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)

(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.

About

KS Teng

KS has been teaching H2/H1 Mathematics and IB mathematics for the more than 10 years. Having taught students from all various Junior Colleges, KS adapts to students' abilities and help them better understand the topics. As someone who loves to teach mathematics and sees it as a truly useful tool in life, KS seeks to enable students to appreciate math. Therefore, his tuition mission is to motivate and cultivate students to be independent and confident thinkers.

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

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