名校
1 . 某创业者计划在南山旅游景区附近租赁一套农房发展成特色“农家乐”,为了确定未来发展方向,此创业者对该景区附近五家“农家乐”跟踪调查了100天,这五家“农家乐”的收费标准互不相同,得到的统计数据如下表,x为收费标准(单位:元/日),t为入住天数(单位:天),以入住天数的频率作为各自的“入住率”,收费标准x与入住率y的散点图如图.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/8a4035b3-8ed6-4fc3-acf4-486e47b3fb02.png?resizew=301)
(1)若从以上五家“农家乐”中随机抽取两家深入调查,记
为“入住率”超过
的农家乐的个数,求
的分布列;
(2)令
,由散点图判断
与
哪个更合适于此模型(给出判断即可,不必说明理由)?并根据你的判断结果求回归方程;(
,
的结果精确到
)
(3)根据第(2)问所求的回归方程,试估计收费标准为多少时,100天销售额Q最大?(100天销售额
入住率
收费标准x)
参考数据:
,
,
,
,
,
,
,
,
,
.
x | 100 | 150 | 200 | 300 | 450 |
y | 90 | 65 | 45 | 30 | 20 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/8a4035b3-8ed6-4fc3-acf4-486e47b3fb02.png?resizew=301)
(1)若从以上五家“农家乐”中随机抽取两家深入调查,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e5db9fa0bc36e2308bd3eecd5e78351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b734e8f1546481e3eb4976008a045de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597ff502ac689aea0659752cdfbf48bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df7e82b85e060f30f81632bd4b7e3ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27478e095e24010accfc838d8421abf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0032ca31e3cba58f973c6e75b907fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc5505526d11946ca7d3a4421a9e08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
(3)根据第(2)问所求的回归方程,试估计收费标准为多少时,100天销售额Q最大?(100天销售额
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d772232f1e10b5699e1f355a57eedf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2468403b3eba9e40bfa36f464e927738.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a32dc60b861e6aa4bdfcc6f594b527c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dee74594b683ef77bc5537dc77e3114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f5d1a465d96a6a494bcc1bc5aec39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46be9c0cc5d3df556d311a2ff58fdb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39be857c20f56df4f64cecc9c689d7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd89f5cbd05e97d644fb2e71224ecd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/899af244c416c4cd809ef1956d6367b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78753e70e7f13798476632ac3a3a4d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516a27f10d376cfbc11d649ed813f2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8fb32f3e93e9dc8b60097971d77b45.png)
您最近一年使用:0次
2021-09-17更新
|
915次组卷
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9卷引用:重庆市第十一中学2022届高三上学期9月月考数学试题
重庆市第十一中学2022届高三上学期9月月考数学试题湖南省长沙市第一中学2020届高三第一次月考数学(理)试题江西省吉安市吉州区吉安市白鹭洲中学2019-2020学年高三上学期11月月考数学(理)试题(已下线)江西省南昌市南昌县高三上学期期末数学试题(已下线)8.3 统计案例(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)专题17 概率统计(解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)(已下线)第48讲 统计案例-2022年新高考数学二轮专题突破精练(已下线)押全国卷(理科)第18题 概率与统计-备战2022年高考数学(理)临考题号押题(全国卷)福建省晋江二中、鹏峰中学、广海中学、泉港五中2021-2022学年高二下学期期末联考数学试题
2 . 一只红铃虫的产卵数
和温度
有关.现收集了7组观测数据如下表:
为了预报一只红铃虫在
时的产卵数,根据表中的数据建立了
与
的两个回归模型.模型①:先建立
与
的指数回归方程
,然后通过对数变换
,把指数关系变为
与
的线性回归方程:
;模型②:先建立
与
的二次回归方程
,然后通过变换
,把二次关系变为
与
的线性回归方程:
.
(1)分别利用这两个模型,求一只红铃虫在
时产卵数的预测值;
(2)你认为用哪个模型得到的预测值更可靠?并说明理由.(参考数据:模型①的残差平方和
,模型①的相关指数
;模型②的残差平方和
,模型②的相关指数
;
,
,
;
,
,
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
温度 | 21 | 23 | 25 | 27 | 29 | 32 | 35 |
产卵数 | 7 | 11 | 21 | 24 | 66 | 115 | 325 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a600c1c189eaa1305f5e10bf745a7656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9607020fd3480f5cc027909a0a27fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae64956e5812f2551372510927128967.png)
![](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/f201f76bd7ccbab5940bec5c54badda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fccf23591a6b1cbc9df79e0f661e66.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/014195e5bf166798c8570535a737dac7.png)
(1)分别利用这两个模型,求一只红铃虫在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36581140ebac5d28438ea63b1b23b65.png)
(2)你认为用哪个模型得到的预测值更可靠?并说明理由.(参考数据:模型①的残差平方和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c84c282cab94b92a7b043477bbcf7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311bba1614e71e85f05a55bbb7a7f5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfd3e734411a33b9ce9b16467ad2347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a513446e08aa2991cd21e87e38b0f754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3b529ed23b5dd0634fae7e7aec5cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20049ed2191f17a19905ec260cf4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f24be870878608b5e040c8f4d06759d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58b2a9b7de90939833a0371c0718a7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fa6e043c8fd555e5ca06231d90e814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5792f5108b43f2875ddfa48d389ef967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d3358008ffad549bcc9b911d9df129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b6864a56a55f5263204fe3dbca5216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61d5042a4b1b1207aa598edf0beca1f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c88879df79166cb6044b0fd8b015a8b.png)
您最近一年使用:0次
2020-02-29更新
|
389次组卷
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2卷引用:重庆市广益中学校2022-2023学年高二下学期期末数学试题