Correlation and Regression
Math ⇒ Statistics and Probability
Correlation and Regression starts at 11 and continues till grade 12.
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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 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.
Which of the following best describes the purpose of regression analysis?
(1) To measure the strength of association between two variables
(2) To predict the value of one variable based on another
(3) To find the mean of a dataset
(4) To calculate the standard deviation
Which of the following is a limitation of correlation analysis?
(1) It cannot detect non-linear relationships
(2) It can only be used for large datasets
(3) It always implies causation
(4) It is unaffected by outliers
Which of the following is NOT a possible value for the correlation coefficient?
(1) 0.99
(2) -1.2
(3) 0
(4) -0.75
Which of the following is NOT a type of correlation?
(1) Positive
(2) Negative
(3) Zero
(4) Circular
Fill in the blank: In regression analysis, the variable being predicted is called the ________ variable.
Fill in the blank: The difference between the observed value and the predicted value in regression is called the ________.
Fill in the blank: The independent variable in regression is also called the ________ variable.
Fill in the blank: The method of least squares minimizes the sum of the squares of the ________.
Is it possible for two variables to have a strong non-linear relationship but a correlation coefficient close to zero?
True or False: A correlation coefficient of 0 means there is no relationship between two variables.
True or False: A positive correlation means that as one variable increases, the other variable also increases.
True or False: If the correlation coefficient is close to zero, the regression line will be almost horizontal.
