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4 marksCorrelation and Linear Regression - Bivariate Data

CAPE Applied Mathematics Unit 1 · 2022 · Paper 2 · Question 6(a)

A table shows training times x (in hours) and scores y obtained by 5 randomly selected athletes: sum xy = 1159.7, sum x^2 = 19359, sum y^2 = 69.82.

Calculate the gradient of the regression line y on x.

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Other parts of this question

  1. 6(b)Calculate the intercept of the regression line.[4 marks]
  2. 6(c)Interpret the value of the gradient in the context of the data.[2 marks]
  3. 6(d)Using the obtained regression equation (y = a + bx), determine the score of an athlete who trained 64 hours for the competition.[2 marks]
  4. 6(e)Calculate the correlation coefficient.[3 marks]
  5. 6(f)Interpret the value of the correlation coefficient calculated in (e).[3 marks]
  6. 6(g)On the grid provided on page 27, plot a scatter diagram to represent the information in the table. Draw the regression line on the same grid.[7 marks]

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