Two linear regression models are fitted using software and below is their R2 and adjusted R2...

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Two linear regression models are fitted using software and below is their R2 and adjusted R2...

Two linear regression models are fitted using software and below is their R2 and adjusted R2 values. Which of the two models fits the data better? Why does it fit the model better?

In order from

Model, R specification, R², Adjusted R² Model

Model 1 : Y ∼ X1 + X3, 0.91, 0.84

Model 2 : Y ∼ X1 + X2, 0.88, 0.86

math Statistics-And-Probability

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Answer 1

Answer #1

Ans:

We chhose model with high adjusted R^2,as it indicates the goodness of fit of the model for the multiple regression.

Correct option is:

Model 2 : Y ∼ X1 + X2, 0.88, 0.86

(As,adjusted R^2 is higher)

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Answer 2

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