![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f1f395c54686034cf18b9a6720647a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
5 | 7 | 9 | 11 | |
200 | 298 | 431 | 609 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
模型①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a87f5ba2a14beed1de64b1437c450a8.png)
模型②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f572a2bc415f5154629842cb3db08f2.png)
其中模型①的残差(实际值-预报值)图如图所示:
![](https://img.xkw.com/dksih/QBM/2020/5/30/2473917949820928/2474092844408832/STEM/55dd0d56d4eb432f9c0fd16cf905c222.png?resizew=203)
(1)根据残差分析,判断哪一个更适宜作为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)市场前景风云变幻,研究人员统计了20个月的产品销售单价,得到频数分布表如下:
销售单价分组(万元) | |||
频数 | 10 | 6 | 4 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b06e95b57b7a81cd81d05557a11fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
授课量(单位:小时) | |||||
频数 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
课时量(单位:天) | |||||
频数 |
(1)估计
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
(2)若以(1)中确定的平均数作为上述一天的授课量.已知当地授课价为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dd550e1ad9bbf01687ffb4aab788ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3779b4ea5477aebfe85113b0de1d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
中国新能源汽车产销情况一览表 | ||||
新能源汽车生产情况 | 新能源汽车销售情况 | |||
产品(万辆) | 比上年同期 | 销量(万辆) | 比上年同期 | |
2018年3月 | 6.8 | 105 | 6.8 | 117.4 |
4月 | 8.1 | 117.7 | 8.2 | 138.4 |
5月 | 9.6 | 85.6 | 10.2 | 125.6 |
6月 | 8.6 | 31.7 | 8.4 | 42.9 |
7月 | 9 | 53.6 | 8.4 | 47.7 |
8月 | 9.9 | 39 | 10.1 | 49.5 |
9月 | 12.7 | 64.4 | 12.1 | 54.8 |
10月 | 14.6 | 58.1 | 13.8 | 51 |
11月 | 17.3 | 36.9 | 16.9 | 37.6 |
1-12月 | 127 | 59.9 | 125.6 | 61.7 |
2019年1月 | 9.1 | 113 | 9.6 | 138 |
2月 | 5.9 | 50.9 | 5.3 | 53.6 |
![](https://img.xkw.com/dksih/QBM/2020/1/11/2374768754638848/2374897034043392/STEM/e1e06890d2344fd6bec97de501a99953.png?resizew=213)
根据上述图表信息,下列结论错误的是( )
A.2017年3月份我国新能源汽车的产量不超过![]() |
B.2017年我国新能源汽车总销量超过![]() |
C.2018年8月份我国新能源汽车的销量高于产量 |
D.2019年1月份我国插电式混合动力汽车的销量低于![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4a14279265fd731e467387ee649ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895b9f3df5efc5da06b61a94c1ecd7c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe443f2d4acd8417bf0d75f299fe4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbe6471715aea341f83bddbf7b0e68e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/0821581e-e464-47ea-b74a-e30992173754.png?resizew=230)
下表是设备升级后100个样本的质量指标值的频数分布表
质量指标值 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
频数 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
(1)以样本估计总体,若生产的合格品全部在当年内可以销售出去,计算设备升级前一件产品的利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)以样本估计总体,若某位患者从升级后生产的合格产品中随机购买两件,设其支付的费用为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27582493e2169299738c4ebc1c8d171c.png)
最高气温 | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
天数 | 4 | 14 | 36 | 28 | 5 | 3 |
(1)求这种酸奶一天的需求量不超过500瓶的概率的估计值;
(2)设六月份一天销售这种酸奶的利润为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c467b3b1418c041be4d7820d2530c83a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36582fd2973c8beb64f3a87be2350ac8.png)
![](https://img.xkw.com/dksih/QBM/2020/8/13/2527198390730752/2530392406958080/STEM/27bcb2d0-4240-473e-9f65-ba301a5c0985.png)
质量指标值 | 频数 |
![]() | 2 |
![]() | 8 |
![]() | 20 |
![]() | 30 |
![]() | 25 |
![]() | 15 |
合计 | 100 |
(1)请分别估计新、旧设备所生产的产品优质品率;
(2)优质品率是衡量一台设备性能高低的重要指标,优质品率越高说明设备的性能越高.根据已知图表数据填写下面列联表(单位:件),并判断是否有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b399e6815afcaa24f2889e58c79c10a1.png)
非优质品 | 优质品 | 合计 | |
新设备产品 | |||
旧设备产品 | |||
合计 |
(3)已知每件产品的纯利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccabb71debd3e6390c02b5cc32a672db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadc63e6e33743ce590ed968948a5a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1f959e5f8d89390f0f136f6acc9f6fb.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
7 . 某超市计划按月订购一种酸奶,每天进货量相同,进货成本每瓶4元,售价每瓶6元,未售出的酸奶降价处理,以每瓶2元的价格当天全部处理完.根据往年销售经验,每天需求量与当天最高气温(单位:℃)有关.如果最高气温不低于25,需求量为500瓶;如果最高气温位于区间[20,25),需求量为300瓶;如果最高气温低于20,需求量为200瓶.为了确定六月份的订购计划,统计了前三年六月份各天的最高气温数据,得下面的频数分布表:
最高气温 | [10,15) | [15,20) | [20,25) | [25,30) | [30,35) | [35,40) |
天数 | 2 | 16 | 36 | 25 | 7 | 4 |
以最高气温位于各区间的频率估计最高气温位于该区间的概率.
(1)求六月份这种酸奶一天的需求量不超过300瓶的概率;
(2)设六月份一天销售这种酸奶的利润为Y(单位:元),当六月份这种酸奶一天的进货量为450瓶时,写出Y的所有可能值,并估计Y大于零的概率.