25

docx

School

California State University, Monterey Bay *

*We aren’t endorsed by this school

Course

1281

Subject

Mathematics

Date

Nov 24, 2024

Type

docx

Pages

Uploaded by WESIMBEH

MATH 1281-01 - AY2024-T2 R-squared indicates the proportion of the variance between the dependent variable (the target variable) and the independent variables (learner, 2023).. Ii ranges from 0 to 1, with a higher value indicating a better fit ( Nersesyan, 2023). Adjusted R-squared evaluates the goodness of fit of a regression model. It provides insights into how well the model explains the variability in the data (Bhandari, 2023). The adjusted R-squared is always lower than R-squared, or, at best, equal if all predictors are highly relevant. Adjusted R-squared is often considered a better measure of the strength of the linear regression since it can penalize the inclusion of unnecessary variables, and the adjusted R-squared value will only increase if the new variables significantly improve the model’s performance (Bhandari, 2023). Consider a linear regression model predicting user interest in a phone model based on the RAM, ROM, camera, and color. In the following table, adding the "Color" independent variable does not increase the adjusted R- square, so we can conclude that this "Color" variable does not help to improve the linear regression model. In other words, user interest in the phone model may not contribute significantly to predicting user interest in the phone model. Independent variables R- Value R-squaredAdjusted R-squared RAM 0.823 0.677 0.676 RAM, ROM 0.839 0.705 0.703 RAM, ROM, Camera 0.919 0.845 0.844 RAM, ROM, Camera, Color0.950 0.903 0.844 Word count : 237 Reference Bhandari, A. (2023, September 18). Difference Between R-Squared and Adjusted R-Squared.

Analyticsvidhya. https://analyticsvidhya.com/blog/2020/07/difference-between-r-squared-and- adjusted-r-squared/ . Nersesyan, D. (2023, June 25). Evaluation Metrics for Regression: A Comprehensive Overview | by Diana Nersesyan | Medium. Medium. https://medium.com/@diana_nersesyan/understanding- evaluation-metrics-for-regression-a-comprehensive-overview-56450a5bea49 . learner, r. (2023, June 24). How to evaluate and visualize regression results | DataScienceTribe. Datasciencebyexample. https://datasciencebyexample.com/2023/06/24/how-to-evaluate-and- visualize-regression/ .

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

25

Related Documents