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Regression — Practice Quiz

ICSE · Class 11 · Artificial Intelligence

Try a 4-question quiz on Regression for ICSE Class 11 Artificial Intelligence: tap an answer to check it and see why.

52 questions32 flashcards5 formulas & key relations5 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.

+48 more questions on Regression (ICSE Class 11 Artificial Intelligence)

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Frequently Asked Questions

What are the important topics in Regression for ICSE Class 11 Artificial Intelligence?
Key topics in Regression include Core Idea of Regression, Types of Regression, Regression Coefficient and Interpretation, Regression Line and Linear Regression. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Regression?
There are 52 questions on Regression. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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