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Regression

ICSE · Class 11 · Artificial Intelligence

Practice quiz for Regression — ICSE Class 11 Artificial Intelligence. MCQs and questions with answers to test your preparation.

52 questions32 flashcards5 concepts

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Quick Quiz: Regression

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1

Regression analysis is given sample data where the dependent variable y is continuous and the independent variable x is also continuous. If the model uses the simple linear form y = 5x + 50 and x = 3 hours, what is the predicted value of y in points?

2

A simple linear regression model is y = 1.518x + 0.305 for ice cream sales y in units and sunshine x in hours. If sunshine is 8 hours, what is the predicted sales value?

3

For the ice cream example, the slope formula is m = [NΣ(xy) - Σx Σy] / [NΣ(x²) - (Σx)²]. If N = 5, Σ(xy) = 263, Σx = 26, Σy = 41, and Σ(x²) = 168, what is the slope m?

4

Using the least squares intercept formula b = (Σy - mΣx) / N, if Σy = 41, m = 1.5183, Σx = 26, and N = 5, what is the intercept?

52 Questions·
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Sample Questions

1multiple choice
3 marks

A regression line is y = mx + c. For the ice cream data, m = 1.5183 and c = 0.3049. What is the predicted y when x = 8 hours of sunshine?

Show answer

12.45

Substitute x = 8. First compute 1.5183 × 8 = 12.1464. Then add 0.3049. So y = 12.4513, which rounds to 12.45.

2multiple choice
3 marks

In a regression model, a student records x = 2, 3, 5, 7, 9 and y = 4, 5, 7, 10, 15. What is the value of N used in the least squares method?

Show answer

5

N is the number of data values. There are 5 x-values and 5 corresponding y-values, so N = 5.

3multiple choice
3 marks

A simple linear regression model has slope m = 5 and intercept b = 50. If x increases from 3 hours to 4 hours, by how many points does the predicted y change?

Show answer

5 points

In simple linear regression, the slope gives the change in y for a one-unit increase in x. Since the slope is 5, increasing x by 1 hour increases y by 5 points.

4multiple choice
3 marks

A regression model for dive depth is described by a straight line where the slope is 2.915 yards per minute. If dive duration increases by 4 minutes, what is the predicted increase in depth?

Show answer

11.66 yards

Multiply the slope by the change in time. 2.915 × 4 = 11.66 yards. So the predicted increase in depth is 11.66 yards.

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Frequently Asked Questions

What are the important topics in Regression for ICSE Class 11 Artificial Intelligence?
Regression covers several key topics that are frequently asked in ICSE Class 11 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Regression — ICSE Class 11 Artificial Intelligence?
Understand the core concepts first, then work through the 52 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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