CBSE Class 10 Artificial Intelligence 2022 · Paper 104/4 · Question 21

Evaluating Models Medium

Traffic Jams have become a common part of our lives now-a-days. Living in an urban area means you have to face traffic each and every time you get out on the road. Mostly, school students opt for buses to go to school. Many times the bus gets late due to such jams and students are not able to reach their school on time. Thus, an AI model is created to predict explicitly if there would be a traffic jam on their way to school or not. The confusion matrix for the same is

The Confusion Matrix	Actual : 1	Actual : 0
Predicted : 1	50	50
Predicted : 0	0	0

(i)Explain the process of calculating F1 score for the given problem.[4]

Answer

Take 1 (traffic jam) as positive:

TP = 50

FP = 50

FN = 0

TN = 0

. Precision

= \frac{TP}{TP + FP} = \frac{50}{100} = 0.5

. Recall

= \frac{TP}{TP + FN} = \frac{50}{50} = 1

. F1 Score

= \frac{2 \times Precision \times Recall}{Precision + Recall} = \frac{2 \times 0.5 \times 1}{0.5 + 1} = \frac{2}{3} = 0.667

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CBSE Class 10 Artificial Intelligence 2022 · Paper 104/4 · Question 21

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