Question

Assertion (A) : In real-life scenarios, a small RMSE value indicates a better model fit to the data and higher accuracy.
Reason (R) : A large RMSE value suggests that the model fits the data well.

• A. Both (A) and (R) are true, and (R) is the correct explanation of (A).
• B. Both (A) and (R) are true, but (R) is not the correct explanation of (A).
• C. (A) is true, but (R) is false.
• D. (A) is false, but (R) is true.

Hint:

Lower RMSE = better fit; higher RMSE = worse fit.

Answer 1

The Correct Option is C

RMSE (Root Mean Squared Error) is a standard metric to measure how well a regression model predicts actual values.
A smaller RMSE value means there is less difference between predicted and actual values, showing better accuracy and model fit — so Assertion (A) is true.
However, Reason (R) is false because a large RMSE value does not mean the model fits the data well.
In fact, a large RMSE indicates greater error and poor fit.
Therefore, only Assertion (A) is true, while Reason (R) is incorrect.
So, the correct answer is option (C).