What does a high value of R-squared indicate in regression analysis?
Practice Questions
1 question
Q1
What does a high value of R-squared indicate in regression analysis?
The model explains a large proportion of the variance in the dependent variable
The model has a high number of features
The model is overfitting the training data
The model is underfitting the training data
A high R-squared value indicates that a significant proportion of the variance in the dependent variable is explained by the independent variables in the model.
Questions & Step-by-step Solutions
1 item
Q
Q: What does a high value of R-squared indicate in regression analysis?
Solution: A high R-squared value indicates that a significant proportion of the variance in the dependent variable is explained by the independent variables in the model.
Steps: 4
Step 1: Understand what R-squared is. It is a number that shows how well the independent variables explain the variation in the dependent variable.
Step 2: Know that R-squared values range from 0 to 1. A value closer to 1 means a better fit.
Step 3: Realize that a high R-squared value (like 0.8 or 0.9) means that most of the changes in the dependent variable can be explained by the independent variables.
Step 4: Conclude that a high R-squared indicates a strong relationship between the variables in the regression model.