3 marksCorrelation and Linear Regression - Bivariate Data

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 6(b)(ii)c)

The regression equation is y = 0.8x + 0.38.

Draw the regression line y = 0.8x + 0.38 on the same graph as the scatter diagram.

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Other parts of this question

6(a)(i)State appropriate null and alternative hypotheses for this test.[2 marks]
6(a)(ii)Determine the number of degrees of freedom for the test.[2 marks]
6(a)(iii)Determine the critical region for the test.[2 marks]
6(a)(iv)Copy and complete the table showing the expected frequencies for EACH cell.[3 marks]
6(a)(v)The calculated χ² test value is 9.534. Clearly state the conclusion that can be drawn from this test.[3 marks]
6(b)(i)On the graph sheet provided, plot these values as a scatter diagram.[3 marks]
6(b)(ii)a)Interpret the value 0.8 in the regression equation as it relates to the rainfall at the two stations.[2 marks]
6(b)(ii)b)Calculate the mean rainfall for Station A and for Station B.[3 marks]
6(b)(ii)d)Use the regression line to estimate the rainfall at Station B when the rainfall at Station A is 4.5 cm.[2 marks]

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