某车间为了规定工时定额,需要确定加工零件所花费的时间,为此作了四次试验,得到的数据如下:
![](https://www.ebk.net.cn/tikuimages/2/2018/600/shoutiniao22/dabaf59b8f3d47cac8c98b14f86fb1d2.png)
\((1)\)求出\(y\)关于\(x\)的线性回归方程\(\hat {y}=\hat {b}x+\hat {a} \),并在坐标系中画出回归直线;
\((2)\)试预测加工\(10\)个零件需要多少小时?
\((\)注:\(\hat {b}= \dfrac{ \sum\nolimits_{i=1}^{n}{x}_{i}{y}_{i}-n \bar{x} \bar{y}}{ \sum\nolimits_{i=1}^{n}x_{i}^{2}-n{ \overset{¯}{x}}^{2}} \),\(\hat {a}= \bar{y}-\hat {b} \bar{x} \),\(\sum\limits_{i=1}^{4}{x}_{i}{y}_{i}=52.5, \sum\limits_{i=1}^{4}x_{i}^{2}=54 )\)