2010 A-level H2 Mathematics (9740) Paper 2 Question 10 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Scatter Diagram 10(i)

Scatter Diagram 10(i)

(ii)
(a) r = 0.9860
(b) r = 0.9907

(iii) Since the product moment correlation coefficient is close to 1 for (ib), the model F = c+ dv^2 is the better model.

(iv) From GC, the regression line of F on v^2 is

F = 0.024242v^2 + 3.1957

F = 0.0242v^2 + 3.20 (3SF)

When F=26, 26 = 0.024242v^2 + 3.1957

\Rightarrow v = 30.7

Since v is the independent or controlled variable, neither the regression line of v \text{~on~} F nor the regression line of v^2 \text{~on~} F should be used.

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