| \(x\) | \(17\) | \(11\) | \(19\) | \(23\) | \(29\) | \(35\) | \(41\) |
|---|---|---|---|---|---|---|---|
| \(y\) | \(25\) | \(k\) | \(29\) | \(41\) | \(47\) | \(58\) | \(71\) |
The least square regression line of \(x\) on \(y\) has equation \(x=0.53806y+3.01639\). Find the value of \(k\).
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