Heat strokes precautions include measuring the body temperatures of students before and after Physic

Question

Heat strokes precautions include measuring the body temperatures of students before and after Physical Education (PE) lessons. The table below shows the body temperature readings of a random sample of $8$ students, taken before a particular PE lesson ($x$ ${}^\circ$C) and taken immediately after the PE lesson ($y$ ${}^\circ$C). Student$1$$2$$3$$4$$5$$6$$7$$8$ $x$$36.1$$35.9$$36.3$$37.0$$37.2$$36.8$$35.7$$36.6$ $y$$37.0$$36.6$$37.1$$39.9$$38.5$$38.0$$36.5$$38.0$ Give a sketch of the scatter diagram for the data, as shown on your calculator.[2] One of the points does not seem to follow the trend. Write down the coordinates of this point.[1] For the rest of the question, this point is removed. Find the value of $r$, the product moment correlation coefficient.[1] Find the equation of the regression line of $y$ on $x$, in the form $y = mx + c$, giving the values of $m$ and $c$ correct to $3$ significant figures.[1] The body temperature of Teo before this PE lesson is $36.7$ ${}^\circ$C. Use your regression line in part (d) to calculate an estimate of his body temperature immediately after the PE lesson. Comment on the reliability of your estimate.[3]

Accepted Answer

(b)(37.0,39.9) (c)r=0.981 (d)$y=1.44x-15.1$ (e)estimate = 37.9$^\circ C$, reliable

2024 RI H1 Q9

2024 RI H1 Q9