2 marksCorrelation and Linear Regression - Bivariate Data

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

The regression equation is y = 0.8x + 0.38.

Interpret the value 0.8 in the regression equation as it relates to the rainfall at the two stations.

The mark scheme is shown once you've answered.

Practise this question

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)b)Calculate the mean rainfall for Station A and for Station B.[3 marks]
6(b)(ii)c)Draw the regression line y = 0.8x + 0.38 on the same graph as the scatter diagram.[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]

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