2010 MI P2 Q8
In a particular study, a medical student recorded the age and blood pressure of 8 men. The regression line of $y$ on $x$ is determined to be $y=1.144x+79.914$. Unfortunately, the student then lost the record of one of the men. He urgently needs the missing data, $b$ in his report.
(i)
Show that $b$ is 130.
[3]
(ii)
Draw a scatter diagram for the data in the table.
[2]
(iii)
Find the linear product moment correlation coefficient between $y$ and $x$.
[1]
(iv)
Use the given regression line to estimate the age of a man when his blood pressure is $150$, giving your answer to the nearest integer.
[1]
(v)
Explain whether this choice of the regression line is appropriate.
[1]
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