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In: Statistics and Probability

This question shows 3 possible models. Delta R^2 is the adjusted R^2 value. Then F is...

This question shows 3 possible models. Delta R^2 is the adjusted R^2 value. Then F is the test statistic for adjusted R^2. The significance columns show the p-values for each measurement. The best model is the one with the lowest p-value for F.

The table below summarizes nested multiple regression models used to predict a person’s quality of life score.

Model 1 Model 2 Model 3
est. sig. est. sig. est. sig.
intercept 16.68 <.001 9.16 <.001   7.57 <.001
size of social network   0.59 0.027 0.44 0.076   0.43 0.059
college degree 3.73 0.014   3.87 0.030
time (yrs) at current job   0.91 0.046
# of siblings –0.68 0.146
R2R2 3.65% 8.01% 9.60%
ΔR2ΔR2 3.65% 4.36% 1.59%
FF (for ΔR2ΔR2) 5.00(1,132) 0.027 6.20(1,131) 0.014 1.13(2,129) 0.325

Using the model information (parameter estimates and comparative model fit), provide a prediction for the quality of life score for a person with a social network of size 8, a college degree, 4 years at current job, and 3 siblings.
     QOL = ˆy=y^=
Report answer accurate to 2 decimal places.

Be prepared to briefly justify your model choice.

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