20-21高一下·浙江·期末
1 . 生物学家认为,睡眠中的恒温动物依然会消耗体内能量,主要是为了保持体温.脉搏率
是单位时间心跳的次数,医学研究发现,动物的体重
(单位:
)与脉搏率
存在着一定的关系.表1给出一些动物体重与脉搏率对应的数据,图1画出了体重
与脉搏率
的散点图,图2画出了
与
的散点图.
表1
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/2d143ef1a0204cf084fe080e36d49f58.png?resizew=345)
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/ec04a2aedd34403db301ca97b4b4aea1.png?resizew=392)
为了较好地描述体重和脉搏率的关系,现有以下两种模型供选择:
①
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52d590d6a2ded085d08e1fac00b1cc7.png)
(1)选出你认为最符合实际的函数模型,并说明理由;
(2)不妨取表1中豚鼠和兔的体重脉搏率数据代入所选函数模型,求出
关于
的函数解析式;
(3)若马的体重是兔的256倍,根据(2)的结论,预计马的脉搏率.
(参考数据:
,
.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3960d67499df76159982657fe3a1cbca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f8869ab9f40c2e8a679b8f3b10a2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0512465cfd05fde6f6eb46909b235f4.png)
动物名 | 体重 | 脉搏率 |
鼠 | 25 | 670 |
大鼠 | 200 | 420 |
豚鼠 | 300 | 300 |
兔 | 2000 | 200 |
小狗 | 5000 | 120 |
大狗 | 30000 | 85 |
羊 | 50000 | 70 |
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/2d143ef1a0204cf084fe080e36d49f58.png?resizew=345)
![](https://img.xkw.com/dksih/QBM/2021/1/28/2645871397388288/2646773064622080/STEM/ec04a2aedd34403db301ca97b4b4aea1.png?resizew=392)
为了较好地描述体重和脉搏率的关系,现有以下两种模型供选择:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd943821953cd4c65a1dbe5ce6ff302.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52d590d6a2ded085d08e1fac00b1cc7.png)
(1)选出你认为最符合实际的函数模型,并说明理由;
(2)不妨取表1中豚鼠和兔的体重脉搏率数据代入所选函数模型,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(3)若马的体重是兔的256倍,根据(2)的结论,预计马的脉搏率.
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5114e1dbd4fc973e99293e1fdb3def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4e59fcd160b7bdf6bc68814667faa7.png)
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2021-01-29更新
|
997次组卷
|
3卷引用:【新东方】双师152高一下
名校
2 . 为利于分层教学,某学校根据学生的情况分成了A,B,C三类,经过一段时间的学习后在三类学生中分别随机抽取了1个学生的5次考试成缎,其统计表如下:
A类
,
;
B类
,
;
C类
,
;
(1)经计算已知A,B的相关系数分别为
,
.,请计算出C学生的
的相关系数,并通过数据的分析回答抽到的哪类学生学习成绩最稳定;(结果保留两位有效数字,
越大认为成绩越稳定)
(2)利用(1)中成绩最稳定的学生的样本数据,已知线性回归直线方程为
,利用线性回归直线方程预测该生第十次的成绩.
附相关系数
,线性回归直线方程
,
,
.
A类
第x次 | 1 | 2 | 3 | 4 | 5 |
分数y(满足150) | 145 | 83 | 95 | 72 | 110 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a1fe3106fb7d963494b973888c3e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ad7b04d7d5c4045a68a13564e08602.png)
B类
第x次 | 1 | 2 | 3 | 4 | 5 |
分数y(满足150) | 85 | 93 | 90 | 76 | 101 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a1fe3106fb7d963494b973888c3e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac89a58ebd51b6b7e807a65ee8e0d601.png)
C类
第x次 | 1 | 2 | 3 | 4 | 5 |
分数y(满足150) | 85 | 92 | 101 | 100 | 112 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a1fe3106fb7d963494b973888c3e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c77539d150aae1da724a19a46bf9e4c.png)
(1)经计算已知A,B的相关系数分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88becc9e32c05e91906ed8a02a1aec69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4a35d7200e70b1e869e7b6abcdce55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a47566c58997a38fe12bb9b26eb5bad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe9be2c6b3d8bf1e6ce9e9c0025ced7.png)
(2)利用(1)中成绩最稳定的学生的样本数据,已知线性回归直线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fd86243a76dcbc8815b38cc407cfc6.png)
附相关系数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a732ca99c5a0a494b498cd4dfb6561d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968668762b19917f4a5d423472598670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f4d3ab5f8ec8405fe32fd181ce32.png)
您最近一年使用:0次
2019-07-04更新
|
1542次组卷
|
3卷引用:河南省郑州市中原区第一中学2018-2019学年高一下学期期中数学试题
3 . 一只红铃虫的产卵数
和温度
有关,现收集了4组观测数据列于下表中,根据数据作出散点图如下:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/4d8b8a70-1c3e-4f8f-89b9-6fd5264bf058.png?resizew=228)
(1)根据散点图判断
与
哪一个更适宜作为产卵数
关于温度
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
关于
的回归方程(数字保留2位小数);
(3)要使得产卵数不超过50,则温度控制在多少
以下?(最后结果保留到整数)
参考数据:
,
,
,
,
,
,
,
,
,
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
温度![]() | 20 | 25 | 30 | 35 |
产卵数![]() | 5 | 20 | 100 | 325 |
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/4d8b8a70-1c3e-4f8f-89b9-6fd5264bf058.png?resizew=228)
(1)根据散点图判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b447ac3d1a965572c31b6e4c18d4b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a6223e7d3eaa59a073110a7ea26c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)根据(1)的判断结果及表中数据,建立
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)要使得产卵数不超过50,则温度控制在多少
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c48bfde6d420fdda27b0b478db135e3.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3264fa1024b5c752118ca8fdf32e0f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca64eb07406d9299d40da438d26db7c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706d48c0ca5a1b0626d9222bc84295e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff4bd64ef8d4e79e121960354ad80f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d19362e6710d6367955f111e0629f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ba9bd0fa2d751ebcd89f66c098d577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6562fa9e35246f87c7e9ee96616614f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24217f238526cd331eddbb71f118f4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fdeee6941b0598db7e11ce233b853e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77973467006f179186be8f68b20ab801.png)
![]() | 5 | 20 | 100 | 325 |
![]() | 1.61 | 3 | 4.61 | 5.78 |
您最近一年使用:0次
2019-01-22更新
|
1543次组卷
|
5卷引用:【市级联考 】湖北省十堰市2018-2019学年高一下学期第一次月考数学试题
4 . 某特色餐馆开通了美团外卖服务,在一周之内的某特色菜外卖份数
(份)与收入
(元)之间有如下的对应数据:
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984220637487104/1985715957899264/STEM/2bc76a3cb9c24403bf9c5edc91e42746.png?resizew=649)
(1)画出散点图;
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984220637487104/1985715957899264/STEM/d50483f6ca464de99c8d269d1922acab.png?resizew=273)
(2)求回归直线方程;
(3)据此估计外卖份数为12份时,收入为多少元.
注:参考公式:线性回归方程系数公式
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40ea92b18e6a33485441818d471945f.png)
参考数据:
,
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984220637487104/1985715957899264/STEM/2bc76a3cb9c24403bf9c5edc91e42746.png?resizew=649)
(1)画出散点图;
![](https://img.xkw.com/dksih/QBM/2018/7/8/1984220637487104/1985715957899264/STEM/d50483f6ca464de99c8d269d1922acab.png?resizew=273)
(2)求回归直线方程;
(3)据此估计外卖份数为12份时,收入为多少元.
注:参考公式:线性回归方程系数公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9705b34ce41bc38410806aae00089099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40ea92b18e6a33485441818d471945f.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff8994704df1c297dee1ebaec19c57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a83b2e51d7a12d3c3b63eb05a631e7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc5ea4f4e91392870dc8fc7b63c033a.png)
您最近一年使用:0次
10-11高一下·广东佛山·期末
5 . .以下是粤西地区某县搜集到的新房屋的销售价格
和房屋的面积
的数据:
![](https://img.xkw.com/dksih/QBM/2011/7/21/1570270726905856/1570270732206080/STEM/fcf889a2b9534bfc81ff5ea4cd170d90.png?resizew=387)
(1)画出数据散点图;
(2)由散点图判断新房屋销售价格y和房屋面积x是否具有线性相关关系?若有,求线性回归方程.(保留四位小数)
(3)根据房屋面积预报销售价格的回归方程,预报房屋面积为
时的销售价格.
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
参考数据:
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c476a88dc949d4f5da935e775fc524db.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2011/7/21/1570270726905856/1570270732206080/STEM/fcf889a2b9534bfc81ff5ea4cd170d90.png?resizew=387)
(1)画出数据散点图;
(2)由散点图判断新房屋销售价格y和房屋面积x是否具有线性相关关系?若有,求线性回归方程.(保留四位小数)
(3)根据房屋面积预报销售价格的回归方程,预报房屋面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9022917fd9cfb3d774d3879ede3fbb0.png)
参考公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2bfd074e348d440de087e0923c94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c9546fc3beb3bcc0ead045908dbfce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c476a88dc949d4f5da935e775fc524db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c704d46a0b80460758b968c25b6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d2e91512fa2dfcc55bcae42378f323.png)
您最近一年使用:0次