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 11

Given the data: x: 1, 2, 3, 4; y: 2, 3, 5, 7. Calculate the least squares regression line y on x.

Given the data: x: 2, 4, 6; y: 5, 9, 13. Find the equation of the regression line y on x.

Given the following data: x: 1, 2, 3; y: 2, 4, 6. Calculate the correlation coefficient.

Given the regression equation y = 2x + 3, what is the predicted value of y when x = 4?

Given the regression equation y = -2x + 7, what is the predicted value of y when x = 3?

Given the regression equation y = 3x + 2, what is the slope of the line?

If the correlation coefficient between two variables is -0.8, describe the relationship between the variables.

If the correlation coefficient is 0.6, how would you describe the strength of the linear relationship?

If the correlation coefficient is -1, what does this indicate about the relationship between the two variables?

If the points on a scatter plot lie exactly on a straight line with a positive slope, what is the value of the correlation coefficient?

If the regression equation is y = 0.5x + 2, what is the predicted value of y when x = 8?

If the regression equation is y = 5 - 0.7x, what is the value of y when x = 10?

If the regression line is y = 4x - 5, what is the y-intercept?