<p style="margin-bottom: 0.75rem">A car is placed in a wind tunnel and the drag force $F$ for different wind speeds, v, in appropriate units, is recorded. The results are shown in the table.</p>
<div class="content-block content-block--table"><div class="table-container"><table style="table-layout: fixed; width: 430px;"><colgroup><col style="width: 30px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"><col style="width: 40px;"></colgroup><thead><tr style="height: 23px;"><th style="height: 23px; min-height: 23px; text-align: left; --cell-justify: flex-start"><p>$v$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$0$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$4$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$8$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$12$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$16$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$20$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$24$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$28$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$32$</p></th><th style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$36$</p></th></tr></thead><tbody><tr style="height: 23px;"><td style="height: 23px; min-height: 23px; text-align: left; --cell-justify: flex-start"><p>$F$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$0$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$2.5$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$5.1$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$8.8$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$11.2$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$13.6$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$17.6$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$22.0$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$27.8$</p></td><td style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$33.9$</p></td></tr></tbody></table></div></div>
<ol class="i-list"><li><div class="list-item-paragraph">Draw the scatter diagram for these values, labeling the axes clearly.</div></li><li><div class="list-item-paragraph">It is thought that the drag force $F$ can be modeled by one of the formulae</div><div class="list-item-paragraph" style="text-align: center">$F=a+bv$   or   $F=c+d{{v}^{2}}$</div><div class="list-item-paragraph">Use your answer to part <strong>(i)</strong> to explain which of $F=a+bv$ or $F=c+d{{v}^{2}}$ is the better model.	</div></li></ol>

A car is placed in a wind tunnel and the drag force $F$ for different wind speeds, v, in appropriate units, is recorded. The results are shown in the table.

Draw the scatter diagram for these values, labeling the axes clearly.

It is thought that the drag force $F$ can be modeled by one of the formulae

Use your answer to part **(i)** to explain which of $F=a+bv$ or $F=c+d{{v}^{2}}$ is the better model.	

Hypothesis Testing

International Baccalaureate Higher Level Mathematics

N2010 P2 Q10 [Modified]

N2010 P2 Q10 [Modified]