² is .99, which is less than R²
R² is 1 so it means association between dependent and independent variables are strong
Only 1% of the variation if the estimation can not be explained through the adjustment of degrees of freedom
Global Test: ANOVA
• We can test the ability of the independent variables x1 ,x2, x3…xk to explain the behavior of the dependent variable Y.
• Basically, it investigates whether it is a possible all the independent variables have zero regression equation.
ANOVA TestStep 1 : State the null and alternate hypothesis:
The null hypothesis is:The independent variables have less significant effect on dependent variableHo: β1=β2=β3=0
The alternative hypothesis is:
The independent variables have significant effect on dependent variable.H1: β1 ≠ β2 ≠ β3≠ 0
Continued…Continued…
Step 2: Select the level of significance:We will use .05 significance level
Step 3: Determine the test statistics:The test statistics follows the F distribution
F=
Step 2: Select the level of significance:We will use .05 significance level
Step 3: Determine the test statistics:The test statistics follows the F distribution
F=
Step 4: Formulate the decision rule:
The decision rule is reject Ho >216The critical value of F is found in Appendix B.4.It is 216.The degrees of freedom for numerator is 3;The degrees of freedom for denominator is 1, found by
n-(k+1); 5-(3+1).
Step 5: Perform calculations and make a decision: The value of F is :
F=
=
=968.70
Particulars Calculated Value
Null Hypothesis
Comment
F test 968.70 > 216 Rejected Independent variables have significant effect on dependent variable
ANOVAb
Model Sum of Squares df Mean Square F Sig.
1 Regression1.120E9 3 3.732E8 968.699 .024a
Residual385257.551 1 385257.551
Total1.120E9 4
Total AssetDepositInvestmentFixed Asset
Independent Variables
year Total asset Deposit Investment Fixed asset
2006 47594.00 41554.00 5378.00 217.00
2007 57443.00 48731.00 5972.00 291.00
2008 71137.00 56986.00 7239.00 387.00
2009 77767.00 60918.00 8660.00 424.00
2010 90141.00 67743.00 8443.00 977.00
Model Unstandardized coefficients
Standardized
coefficients
t sig
B Std.Error
Beta
(Constant)
Deposit
Investment
Fixed asset
-14357.2
45
1.284
1.286
6.817
3135.832
.176
.909
2.652
.788
.112
.122
-4.578
7.282
1.415
2.570
.137
.087
.392
.236
The null hypothesis for three independent variables is:
Ho: β1=0; β2=0; β3 =0The alternative hypothesis is:
H1: β1 ≠0; β2 ≠0; β3≠0
We will use .05 level of significance
The decision rule is reject Ho >12.706
The value of t is found from the following equation:
ti=bi - 0/sbi
Critical Value is:t=12.706
Calculated values are:t1(Deposit)=7.20>12.706=Null hypothesis acceptedt2(Investment)=1.40<12.706=Null hypothesis accepted
t3(Fixed asset)=2.57>12.706=Null hypothesis accepted
Variables Calculated value
Null hypothesis
Conclusion
Deposit 7.20>2.120 Accepted Less Significant
effect on Total deposit
Investment 1.40<2.120 Accepted Less Significant
effect on Total deposit
Fixed asset 2.57>2.120 Accepted Less Significant
effect on Total deposit