Leg length ($L\text{ cm}$) $85$ $82$ $78$ $91$ $76$ $84$ $80$ $88$ Race time (\(T\

Question

Leg length ($L\text{ cm}$) $85$ $82$ $78$ $91$ $76$ $84$ $80$ $88$ Race time ($T\text{ seconds}$) $65.2$ $67.3$ $70.0$ $60.8$ $72.5$ $66.1$ $68.9$ $62.4$ The equation of the regression line $T$ on $L$ for this data can be written in the form $T=aL+b$. Find the value of $a$ and the value of $b$. Write down the value of the Pearson’s product-moment correlation coefficient, $r$. Use the equation of the regression line of $T$ on $L$ to predict the time of a student with leg length $79\text{ cm}$. The equation of the regression line of $L$ on $T$ for this data can be written in the form $L=pT+q$. Find the value of $p$ and the value of $q$.

Accepted Answer

(a) $a=-0.767,\ b=130$ (b) $r=-0.996$ (c) $69.7\text{ s}$ (d) $p=-1.29,\ q=169$

IB AA HL May 2026 P2 TZC Q1

IB AA HL May 2026 P2 TZC Q1

Solution:

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