解题方法
1 . 两个具有相关关系的变量
的一组统计数据为
,
,…
.其样本中心点为
,且由统计知
,
,样本相关系数
.
(1)求
;
(2)根据样本相关系数
以及下面所附公式,建立
关于
的经验回归方程.
附:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a79a33a83a7ba57a34b5093d1d1d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92abae836b8026511113ad8c3ea23028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f33e45e7a56dc79fcd02b0c2082c7b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17524485089e2090171370219b89afdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5402b137bd603a174cfad6bd7c483e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4607dfd06d9b5f347b72cff02577f6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2db433a2097a6aeb2eefd84ae8e48a.png)
(2)根据样本相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fe983c17900f15b2b067d4f46caf85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9218b61bbc7b5304adf61be07f0a98ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40ea92b18e6a33485441818d471945f.png)
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