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

ID: 3310592 • Letter: R

Question

reg SHW THISQ gender

      Source |       SS           df             MS                  Number of obs   =       950

-------------+----------------------------------                 F(2, 947)       =    173.17

        Model | 2.6410e+11         2    1.3205e+11     Prob > F        =    0.0000

    Residual | 7.2215e+11       947   762563613       R-squared       =    0.2678

-------------+----------------------------------                Adj R-squared   =    0.2662

          Total | 9.8625e+11       949 1.0393e+09      Root MSE        =     27615

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

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

       THISQ |   4.90e-08   2.64e-09    18.53   0.000     4.38e-08    5.41e-08

        gender | -5296.638   2297.194    -2.31   0.021    -9804.818   -788.4588

         _cons |   31300.68   4258.399     7.35   0.000     22943.69    39657.66

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Interpret the results of the following

Explanation / Answer

Solution-

Estimated regression equation is-

Y = 4.90e-08 -5296.638 * X1 + 31300.68 * X2

value of cofficient of determination = 0.26

This means that percentage of total variation in the dependent variable explained by the model.

To, check the overall significance of the model, we will consider the p-value from the anova table-

p-value= 0.000

This is less than 0.05 hence null hypothesis-model is insignificant is rejected

and thus model exists.

Answer

TY!