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

(i)

(ii)

(iii)
Since the date points exhibit a curvilinear relationship with a negative gradient and concaving downwards, Model A is the most appropriate.

From the Graphing Calculator, r $= -0.939$

(iv)
From the Graphing Calculator, required regression line: $y = 189.748 - 0.0046198 x^{2}$
$\therefore,~ \mathrm{Distance~travelled} = 134 \mathrm{km}$

KS Comments:

The first part of this question tests students on their understanding of graphs. Students that have difficulties with this, should attempt to fit in simple values into graphing calculator.

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