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)
您最近一年使用:0次
解题方法
2 . 科研人员在研制新冠肺炎疫苗过程中,利用小白鼠进行接种实验,现收集了小白鼠接种时的用药量x(单位:毫克)和有效度y的7组数据,得到如下散点图及其统计量的值:
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968696955789312/2976479526699008/STEM/6e5d4d68-ae43-4877-9eb3-10b5d0a641df.png?resizew=178)
其中
,
.
,
.
(1)根据散点图判断,
与
哪一个更适合作为有效度y与用药量x的回归方程类型?(给出判断即可,不必说明理由)
(2)根据(1)的判断结果及表中数据,建立y关于x的回归方程;
(3)若要使有效度达到75,则用药量至少为多少毫克?
2.7 | 13.4 | 182 | 54 | 86.4 |
![](https://img.xkw.com/dksih/QBM/2022/4/29/2968696955789312/2976479526699008/STEM/6e5d4d68-ae43-4877-9eb3-10b5d0a641df.png?resizew=178)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b078d393f40ee1aaa94c02097e0c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee53262716af01f292b376720b3cc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c54af7c34af685e56ff928f12fa1ede4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b7e3d39b476f8438b103ede00bf61a.png)
(1)根据散点图判断,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a5b1c19e4c57f1d259f8269e551c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5b75998316104f379d131d55957ff1.png)
(2)根据(1)的判断结果及表中数据,建立y关于x的回归方程;
(3)若要使有效度达到75,则用药量至少为多少毫克?
您最近一年使用:0次
2022-05-10更新
|
857次组卷
|
3卷引用:河南省周口市项城市第三高级中学2022-2023学年高二下学期第三次考试数学试卷(B)
河南省周口市项城市第三高级中学2022-2023学年高二下学期第三次考试数学试卷(B)河南省南阳市2021-2022学年高二下学期期中质量评估数学(文)试题(已下线)期末押题预测卷03(考试范围:选修二+选修三)-2021-2022学年高二数学下学期期末必考题型归纳及过关测试(人教A版2019)