The following table below shows the marks scored by seven students on two different mathematics tests.
| Test 1 (\(x\)) | \(15\) | \(23\) | \(25\) | \(30\) | \(34\) | \(34\) | \(40\) |
|---|---|---|---|---|---|---|---|
| Test 2 (\(y\)) | \(20\) | \(26\) | \(27\) | \(32\) | \(35\) | \(37\) | \(35\) |
Let \(L_1\) be the regression line of \(x\) on \(y\). The equation of the line \(L_1\) can be written in the form \(x = ay + b\).
Find the value of \(a\) and the value of \(b\).
[2]Let \(L_2\) be the regression line of \(y\) on \(x\). The lines \(L_1\) and \(L_2\) pass through the same point with coordinates \( (p, q) \).
Find the value of \(p\) and the value of \(q\).
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