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在样本点 \(({x_i},{y_i})(i = 1,2, \cdots ,6)\) 的散点图中,所有的点都在曲线 \(y = b{x^2} - \frac{1}{2}\) 附近波动.经计算 \(\sum\limits_{i = 1}^6 {{x_i}} = 12\),\(\sum\limits_{i = 1}^6 {{y_i}} = 14\),\(\sum\limits_{i = 1}^6 {x_i^2} = 23\), 则实数 \(b\) 的值为___.
参考答案:\(\frac{{17}}{{23}}\)
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