example 6.4

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  • 8/6/2019 Example 6.4

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    About the case: The case deals with the dependency Child Mortality (CM)with respect to other factors like Female Literacy Rate (FLFP), Per CapitaGNP (PNGP) and Total Fertility Rate (TFR). The data has been taken for 64countries.

    Objective: The motive of analyzing the data is to find out the dependency ofthe Child Mortality with respect to other given variables. That is, either theother factors are affecting the CM or not, and if they are, then to which extent.Whether it is fully dependent on the given factors or there may be some otherfactors which may be affecting the CM.

    Process: In SPSS, the CM is categorized as dependent variable and FLR andPNGP are declared as independent variables.

    Equation: CM=263.864-2.39FLR+ u

    1. Taking only FLR as Independent Variable:

    Regression

    Variables Entered/Removedb

    Model

    Variables

    Entered

    Variables

    RemovedMethod

    1 FLRa . Enter

    a. All requested variables entered.

    b. Dependent Variable: CM

    Model Summary

    Model R R Square

    Adjusted R

    Square

    Std. Error of the

    Estimate

    1 .818a .670 .664 44.024

    Model Summary

    ModelChange Statistics

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    R Square

    Change F Change df1 df2Sig. F Change

    1 .670 125.645 1 62 .000

    a. Predictors: (Constant), FLR

    ANOVAb

    Model Sum of Squares df Mean Square FSig.

    1 Regression 243515.049 1 243515.049 125.645 .000a

    Residual 120162.951 62 1938.112

    Total 363678.000 63

    a. Predictors: (Constant), FLR

    b. Dependent Variable: CM

    Coefficientsa

    ModelUnstandardized Coefficients

    BStd. Error

    1 (Constant) 263.864 12.225

    FLR -2.390 .213

    Coefficientsa

    Model

    Standardized

    Coefficients t Sig.95.0% Confidence Interval for B

    Beta Lower BoundUpper Bound

    1 (Constant) 21.584 .000 239.426 288.301

    FLR -.818 -11.209 .000 -2.817 -1.964

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    a. Dependent Variable: CM

    Analysis: Since t value of FLR is -11.209, it means that its significancelevel is 99%. Also R square is .670, which means that value of dependentvariable(CM) is ifluenced 67% by the factor FLR.

    2. Taking FLR and PGNP both as Independent Variables

    Regression

    Variables Entered/Removedb

    Model

    Variables

    Entered

    Variables

    RemovedMethod

    1 PNGP, FLRa . Enter

    a. All requested variables entered.

    b. Dependent Variable: CM

    Model Summary

    Model R R Square

    Adjusted R

    Square

    Std. Error of the

    Estimate

    1 .841a .708 .698 41.748

    Model Summary

    Model

    Change Statistics

    R Square

    Change F Change df1 df2Sig. F Change

    1 .708 73.833 2 61 .000

    a. Predictors: (Constant), PNGP, FLR

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    ANOVAb

    Model Sum of Squares df Mean Square FSig.

    1 Regression 257362.373 2 128681.187 73.833 .000a

    Residual 106315.627 61 1742.879

    Total 363678.000 63

    a. Predictors: (Constant), PNGP, FLR

    b. Dependent Variable: CM

    Coefficientsa

    ModelUnstandardized Coefficients

    BStd. Error

    1 (Constant) 263.642 11.593

    FLR -2.232 .210

    PNGP -.006 .002

    Coefficientsa

    Model

    Standardized

    Coefficients t Sig.

    95.0% Confidence Interval for B

    Beta Lower BoundUpper Bound

    1 (Constant) 22.741 .000 240.460 286.824

    FLR -.764 -10.629 .000 -2.651 -1.812

    PNGP -.203 -2.819 .006 -.010 -.002

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    a. Dependent Variable: CM

    Equation:CM=263.64 2.232FLR -0.006PGNP+ u

    Analysis: Since t value of FLR is -10.629 and of PNGP is -2.819, itmeans that its significance level is 99% for FLR and 95% for PNGP. Also Rsquare is .708, which is more than the adjusted R square (.698).It meansthat value of dependent variable(CM) is influenced 70.8% by the factorsFLR and PNGP. This shows that the another variable PNGP is alsopositively dependent on the CM.