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1 markCorrelation and Linear Regression - Bivariate Data

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 6(a)(iii)

Identify the independent variable for each given pair of bivariate data.

Identify the independent variable between: The damage done to a certain home after a hurricane, and The amount of money spent in repairs to a certain home after a hurricane.

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  1. 6(a)(i)Identify the independent variable between: The income of a family, and The monthly rent paid.[1 mark]
  2. 6(a)(ii)Identify the independent variable between: The advertising expense of a company, and The sales of a company.[1 mark]
  3. 6(b)(i)Use graph paper to plot these values in a scatter diagram.[3 marks]
  4. 6(b)(ii)Calculate the mean age of the operators and the mean number of days required for training, to the NEAREST whole number.[3 marks]
  5. 6(b)(iii)Plot the point (x̄, ȳ) on the scatter diagram.[1 mark]
  6. 6(b)(iv)Draw the regression line of y on x given by y = -0.05 + 0.27x on the same graph as the scatter diagram.[3 marks]
  7. 6(b)(v)Use the regression line to estimate the number of days required to train a new operator aged 22 years, to the NEAREST whole number.[2 marks]
  8. 6(c)(i)State appropriate null and alternate hypotheses for this chi-squared test.[2 marks]
  9. 6(c)(ii)Determine the critical value of the test at the 5% level of significance.[3 marks]
  10. 6(c)(iii)Calculate the expected number of students who attended School B and received a Grade II.[3 marks]
  11. 6(c)(iv)Given the calculated chi-squared test value is 9.1625, clearly state the conclusion that may be drawn.[2 marks]

More practice: the rest of this paper · more Correlation and Linear Regression - Bivariate Data questions · all CAPE Applied Mathematics Unit 1 past papers