Correlation and Regression

Math ⇒ Statistics and Probability

Correlation and Regression starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Correlation and Regression. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Describe the effect of an outlier on the correlation coefficient.

Describe what is meant by 'outlier' in the context of correlation and regression.

Explain the difference between correlation and causation.

Explain the meaning of homoscedasticity in regression analysis.

Explain why extrapolation using a regression line can be risky.

Given a dataset where the correlation coefficient is r = 1, what can you say about the relationship between the two variables?

Given a regression equation Y = 5 + 2X, what is the slope and what does it represent?

Given the following data: X: 1, 2, 3, 4; Y: 2, 4, 6, 8. Calculate the correlation coefficient (r).

Given the following data: X: 2, 4, 6; Y: 3, 7, 11. Find the equation of the regression line of Y on X.

Given the regression equation Y = 10 - 3X, what is the predicted value of Y when X = 4?

If r = 0.7, what percentage of the variation in the dependent variable is explained by the independent variable?

If the regression equation is Y = 4 - 0.5X, what is the value of Y when X = 6?

If the regression equation of Y on X is Y = 2X + 3, what is the predicted value of Y when X = 5?