2025 Nov TZ1 P2 Q3

2025 Nov TZ1 P2 Q3

7 marks

Data was collected on two variables, \(x\) and \(y\), from eight members of a population. The data is shown in the table below.

\(x\)\(3.8\)\(6.3\)\(2.5\)\(2.4\)\(8.9\)\(10.7\)\(6.7\)\(10.3\)
\(x\)\(11.8\)\(9.7\)\(6.1\)\(4.1\)\(p\)\(23.3\)\(13.7\)\(24.5\)
  1. Find \(\bar{x}\).

    [2]

The regression line of \(y\) on \(x\) for this data is \(y = 0.014375 + 2.1625x\).

  1. Find

    [4]
    1. \(\bar{y}\) ;

    2. the value of \(p\).

  2. Hence, find Pearson's product-moment correlation coefficient, \(r\).

    [1]
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