1 . 某数学小组从医院和气象局获得2018年1月至6月份每月20的昼夜温差
,(
)和患感冒人数(
/人)的数据,画出如图的折线图.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/82af0560-edbf-44de-8463-48e609d7687f.png?resizew=211)
(1)建立
关于
的回归方程(精确到0.01),预测2019年1月至6月份昼夜温差为
时患感冒的人数(精确到整数);
(2)求
与
的相关系数,并说明
与
的相关性的强弱(若
,则认为
与
具有较强的相关性),
参考数据:
,
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafbcf15aeb64e302d398be3a2442855.png)
相关系数:
,回归直线方程是
,
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8458ab7c8bdce0a95b5cb492e5968b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee18d7a40f7a7e0dc85b1bd75bf750c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/82af0560-edbf-44de-8463-48e609d7687f.png?resizew=211)
(1)建立
![](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/27c57466eae241d39d49588a30e9785d.png)
(2)求
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9188e8beae2369dd74fe780c7182a413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/001dd1499b035f64c1cd139fae443dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5481f0dc224c14d61e006d08dc29c044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51daad4bd34fc5d0c4ee4a1df48f89f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647b73084b0caa1d0b51ebbf08072b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafbcf15aeb64e302d398be3a2442855.png)
相关系数:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5019f565326c6fec3a2494e5955a5bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10cb9fd6d5c388cd9d28556d9e9dd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ec30e9316c79d956b7c9a483a91632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d35f886f6b590a2db330269ea9d939.png)
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