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.
(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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