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The following table shows the average weight, \(y\,kg\), of children aged \(x\,years\).

The relationship between the variables is modelled by the regression line with equation \(y = ax + b\).

1. 1. Find the value of \(a\) and the value of \(b\).
   2. Write down the correlation coefficient.
2. Use your equation to estimate the average weight of a child aged \(1.95\,years\).