Q.1 On the next page are the results of two hierarchical multivariable models fi

Question

Q.1

On the next page are the results of two hierarchical multivariable models fit to the same data.
The smaller model is a simple linear regression model with LWT as the predictor variable.
The larger model is a 4 predictor model that contains LWT plus SMOKE, HT, and UI as
predictor variables. Carry out an appropriate hypothesis test to determine which model should
be reported.

Model 1 N: 189 MULTIPLE R: .186 SQUARED MULTIPLE R: .035 DEP VAR: BWT ADJUSTED SQUARED MULTIPLE R: .029 Variable Coefficient Standard Erroi P (2 tail) CONSTANT LWT 2369.672 4.429 228.431 1.713 10.374 2.586 0.000 0.010 Model 1 Source Regression Sum of Squares 3,448.881.301 DF Mean Square 3.448.881.301 F-Ratio 6.686 010 Residual 964682E+08 187 515872.574

Explanation / Answer

For model 1 p-value of F test is 0.010 That is model is significnat ta 0.01 level of significance. While for model2 p-value of F test is 0.00, means model is significant at any level of significance. And also the dependent variables in model 2 are significant to model so model 2 is more appropriate to report.

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