Correlation and Regression
Math ⇒ Statistics and Probability
Correlation and Regression starts at 11 and continues till grade 12.
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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.
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.
Which of the following correlation coefficients indicates no linear relationship?
(1) 1
(2) 0
(3) -1
(4) 0.5
Which of the following is a limitation of the correlation coefficient?
(1) It only measures linear relationships
(2) It can be used for any type of data
(3) It always indicates causation
(4) It is unaffected by outliers
Which of the following is a possible value for the coefficient of determination (R²)?
(1) -0.5
(2) 0.3
(3) 1.2
(4) -1
Which of the following is NOT a type of correlation?
(1) Positive
(2) Negative
(3) Zero
(4) Circular
Fill in the blank: If the points on a scatter plot lie exactly on a straight line with a negative slope, the correlation coefficient is ______.
Fill in the blank: The formula for the slope (b) of the regression line Y on X is b = ______ / Sxx, where Sxy is the sum of the products of deviations.
Fill in the blank: The regression line always passes through the point (______, ______), where these are the means of X and Y.
Fill in the blank: The y-intercept (a) of the regression line Y = a + bX can be found using the formula a = ______ - b(mean of X).
True or False: A correlation coefficient of zero always means there is no relationship between two variables.
True or False: A negative correlation means that as one variable increases, the other decreases.
True or False: If two variables are highly correlated, one must cause the other.
True or False: The correlation coefficient is affected by the units of measurement of the variables.
