Further Mathematics 9231: Bivariate data Topical Past Paper Questions
Cambridge AS & A Level Further Mathematics (9231) past-paper questions on Bivariate data, free. This topic is occasionally examined across 20 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
A random sample of five pairs of values of x and y is taken from a bivariate distribution. The values are shown in the following table, where p and q are constants. The equation of the regression line of y on x is $ y = -0.5x + 3.5 $. (i) Find the values of p and q.
For a random sample of 10 observations of pairs of values (x, y), the equation of the regression line of y on x is $ y = 1.1664 + 0.4604x $. It is given that $$ \Sigma x^{2}=1419.98\qquad\text{and}\qquad\Sigma y^{2}=439.68. $$ The mean value of y is 6.24. (i) Find the equation of…
Answer only one of the following two alternatives. ## EITHER A particle P of mass m is free to move on the smooth inner surface of a fixed hollow sphere of radius a. The centre of the sphere is O. The points A and $ A' $ are on the inner surface of the sphere, on opposite sides o…
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