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!
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