Arrange the regression models with different values of ESS and TSS in increasing order of their explanatory power, given that ESS stands for Error Sum of Squares and TSS stands for Total Sum of Squares:
(A) ESS = 30, TSS = 70
(B) ESS = 25, TSS = 75
(C) ESS = 40, TSS = 80
(D) ESS = 45, TSS = 120
Choose the correct answer from the options given below:

Correct option is B

The explanatory power of a regression model is measured using the coefficient of determination (R²), calculated as:

Where:
· ESS: Error Sum of Squares (residual or unexplained variance).
· TSS: Total Sum of Squares (total variance in the dependent variable).
Step 1: Calculate R² for each option

Step 2: Arrange R² values in increasing order of explanatory power.
· R² for (C): 0.4375 (Lowest explanatory power)
· R² for (B): 0.6667
· R² for (A): 0.5714
· R² for (D): 0.7083 (Highest explanatory power)
Information Booster: 1. TSS: Represents the total variability in the dependent variable.
2. ESS: Represents the portion of TSS explained by the regression model.
3. Unexplained Sum of Squares (USS): The remaining variance after the regression model is applied.
4. R2R^2R2: A critical metric in regression analysis, indicating model fit.