Homework April 30 Algebra B

What is a residual in the context of regression analysis?

• The intercept of the regression line

• The coefficient of the regression line

• The sum of squared errors

• The difference between the predicted and actual values

How is a residual calculated?

• Actual value minus predicted value

• Actual value plus predicted value

• Sum of all data points

• Predicted value minus actual value

What does a residual plot display?

• The relationship between independent variables

• The residuals for each observed value

• The best fit line through the data

• The correlation coefficient

What might indicate a non-linear relationship in a residual plot?

• All residuals being zero

• All residuals being positive

• A clear upward or downward trend in residuals

• Residuals randomly scattered around the horizontal axis

What does an evenly scattered residual plot suggest about the regression model?

• The data points are outliers

• The linear model is a good fit for the data

• The model is likely overfitting

• The model is likely underfitting