Question

R-sq. = 82.14% r-sq.(adj) = 81.25%

part a: interpret the value of r2.
part b: assuming the residual plot of the transformed data shows a pattern, comment on the appropriateness of this linear regression for modeling the relationship between the transformed variables.

Answer 1

Part a: r squared represents the percentage of variation in the dependent variable that can be explained by the independent variable. Part b: If there is a pattern in the residual plot, linear regression may not be appropriate.

Step-by-step explanation:

Part a: The value of r2 represents the percentage of variation in the dependent variable (y) that can be explained by variation in the independent variable (x) using the regression line. In this case, r-sq. is 82.14%, which means that approximately 82.14% of the variation in the dependent variable can be explained by the independent variable.

Part b: If the residual plot of the transformed data shows a pattern, it suggests that the linear regression may not be appropriate for modeling the relationship between the transformed variables. A pattern in the residual plot indicates that the linear regression may not capture all the underlying relationships between the variables, and a different type of regression model or transformation may be more suitable.