1 . 某公司对新研发的一种产品进行试销,得到如下数据及散点图:
![](https://img.xkw.com/dksih/QBM/2017/8/14/1752110108680192/1752612555096064/STEM/15971b27b46349d9b9f1cf82dc0fea4f.png?resizew=554)
其中
,
,
,
.
(1)根据散点图判断
与
,
与
哪一对具有较强的线性相关性(给出判断即可,不必说明理由)?
(2)根据(1)的判断结果及数据,建立
关于
的回归方程(运算过程及回归方程中的系数均保留两位有效数字).
(3)定价为150元/
时,天销售额的预报值为多少元?
附:对于一组数据
,其回归直线
的斜率和截距的最小二乘法估计分别为
![](https://img.xkw.com/dksih/QBM/2017/8/14/1752110108680192/1752612555096064/STEM/15971b27b46349d9b9f1cf82dc0fea4f.png?resizew=554)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03e1f42c64da0162a602935ae8719d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad1472512dda07f194b5d8e5d746f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f333ec46a54ff964912679b843b1fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4abb770fb174cf728c94190b1b5410.png)
(1)根据散点图判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)根据(1)的判断结果及数据,建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)定价为150元/
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a541551402a5fadca4831fe902e95c61.png)
附:对于一组数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b489278911694218b2a652febb1a868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4fc3c1a8a6d34e2bed5842b13d2082.png)
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