2013 TJC P2 Q11(b)

Timothy Gan

2013 TJC P2 Q11(b)

May travels regularly from home to the hospital for treatment. She leaves home at $x$ minutes after 8 am and takes $y$ minutes to arrive at the hospital. Ten pairs of data are recorded in the table below.

2013 TJC P2 Q11(b)

(i)

Draw a scatter diagram to illustrate the data, labelling the axes clearly.

[1]

(ii)

Calculate the equation of the least squares regression line of $y$ on $x$ and the value of the linear product moment correlation coefficient for the data.

[3]

(iii)

Interpret the regression coefficient in the context of the question.

[1]

(iv)

Draw the regression line of $y$ on $x$ on the scatter diagram.

[1]

(v)

May has a hospital treatment appointment at 8.45 am on a particular day. If she leaves home at 8.10 am, explain whether she is likely to be on time for her hospital treatment. Comment on the reliability of your answer.

[3]

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Published: 8th August 2023

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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