In comparing two multiple regression models, one with variables that are a subset of the other, bigger model’s variables, to infer which model is superior, I get confused in looking at R-squared, adjusted R-squared, and F-statistic values. What’s the difference among them and is one of these preferable to the others?  Thanks.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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In comparing two multiple regression models, one with variables that are a subset of the other, bigger model’s variables, to infer which model is superior, I get confused in looking at R-squared, adjusted R-squared, and F-statistic values. What’s the difference among them and is one of these preferable to the others?  Thanks.

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