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reg SHW NFM THISQ gender Source | SS df MS Number of obs = 950 -------------+---

ID: 3310590 • Letter: R

Question

reg SHW NFM THISQ gender

       Source |       SS           df       MS                                 Number of obs   =       950

-------------+----------------------------------                            F(3, 946)       =    118.19

        Model | 2.6888e+11         3 8.9626e+10              Prob > F        =    0.0000

    Residual | 7.1737e+11       946   758321634            R-squared       =    0.2726

-------------+----------------------------------                             Adj R-squared   =    0.2703

          Total | 9.8625e+11       949 1.0393e+09             Root MSE        =     27538

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         SHW |      Coef.        Std. Err.        t          P>|t|     [95% Conf. Interval]

-------------+----------------------------------------------------------------

           NFM |   949.0801    378.1998     2.51   0.012     206.8725    1691.288

        THISQ |   4.86e-08     2.64e-09    18.40   0.000     4.34e-08    5.38e-08

      gender | -6268.716    2323.316    -2.70   0.007    -10828.16   -1709.267

         _cons |   28571.06    4383.632     6.52   0.000      19968.3    37173.83

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Interpret the results of the above data

Explanation / Answer

Here the given model is

SHW = 28571.06 + 949.0801 * NFM + 4.86 x 10-8 * THISQ -6268.716 * Gender

Here first we will identify that the model is overall significant here or not.

so, Here F - value = 118.19

and significance of F- value = 0.0000 < 0.05 so

model is overall significant in nature.

Here. p - value for each varaible is less than 0.05, that means each variable is significant here. So, we dont have to discard any independent variable.

Here R2 = 0.2726, so we can say that 27.26 % of the variation is due to the given model with the independent variables.