当某个变量大于均值为1 小于均值为0 可以被称为虚拟变量么 描述性统计分析时虚拟变量需要列均值么

\u5728\u53d8\u91cf\u5206\u7ec4\u65f6\uff0c\u5c06\u4e00\u4e2a\u53d8\u91cf\u503c\u4f5c\u4e3a\u4e00\u7ec4\u5219\u79f0\u4e3a\uff08 \uff09\u5206\u7ec4\uff1b\u628a\u67d0\u4e00\u533a\u95f4\u7684\u53d8\u91cf\u503c\u4f5c\u4e3a\u4e00\u7ec4\u5219\u79f0\u4e3a\uff08 \uff09\u5206\u7ec4\uff1f

\u300a\u7edf\u8ba1\u5b66\u539f\u7406\u300b\u671f\u672b\u8003\u8bd5\u6a21\u62df\u8bd5\u9898
\u8c22\u98962004-05-10 09:55
\u300a\u7edf\u8ba1\u5b66\u539f\u7406\u300b\u671f\u672b\u8003\u8bd5\u6a21\u62df\u8bd5\u9898
\u4e00\u3001 \u586b\u7a7a\u9898\uff08\u6bcf\u5c0f\u98982\u5206\uff0c\u517110\u5206\uff09
1\uff0e \u8868\u793a\u5355\u4f4d\u5c5e\u6027\u65b9\u9762\u7279\u5f81\u7684\u6807\u5fd7\u662f_______\uff0c\u800c\u8868\u793a\u5355\u4f4d\u6570\u91cf\u65b9\u9762\u7279\u5f81\u7684\u6807\u5fd7\u662f________\u3002
2\uff0e \u4efb\u4f55\u4e00\u4e2a\u7edf\u8ba1\u5206\u5e03\u90fd\u5fc5\u987b\u6ee1\u8db3___________\u548c_____________\u4e24\u4e2a\u6761\u4ef6\u3002
3\uff0e \u62bd\u6837\u4f30\u8ba1\u5c31\u662f\u5229\u7528\u5b9e\u9645\u8c03\u67e5\u8ba1\u7b97\u7684_____________\u6765\u4f30\u8ba1\u76f8\u5e94\u7684______________\u6570\u503c\u3002
4\uff0e \u56de\u5f52\u5206\u6790\u4e2d\u56e0\u53d8\u91cf\u662f_________\u53d8\u91cf\uff0c\u800c\u81ea\u53d8\u91cf\u662f\u4f5c\u4e3a\u53ef\u63a7\u5236\u7684___________\u53d8\u91cf\u3002
5\uff0e \u7edf\u8ba1\u603b\u6307\u6570\u7684\u8ba1\u7b97\u5f62\u5f0f\u6709_____________\u548c________________\u3002


\u4e8c\u3001 \u5224\u65ad\u9898\uff08\u6bcf\u5c0f\u98982\u5206\uff0c\u517110\u5206\uff09
1\uff0e \u666e\u67e5\u4e00\u822c\u7528\u6765\u8c03\u67e5\u5c5e\u4e8e\u4e00\u5b9a\u65f6\u70b9\u4e0a\u793e\u4f1a\u7ecf\u6d4e\u73b0\u8c61\u7684\u6570\u91cf\uff0c\u5b83\u5e76\u4e0d\u6392\u65a5\u5bf9\u5c5e\u4e8e\u65f6\u671f\u73b0\u8c61\u7684\u9879\u76ee\u7684\u8c03\u67e5\u3002\uff08 \uff09
2\uff0e \u540c\u4e00\u4e2a\u603b\u4f53\uff0c\u65f6\u671f\u6307\u6807\u503c\u7684\u5927\u5c0f\u4e0e\u65f6\u671f\u957f\u77ed\u6210\u6b63\u6bd4\uff0c\u65f6\u70b9\u6307\u6807\u503c\u7684\u5927\u5c0f\u4e0e\u65f6\u70b9\u95f4\u9694\u6210\u53cd\u6bd4\u3002\uff08 \uff09
3\uff0e \u5728\u62bd\u6837\u63a8\u65ad\u4e2d\uff0c\u5168\u53ca\u6307\u6807\u503c\u662f\u786e\u5b9a\u7684\u3001\u552f\u4e00\u7684\uff0c\u800c\u6837\u672c\u6307\u6807\u503c\u662f\u4e00\u4e2a\u968f\u673a\u53d8\u91cf\u3002\uff08 \uff09
4\uff0e \u62bd\u6837\u6210\u6570\u7684\u7279\u70b9\u662f\uff1a\u6837\u672c\u6210\u6570\u8d8a\u5927\uff0c\u5219\u62bd\u6837\u5e73\u5747\u8bef\u5dee\u8d8a\u5927\u3002\uff08 \uff09
5\uff0e \u5728\u5404\u79cd\u52a8\u6001\u6570\u5217\u4e2d\uff0c\u6307\u6807\u503c\u7684\u5927\u5c0f\u90fd\u53d7\u5230\u6307\u6807\u6240\u53cd\u6620\u7684\u65f6\u671f\u957f\u77ed\u7684\u5236\u7ea6\u3002\uff08 \uff09


\u4e09\u3001 \u5355\u9009\u9898\uff08\u6bcf\u5c0f\u98982\u5206\uff0c\u517112\u5206\uff09
1\uff0e\u6784\u6210\u7edf\u8ba1\u603b\u4f53\u7684\u4e2a\u522b\u4e8b\u7269\u79f0\u4e3a\uff08 \uff09
A\uff0e\u8c03\u67e5\u5355\u4f4d B. \u6807\u5fd7\u503c C. \u54c1\u8d28\u5355\u4f4d D. \u603b\u4f53\u5355\u4f4d
2. \u590d\u5408\u5206\u7ec4\u662f ( )
A.\u7528\u540c\u4e00\u6807\u5fd7\u5bf9\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u603b\u4f53\u5c42\u53e0\u8d77\u6765\u8fdb\u884c\u5206\u7ec4
B.\u5bf9\u67d0\u4e00\u603b\u4f53\u9009\u62e9\u4e00\u4e2a\u590d\u6742\u7684\u6807\u5fd7\u8fdb\u884c\u5206\u7ec4
C.\u5bf9\u540c\u4e00\u603b\u4f53\u9009\u62e9\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u6807\u5fd7\u5c42\u53e0\u8d77\u6765\u8fdb\u884c\u5206\u7ec4
D.\u5bf9\u540c\u4e00\u603b\u4f53\u9009\u62e9\u4e24\u4e2a\u6216\u4e24\u4e2a\u4ee5\u4e0a\u7684\u6807\u5fd7\u5e76\u5217\u8d77\u6765\u8fdb\u884c\u5206\u7ec4
3. \u603b\u91cf\u6307\u6807\u6309\u53cd\u6620\u65f6\u95f4\u72b6\u51b5\u7684\u4e0d\u540c,\u5206\u4e3a ( )
A.\u6570\u91cf\u6307\u6807\u548c\u8d28\u91cf\u6307\u6807 B.\u65f6\u95f4\u6307\u6807\u548c\u65f6\u70b9\u6307\u6807
C.\u603b\u4f53\u5355\u4f4d\u603b\u91cf\u548c\u603b\u4f53\u6807\u5fd7\u603b\u91cf D.\u5b9e\u7269\u6307\u6807\u548c\u4ef7\u503c\u6307\u6807
4. \u8ba1\u7b97\u5e73\u5747\u6307\u6807\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u548c\u6700\u57fa\u672c\u7684\u5f62\u5f0f\u662f ( )
A.\u4e2d\u536b\u6570 B.\u4f17\u6570 C.\u7b97\u672f\u5e73\u5747\u6570 D.\u8c03\u548c\u5e73\u5747\u6570
5.\u7edf\u8ba1\u6307\u6570\u6309\u6307\u6570\u5316\u6307\u6807\u7684\u6027\u8d28\u4e0d\u540c,\u53ef\u5206\u4e3a ( )
A.\u603b\u6307\u6570\u548c\u4e2a\u4f53\u6307\u6570 B.\u6570\u91cf\u6307\u6807\u6307\u6570\u548c\u8d28\u91cf\u6307\u6807\u6307\u6570
C.\u5e73\u5747\u6307\u6570\u548c\u5e73\u5747\u6307\u6807\u6307\u6570 D.\u7efc\u5408\u6307\u6570\u548c\u5e73\u5747\u6570\u6307\u6570
6.\u8ba1\u7b97\u5e8f\u65f6\u5e73\u5747\u6570\u65f6,\u201d\u9996\u672b\u6298\u534a\u6cd5\u201d\u9002\u7528\u4e8e ( )
A.\u65f6\u671f\u6570\u5217\u8ba1\u7b97\u5e8f\u65f6\u5e73\u5747\u6570 B.\u95f4\u9694\u76f8\u7b49\u7684\u65f6\u70b9\u6570\u5217\u8ba1\u7b97\u5e8f\u65f6\u5e73\u5747\u6570
C.\u95f4\u9694\u4e0d\u7b49\u7684\u65f6\u70b9\u6570\u5217\u8ba1\u7b97\u5e8f\u65f6\u5e73\u5747\u6570 D.\u7531\u4e24\u4e2a\u65f6\u70b9\u6570\u5217\u6784\u6210\u7684\u76f8\u5bf9\u6570\u5217\u52a8\u6001\u6570\u5217\u8ba1\u7b97\u5e8f\u65f6\u5e73\u5747\u6570


\u56db\u3001 \u591a\u9009\u9898 (\u6bcf\u5c0f\u98982\u5206,\u51718\u5206)
1\uff0e\u6b21\u6570\u5206\u914d\u6570\u5217\uff08 \uff09
A\uff0e \u7531\u603b\u4f53\u6309\u67d0\u6807\u5fd7\u6240\u5206\u7684\u7ec4\u548c\u5404\u7ec4\u5355\u4f4d\u6570\u4e24\u4e2a\u56e0\u7d20\u6784\u6210
B\uff0e \u7531\u7ec4\u8ddd\u548c\u7ec4\u6570\u3001\u7ec4\u9650\u548c\u7ec4\u4e2d\u503c\u6784\u6210\u7684
C\uff0e \u5305\u62ec\u54c1\u8d28\u5206\u914d\u6570\u5217\u548c\u53d8\u91cf\u6570\u5217\u4e24\u79cd
D\uff0e \u53ef\u4ee5\u7528\u56fe\u8868\u5f62\u5f0f\u8868\u73b0
E\uff0e \u53ef\u4ee5\u8bc1\u660e\u603b\u4f53\u7ed3\u6784\u548c\u5206\u5e03\u7279\u5f81
2\uff0e\u8c03\u67e5\u5355\u4f4d\u662f\uff08 \uff09
A\uff0e \u9700\u8981\u8c03\u67e5\u7684\u603b\u4f53
B\uff0e \u9700\u8981\u8c03\u67e5\u7684\u603b\u4f53\u5355\u4f4d\u8d1f\u8d23\u4eba
C\uff0e \u8c03\u67e5\u9879\u76ee\u7684\u627f\u62c5\u8005
D\uff0e \u8d1f\u8d23\u62a5\u544a\u8c03\u67e5\u7ed3\u679c\u7684\u5355\u4f4d
E\uff0e \u8c03\u67e5\u5bf9\u8c61\u6240\u5305\u542b\u7684\u5177\u4f53\u5355\u4f4d
3\uff0e\u62bd\u6837\u4f30\u8ba1\u4e2d\u7684\u62bd\u6837\u8bef\u5dee\uff08 \uff09
A\uff0e \u662f\u4e0d\u53ef\u907f\u514d\u8981\u4ea7\u751f\u7684
B\uff0e \u662f\u53ef\u4ee5\u901a\u8fc7\u6539\u8fdb\u8c03\u67e5\u65b9\u5f0f\u6765\u6d88\u9664\u7684
C\uff0e \u662f\u53ef\u4ee5\u4e8b\u5148\u8ba1\u7b97\u51fa\u6765\u7684
D\uff0e \u53ea\u80fd\u5728\u8c03\u67e5\u7ed3\u675f\u540e\u5728\u80fd\u8ba1\u7b97\u7684
E\uff0e \u5176\u5927\u5c0f\u662f\u53ef\u80fd\u63a7\u5236\u7684
4\uff0e\u8bbe\u4ea7\u54c1\u7684\u5355\u4f4d\u6210\u672c\uff08\u5143\uff09\u5bf9\u4ea7\u91cf\uff08\u767e\u4ef6\uff09\u7684\u76f4\u7ebf\u56de\u5f52\u65b9\u7a0b\u4e3ayc=76-1.85x\uff0c\u8fd9\u8868\u793a\uff08 \uff09
A\uff0e \u4ea7\u91cf\u6bcf\u589e\u52a0100\u4ef6\uff0c\u5355\u4f4d\u6210\u672c\u5e73\u5747\u4e0b\u964d1.85\u5143
B\uff0e \u4ea7\u91cf\u6bcf\u51cf\u5c11100\u4ef6\uff0c\u5355\u4f4d\u6210\u672c\u5e73\u5747\u4e0b\u964d1.85\u5143
C\uff0e \u4ea7\u91cf\u4e0e\u5355\u4f4d\u6210\u672c\u6309\u76f8\u53cd\u65b9\u5411\u53d8\u52a8
D\uff0e \u4ea7\u91cf\u4e0e\u5355\u4f4d\u6210\u672c\u6309\u76f8\u540c\u65b9\u5411\u53d8\u52a8
E\uff0e \u5f53\u4ea7\u91cf\u4e3a200\u4ef6\u65f6\uff0c\u5355\u4f4d\u6210\u672c\u4e3a72.3\u5143


\u4e94\u3001 \u95ee\u7b54\u9898\uff08\u6bcf\u5c0f\u98985\u5206\uff0c\u517110\u5206\uff09
1\uff0e \u7b80\u8ff0\u53d8\u5f02\u6307\u6807\u7684\u6982\u5ff5\u548c\u4f5c\u7528\u3002
2\uff0e \u5e73\u5747\u6307\u6570\u7684\u57fa\u672c\u542b\u4e49\u548c\u8ba1\u7b97\u673a\u5f62\u5f0f\u662f\u4ec0\u4e48\uff1f
\u516d\u3001 \u8ba1\u7b97\u9898\uff08\u6bcf\u5c0f\u989810\u5206\uff0c\u517150\u5206\uff09
1\uff0e \u67d0\u73ed40\u540d\u5b66\u751f\u7edf\u8ba1\u5b66\u8003\u8bd5\u6210\u7ee9\uff08\u5206\uff09\u5206\u522b\u4e3a\uff1a
57 89 49 84 86 87 75 73 72 68 75 82 97 81
67 81 54 79 87 95 76 71 60 90 65 76 72 70
86 85 89 89 64 57 83 81 78 87 72 61
\u5b66\u6821\u89c4\u5b9a\uff1a60\u5206\u4ee5\u4e0b\u4e3a\u4e0d\u53ca\u683c\uff0c60-70\u5206\u4e3a\u53ca\u683c\uff0c70-80\u5206\u4e3a\u4e2d\uff0c80-90\u5206\u4e3a\u826f\uff0c90-100\u5206
\u4e3a\u4f18\u3002\u8981\u6c42\uff1a
\uff081\uff09 \u5c06\u8be5\u73ed\u5b66\u751f\u5206\u4e3a\u4e0d\u53ca\u683c\u3001\u53ca\u683c\u3001\u4e2d\u3001\u826f\u3001\u4f18\u4e94\u7ec4\uff0c\u7f16\u5236\u4e00\u5f20\u6b21\u6570\u5206\u914d\u8868\u3002
\uff082\uff09 \u6307\u51fa\u5206\u7ec4\u6807\u5fd7\u53ca\u7c7b\u578b\uff1b\u5206\u6790\u8be5\u73ed\u5b66\u751f\u8003\u8bd5\u60c5\u51b5\u3002
2\uff0e \u67d0\u5382\u4e09\u4e2a\u8f66\u95f4\u4e00\u5b63\u5ea6\u751f\u4ea7\u60c5\u51b5\u5982\u4e0b\uff1a
\u8f66\u95f4 \u8ba1\u5212\u5b8c\u6210\u767e\u5206\u6bd4 \u5b9e\u9645\u4ea7\u91cf\uff08\u4ef6\uff09 \u5355\u4f4d\u4ea7\u54c1\u6210\u672c\uff08\u5143\\u4ef6\uff09
\u7b2c\u4e00\u8f66\u95f4 90% 198 15
\u7b2c\u4e8c\u8f66\u95f4 105% 315 10
\u7b2c\u4e09\u8f66\u95f4 110% 220 8
\u6839\u636e\u4ee5\u4e0a\u8d44\u6599\u8ba1\u7b97:

(1)\u4e00\u5b63\u5ea6\u4e09\u4e2a\u8f66\u95f4\u4ea7\u91cf\u5e73\u5747\u8ba1\u5212\u5b8c\u6210\u767e\u5206\u6bd4.
(2)\u4e00\u5b63\u5ea6\u4e09\u4e2a\u8f66\u95f4\u5e73\u5747\u5355\u4f4d\u4ea7\u54c1\u6210\u672c.


3.\u67d0\u5730\u519c\u79d1\u6240\u7ecf\u56de\u5f52\u5206\u6790,\u5f97\u5230\u67d0\u4f5c\u7269\u7684\u4ea9\u4ea7\u91cf(y\u8868\u793a,\u5355\u4f4d\u4e3a\u201c\u62c5\\u4ea9\u201d)\u4e0e\u6d47\u6c34\u91cf\uff08\u7528X\u8868\u793a\uff0c\u5355\u4f4d\u4e3a\u201c\u5bf8\u201d\uff09\u7684\u76f4\u7ebf\u56de\u5f52\u65b9\u7a0b\u4e3a\uff1ayc=2.82+1.56x\u3002\u53c8\u77e5\u53d8\u91cfx\u7684\u65b9\u5dee\u4e3a99.75\uff0c\u53d8\u91cfy\u7684\u65b9\u5dee\u4e3a312.82
\u8981\u6c42\uff1a\uff081\uff09\u8ba1\u7b97\u6d47\u6c34\u91cf\u4e3a0\u65f6\u7684\u4ea9\u4ea7\u91cf\uff1b
\uff082\uff09\u8ba1\u7b97\u6d47\u6c34\u91cf\u6bcf\u589e\u52a0\u4e00\u5bf8\u65f6\u5e73\u5747\u589e\u52a0\u7684\u4ea9\u4ea7\u91cf\uff1b
\uff083\uff09\u8ba1\u7b97\u6d47\u6c34\u91cf\u4e0e\u4ea9\u4ea7\u91cf\u4e4b\u95f4\u7684\u76f8\u4e92\u5173\u7cfb\u6570\uff0c\u5e76\u5206\u6790\u76f8\u5173\u7684\u5bc6\u5207\u7a0b\u5ea6\u548c\u65b9\u5411\u3002
\uff08\u8981\u6c42\u5199\u51fa\u516c\u5f0f\u548c\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u7ed3\u679c\u4fdd\u7559\u4e24\u4f4d\u5c0f\u6570\uff09

4\uff0e\u67d0\u4f01\u4e1a\u4ea7\u54c1\u7684\u5355\u4f4d\u6210\u672c1988\u60a8\u6bd41987\u5e74\u964d\u4f4e2%\uff0c1989\u5e74\u6bd41988\u5e74\u964d\u4f4e5%\uff0c1990\u5e74\u6bd41989\u5e74\u964d\u4f4e3%\uff0c1991\u5e74\u6bd41990\u5e74\u964d\u4f4e1.5%\uff0c\u8bd5\u4ee51987\u5e74\u4e3a\u57fa\u671f\uff0c\u8ba1\u7b971988\u5e74\u81f31991\u5e74\u8be5\u4f01\u4e1a\u5355\u4f4d\u6210\u672c\u603b\u7684\u964d\u4f4e\u901f\u5ea6\u548c\u5e73\u5747\u964d\u4f4e\u901f\u5ea6\u3002\uff08\u8981\u6c42\u5199\u51fa\u516c\u5f0f\u548c\u8ba1\u7b97\u8fc7\u7a0b\uff0c\u7ed3\u679c\u4fdd\u7559\u56db\u4f4d\u5c0f\u6570\u3002\uff09
5 \u4ece\u4e00\u6279\u96f6\u4ef6\u4e2d\u62bd\u53d6200\u4ef6\u8fdb\u884c\u6d4b\u9a8c\uff0c\u5176\u4e2d\u5408\u683c\u54c1188\u4ef6\u3002
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B\uff0e\u81ea\u53d8\u91cf\u548c\u56e0\u53d8\u91cf\u4e4b\u95f4\u6210\u6b63\u76f8\u5173\u5173\u7cfb
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B. 1\uff1c 2 1\uff1e 2\uff0c\u5219\u4e59\u6570\u5217\u5e73\u5747\u6570\u7684\u4ee3\u8868\u6027\u4f4e
C. 1\uff1d 2 1\uff1e 2\uff0c\u5219\u7532\u6570\u5217\u5e73\u5747\u6570\u7684\u4ee3\u8868\u6027\u9ad8
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A\uff0e520 B\uff0e510 C\uff0e500 D\uff0e540
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A\uff0e\u7b97\u672f\u5e73\u5747\u6570 B\uff0e\u8c03\u548c\u5e73\u5747\u6570
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A\uff0e0 B\uff0e 1 C\uff0e \u5927\u4e8e1 D. \u5c0f\u4e8e1
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A.8\u5e74 B.7.2\u5e74 C.5\u5e74 D.7.8\u5e74
11.\u67d0\u4f01\u4e1a2007\u5e74\u5404\u79cd\u4ea7\u54c1\u7684\u4ea7\u91cf\u6bd42006\u5e74\u589e\u957f\u4e868%\uff0c\u603b\u751f\u4ea7\u8d39\u7528\u589e\u957f\u4e8612%\uff0c\u5219\u8be5\u53822007\u5e74\u5355\u4f4d\u6210\u672c( D )
A.\u51cf\u5c11\u4e860.62% B.\u589e\u52a0\u4e860.62%
C.\u51cf\u5c11\u4e863.7% D.\u589e\u52a0\u4e863.7%
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A.\u76f8\u540c B.\u4e0d\u540c
C.\u65e0\u6cd5\u5224\u65ad
13.\u5df2\u77e5\u5c0f\u59dc\u4e70\u7684\u4e24\u79cd\u80a1\u7968\u7684\u7efc\u5408\u4ef7\u683c\u6307\u6570\u4e0a\u6da8\u4e8624\u70b9\uff0c\u672c\u65e5\u80a1\u7968\u7684\u5e73\u5747\u6536\u76d8\u4ef7\u683c\u4e3a14\u5143\uff0c\u524d\u65e5\u80a1\u7968\u7684\u5e73\u5747\u6536\u76d8\u4ef7\u683c\u4e3a( C )
A.10.64 B.10.5
C.11.29 D.\u65e0\u6cd5\u8ba1\u7b97
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A\uff0e9.0\uff05 B\uff0e7.4\uff05
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C\uff0e10.2\uff05 D\uff0e\u65e0\u6cd5\u8ba1\u7b97

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C.\u8d27\u7269\u603b\u91cd\u91cf D.\u6309\u4e2a\u8ba1\u91cf\u7684\u8d27\u7269\u6570\u91cf
E.\u4e00\u6761\u6536\u8d39\u516c\u8def\u4e0a\u7684\u4ea4\u901a\u91cf F.\u516c\u53f8\u5e74\u4f1a\u7684\u51fa\u5e2d\u4eba\u6570
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B.\u901a\u8fc7\u8ba9\u4e24\u7ec4\u53ef\u4ee5\u6bd4\u8f83\u7684\u5b69\u5b50\u5206\u522b\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u7ec4\u88c5\u8bf4\u660e\u7ec4\u88c5\u73a9\u5177\u6765\u6bd4\u8f83\u8fd9\u4e24\u79cd\u7ec4\u88c5\u8bf4\u660e
C.\u4e00\u4efd\u4ea7\u54c1\u8bc4\u4ef7\u6742\u5fd7\u7ed9\u5b83\u7684\u8ba2\u9605\u8005\u90ae\u5bc4\u8c03\u67e5\u95ee\u5377\uff0c\u8bf7\u4ed6\u4eec\u4e3a\u8fd1\u671f\u8d2d\u4e70\u7684\u4ea7\u54c1\u6392\u540d
D.\u91c7\u8bbf\u4e00\u4e2a\u8d2d\u7269\u4e2d\u5fc3\u7684\u987e\u5ba2\uff0c\u8be2\u95ee\u4ed6\u4eec\u4e3a\u4ec0\u4e48\u5728\u90a3\u91cc\u8d2d\u7269
E.\u901a\u8fc7\u5728\u4e24\u4e2a\u53ef\u6bd4\u8f83\u5730\u533a\u5206\u522b\u91c7\u7528\u4e0d\u540c\u7684\u65b9\u6cd5\uff0c\u6bd4\u8f83\u4e24\u79cd\u4e0d\u540c\u7684\u517b\u8001\u91d1\u4fc3\u9500\u65b9\u6cd5
3.\u4e0b\u5217\u7ec4\u9650\u7684\u8868\u793a\u65b9\u6cd5\u54ea\u4e9b\u662f\u5bf9\u7684( A B D )\u3002
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B.\u804c\u5de5\u6309\u5de5\u8d44\u5206\u7ec4\uff0c\u5176\u7ec4\u9650\u5fc5\u987b\u91cd\u53e0
C.\u5b66\u751f\u6309\u6210\u7ee9\u5206\u7ec4\uff0c\u5176\u7ec4\u9650\u5fc5\u987b\u95f4\u65ad
D.\u4eba\u6309\u8eab\u9ad8\u5206\u7ec4\uff0c\u5176\u7ec4\u9650\u5fc5\u987b\u91cd\u53e0
4.\u4e0b\u5217\u5c5e\u4e8e\u8d28\u91cf\u6307\u6807\u6307\u6570\u7684\u6709( A B D E )\u3002
A.\u4ef7\u683c\u6307\u6570 B.\u5355\u4f4d\u6210\u672c\u6307\u6570
C.\u9500\u552e\u91cf\u6307\u6570 D.\u5de5\u8d44\u6c34\u5e73\u6307\u6570
E.\u52b3\u52a8\u751f\u4ea7\u7387\u6307\u6570
5.\u5177\u4f53\u5730\u8bf4\uff0c\u5982\u679c\u51fa\u73b0\u4e0b\u5217\uff08 A B C \uff09\u60c5\u51b5\uff0c\u6697\u793a\u591a\u5143\u56de\u5f52\u6a21\u578b\u6709\u53ef\u80fd\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\u3002
A.\u6a21\u578b\u4e2d\u5404\u5bf9\u81ea\u53d8\u91cf\u4e4b\u95f4\u663e\u8457\u76f8\u5173
B.\u7ebf\u5f62\u5173\u7cfb\u663e\u8457\uff0c\u56de\u5f52\u7cfb\u6570 \u7684t\u68c0\u9a8c\u5374\u4e0d\u663e\u8457
C.\u56de\u5f52\u7cfb\u6570\u7684\u6b63\u8d1f\u53f7\u4e0e\u9884\u671f\u76f8\u53cd
D.
6.\u7b97\u672f\u5e73\u5747\u6570\u5177\u6709\u4e0b\u5217\u54ea\u4e9b\u6027\u8d28( B C )\u3002
A. (X\uff0d \uff09\uff1d\u6700\u5c0f\u503c B. (X\uff0d \uff09\uff1d0
C. (X\uff0d \uff092\uff1d\u6700\u5c0f\u503c D. (X\uff0d \uff092\uff1d0
E. (X\uff0d )\uff1d1
7\uff0e\u5728\u9891\u6570\u5206\u5e03\u6570\u5217\u4e2d\uff08 C D E \uff09\u3002
A.\u603b\u6b21\u6570\u4e00\u5b9a\uff0c\u9891\u6570\u548c\u9891\u7387\u6210\u53cd\u6bd4 B.\u5404\u7ec4\u7684\u9891\u6570\u4e4b\u548c\u7b49\u4e8e100
C.\u5404\u7ec4\u9891\u7387\u5927\u4e8e0\uff0c\u9891\u7387\u4e4b\u548c\u7b49\u4e8e1 D.\u9891\u7387\u8d8a\u5c0f\uff0c\u5219\u8be5\u7ec4\u6570\u503c\u6240\u8d77\u4f5c\u7528\u8d8a\u5c0f
E.\u9891\u7387\u8868\u660e\u5404\u7ec4\u53d8\u91cf\u503c\u5bf9\u603b\u4f53\u7684\u76f8\u5bf9\u4f5c\u7528\u7a0b\u5ea6
8\uff0e\u6807\u51c6\u5dee\uff08 C E \uff09\u3002
A.\u8868\u660e\u603b\u4f53\u5355\u4f4d\u6807\u5fd7\u503c\u7684\u4e00\u822c\u6c34\u5e73 B.\u53cd\u6620\u603b\u4f53\u5355\u4f4d\u7684\u4e00\u822c\u6c34\u5e73
C.\u53cd\u6620\u603b\u4f53\u5355\u4f4d\u6807\u5fd7\u503c\u7684\u79bb\u6563\u7a0b\u5ea6 D.\u53cd\u6620\u603b\u4f53\u5206\u5e03\u7684\u96c6\u4e2d\u8d8b\u52bf
E.\u53cd\u6620\u603b\u4f53\u5206\u5e03\u7684\u79bb\u4e2d\u8d8b\u52bf

\u4e09\u3001\u7b80\u7b54\u9898\uff08\u672c\u5927\u9898\u51712\u9898\uff0c\u6bcf\u98985\u5206\uff0c\u517110\u5206\uff09
1.\u4ec0\u4e48\u662f\u5e74\u5ea6\u5316\u589e\u957f\u7387?\u5b83\u6709\u4f55\u7528\u9014?
2.\u6570\u503c\u578b\u6570\u636e\u7684\u5206\u7ec4\u65b9\u6cd5\u6709\u54ea\u4e9b\uff1f\u7b80\u8ff0\u7ec4\u8ddd\u5206\u7ec4\u7684\u6b65\u9aa4\u3002
\uff081\uff09\u53ef\u5206\u4e3a\u5355\u53d8\u91cf\u503c\u5206\u7ec4\u548c\u7ec4\u8ddd\u5206\u7ec4\u4e24\u79cd\u5206\u7ec4\u65b9\u6cd5\u3002
\u5355\u53d8\u91cf\u503c\u5206\u7ec4\uff1a\u5c06\u4e00\u4e2a\u53d8\u91cf\u503c\u4f5c\u4e3a\u4e00\u7ec4\uff1b\u9002\u5408\u4e8e\u79bb\u6563\u53d8\u91cf\uff1b\u9002\u5408\u4e8e\u53d8\u91cf\u503c\u8f83\u5c11\u7684\u60c5\u51b5\uff08+1\uff09
\u7ec4\u8ddd\u5206\u7ec4\uff1a\u5c06\u53d8\u91cf\u503c\u7684\u4e00\u4e2a\u533a\u95f4\u4f5c\u4e3a\u4e00\u7ec4\uff1b\u9002\u5408\u4e8e\u8fde\u7eed\u53d8\u91cf\uff1b\u9002\u5408\u4e8e\u53d8\u91cf\u503c\u8f83\u591a\u7684\u60c5\u51b5\uff1b\u9700\u8981\u9075\u5faa\u201c\u4e0d\u91cd\u4e0d\u6f0f\u201d\u7684\u539f\u5219\uff1b\u53ef\u91c7\u7528\u7b49\u8ddd\u5206\u7ec4\uff0c\u4e5f\u53ef\u91c7\u7528\u4e0d\u7b49\u8ddd\u5206\u7ec4\u3002\uff08+1\uff09
\uff082\uff09A\uff0e\u786e\u5b9a\u7ec4\u6570\uff1a

\uff08+1\uff09
B\uff0e\u786e\u5b9a\u7ec4\u8ddd\uff1a\u7ec4\u8ddd(class width)\u662f\u4e00\u4e2a\u7ec4\u7684\u4e0a\u9650\u4e0e\u4e0b\u9650\u4e4b\u5dee\uff0c\u53ef\u6839\u636e\u5168\u90e8\u6570\u636e\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u53ca\u6240\u5206\u7684\u7ec4\u6570\u6765\u786e\u5b9a\uff08+1\uff09
C.\u7edf\u8ba1\u51fa\u5404\u7ec4\u7684\u9891\u6570\u5e76\u6574\u7406\u6210\u9891\u6570\u5206\u5e03\u8868\u3002\uff08+1\uff09



\u56db\u3001\u5224\u65ad\u9898\uff08\u672c\u5927\u9898\u51715\u5c0f\u9898\uff0c\u6bcf\u5c0f\u98981\u5206\uff0c\u51715\u5206\uff09
1.\u76f8\u5173\u7cfb\u6570\u4e3a+1\u65f6\uff0c\u8bf4\u660e\u4e24\u53d8\u91cf\u5b8c\u5168\u76f8\u5173\uff0c\u76f8\u5173\u7cfb\u6570\u4e3a-1\u65f6\uff0c\u8bf4\u660e\u4e24\u4e2a\u53d8\u91cf\u4e0d\u76f8\u5173\u3002\uff08 \u9519 \uff09
2.\u5982\u679c\u5404\u79cd\u5546\u54c1\u4ef7\u683c\u5e73\u5747\u4e0a\u6da85%\uff0c\u9500\u552e\u91cf\u5e73\u5747\u4e0b\u964d5%\uff0c\u5219\u9500\u552e\u989d\u6307\u6570\u4e0d\u53d8\u3002\uff08 \u9519 \uff09
3.\u8fde\u7eed\u578b\u53d8\u91cf\u548c\u79bb\u6563\u578b\u53d8\u91cf\u5728\u8fdb\u884c\u7ec4\u8ddd\u5f0f\u5206\u7ec4\u65f6\uff0c\u5747\u53ef\u91c7\u7528\u76f8\u90bb\u7ec4\u7ec4\u8ddd\u91cd\u53e0\u7684\u65b9\u6cd5\u786e\u5b9a\u7ec4\u9650\u3002\uff08 \u5bf9 \uff09
4.\u6839\u636e\u5efa\u7acb\u7684\u76f4\u7ebf\u56de\u5f52\u65b9\u7a0b\uff0c\u4e0d\u80fd\u5224\u65ad\u51fa\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u76f8\u5173\u7684\u5bc6\u5207\u7a0b\u5ea6\u3002\uff08 \u5bf9 \uff09
5.\u8bbeP\u8868\u793a\u5355\u4f4d\u6210\u672c\uff0cq\u8868\u793a\u4ea7\u91cf\uff0c\u5219\u2211p1q1\u2014\u2211p0q1\u8868\u793a\u7531\u4e8e\u4ea7\u54c1\u5355\u4f4d\u6210\u672c\u7684\u53d8\u52a8\u5bf9\u603b\u4ea7\u91cf\u7684\u5f71\u54cd\u3002\uff08 \u9519 \uff09

\u56db\u3001\u8ba1\u7b97\u5206\u6790\u9898\uff08\u517154\u5206\uff09
1.\u5c06\u67d0\u90ae\u5c40\u4e2d\u5916\u53d1\u90ae\u5305\u6837\u672c\u7684\u91cd\u91cf\u8fd1\u4f3c\u5230\u76ce\u53f8\u4e3a\uff1a21\uff0c18\uff0c30\uff0c12\uff0c14\uff0c17\uff0c28\uff0c10\uff0c16\uff0c25\u3002\u8ba1\u7b97\u8fd9\u7ec4\u6570\u636e\u7684\u5747\u503c\uff0c\u4e2d\u4f4d\u6570\uff0c\u4f17\u6570\uff0c\u6781\u5dee\uff0c\u56db\u5206\u4f4d\u95f4\u8ddd\uff0c\u4ece\u504f\u659c\u5ea6\u7684\u89d2\u5ea6\u63cf\u8ff0\u6570\u636e\u7684\u5206\u5e03\u5f62\u72b6(10\u5206)\u3002

2.\u88681\u4e2d\u5217\u51fa\u4e86\u5728\u4e00\u4e2a\u4e3a\u671f\u4e09\u5468\u7684\u5546\u52a1\u7edf\u8ba1\u8bfe\u7a0b\u4e2d\u5b66\u751f\u8bfe\u5916\u5b66\u4e60\u7684\u5c0f\u65f6\u6570\u548c\u4ed6\u4eec\u5728\u8bfe\u7a0b\u7ed3\u675f\u65f6\u7684\u6d4b\u8bd5\u5206\u6570\u7684\u6837\u672c\u6570\u636e\u5982\u4e0b\uff1a
\u88681 \u5b66\u751f\u8bfe\u5916\u5b66\u4e60\u65f6\u95f4\u53ca\u8003\u8bd5\u5206\u6570\u7edf\u8ba1\u8868
\u5b66\u751f\u6837\u672c 1 2 3 4 5 6 7 8
\u5b66\u4e60\u65f6\u95f4\uff0cX 20 16 34 23 27 32 18 22
\u8003\u8bd5\u5206\u6570\uff0cY 64 61 84 70 88 92 72 77
\u5229\u7528EXCEL\u8fdb\u884c\u56de\u5f52\uff0c\u7ed3\u679c\u5982\u4e0b\u8868\uff1a(\u517115\u5206)
SUMMARY OUTPUT
\u56de\u5f52\u7edf\u8ba1
Multiple R 0.862109
R Square 0.743232
Adjusted R Square 0.700437
\u6807\u51c6\u8bef\u5dee 6.157605
\u89c2\u6d4b\u503c 8
\u65b9\u5dee\u5206\u6790
df SS MS F Significance F
\u56de\u5f52\u5206\u6790 1 658.5034 658.5034 17.36738233 0.005895457
\u6b8b\u5dee 6 227.4966 37.9161
\u603b\u8ba1 7 886
Coefficients \u6807\u51c6\u8bef\u5dee t Stat P-value
Intercept 40.08163265 8.889551 4.50884785 0.004065471
X Variable 1 1.496598639 0.359119 4.16741915 0.005895457


\u5206\u6790\u5e76\u56de\u7b54\u4e0b\u5217\u95ee\u9898\uff1a
(1)\u5b66\u4e60\u65f6\u95f4\u4e0e\u8003\u8bd5\u5206\u6570\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\u662f\u591a\u5c11\uff0c\u8003\u8bd5\u5206\u6570\u7684\u53d8\u5dee\u4e2d\u6709\u591a\u5c11\u662f\u7531\u4e8e\u5b66\u4e60\u65f6\u95f4\u7684\u53d8\u52a8\u5f15\u8d77\u7684? 86.21% 74.32%
(2) \u6839\u636eEXCEL\u56de\u5f52\u8f93\u51fa\u7ed3\u679c\uff0c\u5199\u51fa\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u5e76\u89e3\u91ca\u56de\u5f52\u7cfb\u6570\u7684\u5b9e\u9645\u610f\u4e49\u3002
(3) \u68c0\u9a8c\u7ebf\u6027\u5173\u7cfb\u7684\u663e\u8457\u6027 \u3002
(4) \u6839\u636e\u6807\u51c6\u5316\u6b8b\u5dee\u56fe\u5224\u65ad\u5173\u4e8e\u968f\u673a\u8bef\u5dee\u9879\u6b63\u6001\u5206\u5e03\u7684\u5047\u5b9a\u662f\u5426\u6210\u7acb\u3002
\u6807\u51c6\u5316\u6b8b\u5dee\u5206\u5e03\u5728-2~2\u4e4b\u95f4\uff0c\u56e0\u6b64\u5173\u4e8e\u968f\u673a\u8bef\u5dee\u9879\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u5047\u5b9a\u6210\u7acb
3.\u968f\u673a\u62bd\u53d6\u4e8615\u5bb6\u5927\u578b\u5546\u573a\u9500\u552e\u7684\u540c\u7c7b\u4ea7\u54c1\u7684\u6709\u5173\u6570\u636e(\u5355\u4f4d\uff1a\u5143)\uff0c\u5229\u7528EXCEL\u8fdb\u884c\u56de\u5f52\uff0c\u7ed3\u679c\u5982\u4e0b\u8868\uff1a(\u517115\u5206)
SUMMARY OUTPUT
\u56de\u5f52\u7edf\u8ba1
Multiple R 0.593684
R Square 0.35246
Adjusted R Square 0.244537
\u6807\u51c6\u8bef\u5dee 69.75121
\u89c2\u6d4b\u503c 15
\u65b9\u5dee\u5206\u6790
df SS MS F Significance F
\u56de\u5f52\u5206\u6790 2 31778.15 15889.08 3.265842 0.073722186
\u6b8b\u5dee 12 58382.78 4865.232
\u603b\u8ba1 14 90160.93
Coefficients \u6807\u51c6\u8bef\u5dee t Stat P-value
Intercept 375.6018288 339.410562 1.10662976 0.290145025
X Variable 1 0.537840951 0.21044674 2.55571054 0.02519961
X Variable 2 1.457193542 0.667706586 2.18238606 0.049681066
\u76f8\u5173\u7cfb\u6570\u77e9\u9635
Y X1 X2
Y 1
X1 0.308952067 1
X2 0.001214062 -0.8528576 1
\u6ce8\uff1aX Variable 1\u4e3a\u8d2d\u8fdb\u4ef7\u683c/\u5143
X Variable 2\u4e3a\u9500\u552e\u8d39\u7528/\u5143
\u56e0\u53d8\u91cfY\u4e3a\u9500\u552e\u4ef7\u683c/\u5143
\uff081\uff09\u6307\u51faY\u4e0eX1\uff0cY\u4e0eX2\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\uff0c\u662f\u5426\u6709\u8bc1\u636e\u8868\u660e\u8d2d\u8fdb\u4ef7\u683c\u3001\u9500\u552e\u4ef7\u683c\u4e0e\u9500\u552e\u8d39\u7528\u4e4b\u95f4\u5b58\u5728\u7ebf\u6027\u5173\u7cfb\uff1f 0.3089 0.0012 \u6ca1\u6709\uff0c\u56e0\u4e3a\u76f8\u5173\u7cfb\u6570\u8f83\u5c0f
\uff082\uff09\u6839\u636e\u4e0a\u8bc9\u7ed3\u679c\uff0c\u4f60\u8ba4\u4e3a\u7528\u8d2d\u8fdb\u4ef7\u683c\u4e0e\u9500\u552e\u8d39\u7528\u6765\u9884\u6d4b\u662f\u5426\u6709\u7528\uff1f\u6ca1\u7528
\uff083\uff09\u6839\u636eEXCEL\u56de\u5f52\u8f93\u51fa\u7ed3\u679c\uff0c\u5199\u51fa\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u5e76\u68c0\u9a8c\u7ebf\u6027\u5173\u7cfb\u662f\u5426\u663e\u8457\uff08 \uff09\u3002\u4e0d\u663e\u8457
\uff084\uff09\u89e3\u91ca\u5224\u5b9a\u7cfb\u6570R2\uff0c\u6240\u5f97\u7ed3\u8bba\u4e0e\u95ee\u9898\uff082\uff09\u4e2d\u662f\u5426\u4e00\u81f4\uff1f R2=35.25% , \u5728\u9500\u552e\u4ef7\u4ef7\u683c\u7684\u603b\u53d8\u5dee\u4e2d\uff0c\u88ab\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u6240\u89e3\u91ca\u7684\u6bd4\u4f8b\u662f35.25%\uff0c\u4e00\u81f4\u3002\uff08+3\uff09
\uff085\uff09X1\u4e0eX2\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\u662f\u4ec0\u4e48\uff1f\u610f\u5473\u7740\u4ec0\u4e48\uff1f\u9ad8\u5ea6\u76f8\u5173
\uff086\uff09\u6a21\u578b\u4e2d\u662f\u5426\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff1f\u4f60\u5bf9\u6a21\u578b\u6709\u4f55\u7279\u957f\u5efa\u8bae\uff1f\u53ef\u80fd\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff1b\u8fdb\u4e00\u6b65\u68c0\u9a8c\u662f\u5426\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff0c\u5bf9X1\u4e0eX2\u7684\u6837\u672c\u76f8\u5173\u7cfb\u6570\u8fdb\u884c\u663e\u8457\u6027\u68c0\u9a8c\uff08rx1x2=-0.8529\uff09\uff0c\u5982\u679c\u662f\u663e\u8457\uff0c\u5373\u53ef\u786e\u5b9a\u4e3a\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\u3002\uff08+2\uff09
\u5bf9\u6a21\u578b\u6709\u4f55\u7279\u957f\u5efa\u8bae\uff1a\u6839\u636e\u7814\u7a76\u76ee\u7684\uff0c\u5220\u6389\u76f8\u5bf9\u6b21\u8981\u7684\u89e3\u91ca\u53d8\u91cf\u3002\uff08+1\uff09
4.\u4e00\u516c\u53f8\u751f\u4ea7\u7684\u4e09\u79cd\u4ea7\u54c1\u7684\u6709\u5173\u5982\u4e0b\u6570\u636e\u5982\u4e0b\u8868\u6240\u793a (\u517114\u5206)\uff1a
\u5546\u54c1 \u8ba1\u91cf\u5355\u4f4d \u9500\u552e\u91cf \u5355\u4ef7\uff08\u4e07\u5143\uff09
2005\u5e74 2006\u5e74 2005\u5e74 2006\u5e74
\u7532 \u516c\u65a4 400 480 0.8 0.82
\u4e59 \u5428 80 88 1.15 1.05
\u4e19 \u4ef6 50 60 1.20 1.38

(1)\u8ba1\u7b97\u4e09\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u989d\u6307\u6570;
(2)\u8ba1\u7b97\u4e09\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u91cf\u6307\u6570;
(3)\u8ba1\u7b97\u4e09\u79cd\u4ea7\u54c1\u7684\u5355\u4f4d\u4ef7\u683c\u6307\u6570;
(4)\u8ba1\u7b97\u5206\u6790\u4ea7\u91cf\u548c\u5355\u4f4d\u4ef7\u683c\u7684\u53d8\u52a8\u5bf9\u9500\u552e\u989d\u5f71\u54cd\u7684\u76f8\u5bf9\u6570\u548c\u7edd\u5bf9\u6570\u3002


\u5317\u4eac\u4fe1\u606f\u79d1\u6280\u5927\u5b66
2007 ~2008\u5b66\u5e74\u7b2c\u4e00\u5b66\u671f
\u300a\u7edf\u8ba1\u5b66\u300b\u8bfe\u7a0b\u671f\u672b\u8003\u8bd5\u8bd5\u5377\u6807\u51c6\u7b54\u6848(A\u5377)
\u4e00\u3001 \u5355\u9879\u9009\u62e9\u9898\uff08\u672c\u5927\u9898\u517115\u5c0f\u9898\uff0c\u6bcf\u5c0f\u98981\u5206\uff0c\u517115\u5206\uff09
\u5728\u6bcf\u5c0f\u9898\u5217\u51fa\u7684\u56db\u4e2a\u5907\u9009\u9879\u4e2d\u53ea\u6709\u4e00\u4e2a\u662f\u7b26\u5408\u9898\u76ee\u8981\u6c42\u7684\uff0c\u8bf7\u5c06\u5176\u4ee3\u7801\u586b\u5199\u5728\u9898\u540e\u7684\u62ec\u53f7\u5185\u3002\u9519\u9009\u3001\u591a\u9009\u6216\u672a\u9009\u5747\u65e0\u5206\u3002
1.(A) 2.(A) 3.( C) 4.(A) 5.(D)
6.(D) 7(A) 8( B) 9.(C) 10.(B)
11.(D) 12.(A) 13.(C) 14.(D) 15.(C)

\u4e8c\u3001 \u591a\u9879\u9009\u62e9\u9898(\u6bcf\u5c0f\u98982\u5206\uff0c\u517116\u5206)
\u5728\u6bcf\u5c0f\u9898\u5217\u51fa\u7684\u4e94\u4e2a\u9009\u9879\u4e2d\u6709\u4e8c\u81f3\u4e94\u4e2a\u9009\u9879\u662f\u7b26\u5408\u9898\u76ee\u8981\u6c42\u7684\uff0c\u8bf7\u5c06\u6b63\u786e\u9009\u9879\u524d\u7684\u5b57\u6bcd\u586b\u5728\u9898\u540e\u7684\u62ec\u53f7\u5185\u3002\u591a\u9009\u3001\u5c11\u9009\u3001\u9519\u9009\u5747\u65e0\u5206\u3002
1.\uff08ADEF\uff09 2.\uff08ABE \uff09 3. (ABD ) 4.(ABDE) 5.\uff08ABC\uff09
6\uff0e(BC ) 7\uff0e\uff08CDE\uff09 8\uff0e\uff08CE\uff09

\u4e09\u3001 \u7b80\u7b54\u9898\uff08\u672c\u5927\u9898\u51712\u9898\uff0c\u6bcf\u98985\u5206\uff0c\u517110\u5206\uff09
1. \u4ec0\u4e48\u662f\u5e74\u5ea6\u5316\u589e\u957f\u7387?\u5b83\u6709\u4f55\u7528\u9014?
(1)\u589e\u957f\u7387\u4ee5\u5e74\u6765\u8868\u793a\u65f6\uff0c\u79f0\u4e3a\u5e74\u5ea6\u5316\u589e\u957f\u7387\u6216\u5e74\u7387,\uff08+2\uff09
\u5176\u8ba1\u7b97\u516c\u5f0f\u4e3a:



m \u4e3a\u4e00\u5e74\u4e2d\u7684\u65f6\u671f\u4e2a\u6570\uff1bn \u4e3a\u6240\u8de8\u7684\u65f6\u671f\u603b\u6570
\u5b63\u5ea6\u589e\u957f\u7387\u88ab\u5e74\u5ea6\u5316\u65f6\uff0cm \uff1d4
\u6708\u589e\u957f\u7387\u88ab\u5e74\u5ea6\u5316\u65f6\uff0cm \uff1d12
\u5f53m \uff1d n \u65f6\uff0c\u4e0a\u8ff0\u516c\u5f0f\u5c31\u662f\u5e74\u589e\u957f\u7387 \uff08+2\uff09
(2)\u53ef\u5c06\u6708\u5ea6\u589e\u957f\u7387\u6216\u5b63\u5ea6\u589e\u957f\u7387\u8f6c\u6362\u4e3a\u5e74\u5ea6\u589e\u957f\u7387\uff0c\u5b9e\u73b0\u589e\u957f\u7387\u4e4b\u95f4\u7684\u53ef\u6bd4\u6027\u3002\uff08+1\uff09
2. \u6570\u503c\u578b\u6570\u636e\u7684\u5206\u7ec4\u65b9\u6cd5\u6709\u54ea\u4e9b\uff1f\u7b80\u8ff0\u7ec4\u8ddd\u5206\u7ec4\u7684\u6b65\u9aa4\u3002
\uff081\uff09\u53ef\u5206\u4e3a\u5355\u53d8\u91cf\u503c\u5206\u7ec4\u548c\u7ec4\u8ddd\u5206\u7ec4\u4e24\u79cd\u5206\u7ec4\u65b9\u6cd5\u3002
\u5355\u53d8\u91cf\u503c\u5206\u7ec4\uff1a\u5c06\u4e00\u4e2a\u53d8\u91cf\u503c\u4f5c\u4e3a\u4e00\u7ec4\uff1b\u9002\u5408\u4e8e\u79bb\u6563\u53d8\u91cf\uff1b\u9002\u5408\u4e8e\u53d8\u91cf\u503c\u8f83\u5c11\u7684\u60c5\u51b5\uff08+1\uff09
\u7ec4\u8ddd\u5206\u7ec4\uff1a\u5c06\u53d8\u91cf\u503c\u7684\u4e00\u4e2a\u533a\u95f4\u4f5c\u4e3a\u4e00\u7ec4\uff1b\u9002\u5408\u4e8e\u8fde\u7eed\u53d8\u91cf\uff1b\u9002\u5408\u4e8e\u53d8\u91cf\u503c\u8f83\u591a\u7684\u60c5\u51b5\uff1b\u9700\u8981\u9075\u5faa\u201c\u4e0d\u91cd\u4e0d\u6f0f\u201d\u7684\u539f\u5219\uff1b\u53ef\u91c7\u7528\u7b49\u8ddd\u5206\u7ec4\uff0c\u4e5f\u53ef\u91c7\u7528\u4e0d\u7b49\u8ddd\u5206\u7ec4\u3002\uff08+1\uff09
\uff082\uff09A\uff0e\u786e\u5b9a\u7ec4\u6570\uff1a

\uff08+1\uff09
B\uff0e\u786e\u5b9a\u7ec4\u8ddd\uff1a\u7ec4\u8ddd(class width)\u662f\u4e00\u4e2a\u7ec4\u7684\u4e0a\u9650\u4e0e\u4e0b\u9650\u4e4b\u5dee\uff0c\u53ef\u6839\u636e\u5168\u90e8\u6570\u636e\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u53ca\u6240\u5206\u7684\u7ec4\u6570\u6765\u786e\u5b9a\uff08+1\uff09
C.\u7edf\u8ba1\u51fa\u5404\u7ec4\u7684\u9891\u6570\u5e76\u6574\u7406\u6210\u9891\u6570\u5206\u5e03\u8868\u3002\uff08+1\uff09

\u56db\u3001\u5224\u65ad\u9898\uff08\u672c\u5927\u9898\u51715\u5c0f\u9898\uff0c\u6bcf\u5c0f\u98981\u5206\uff0c\u51715\u5206\uff09
1.\u76f8\u5173\u7cfb\u6570\u4e3a+1\u65f6\uff0c\u8bf4\u660e\u4e24\u53d8\u91cf\u5b8c\u5168\u76f8\u5173\uff0c\u76f8\u5173\u7cfb\u6570\u4e3a-1\u65f6\uff0c\u8bf4\u660e\u4e24\u4e2a\u53d8\u91cf\u4e0d\u76f8\u5173\u3002\uff08\u00d7\uff09
2.\u5982\u679c\u5404\u79cd\u5546\u54c1\u4ef7\u683c\u5e73\u5747\u4e0a\u6da85%\uff0c\u9500\u552e\u91cf\u5e73\u5747\u4e0b\u964d5%\uff0c\u5219\u9500\u552e\u989d\u6307\u6570\u4e0d\u53d8\u3002\uff08\u00d7\uff09
3.\u8fde\u7eed\u578b\u53d8\u548c\u79bb\u6563\u578b\u53d8\u91cf\u5728\u8fdb\u884c\u7ec4\u8ddd\u5f0f\u5206\u7ec4\u65f6\uff0c\u5747\u53ef\u91c7\u7528\u76f8\u90bb\u7ec4\u7ec4\u8ddd\u91cd\u53e0\u7684\u65b9\u6cd5\u786e\u5b9a\u7ec4\u9650\u3002\uff08\u221a\uff09
4.\u6839\u636e\u5efa\u7acb\u7684\u76f4\u7ebf\u56de\u5f52\u65b9\u7a0b\uff0c\u4e0d\u80fd\u5224\u65ad\u51fa\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u76f8\u5173\u7684\u5bc6\u5207\u7a0b\u5ea6\u3002\uff08\u221a\uff09
5.\u8bbeP\u8868\u793a\u5355\u4f4d\u6210\u672c\uff0cq\u8868\u793a\u4ea7\u91cf\uff0c\u5219\u2211p1q1\u2014\u2211p0q1\u8868\u793a\u7531\u4e8e\u4ea7\u54c1\u5355\u4f4d\u6210\u672c\u7684\u53d8\u52a8\u5bf9\u603b\u4ea7\u91cf\u7684\u5f71\u54cd\u3002\uff08\u00d7\uff09

\u4e94\u3001\u8ba1\u7b97\u5206\u6790\u9898\uff08\u517155\u5206\uff09
\u4e2d\u4f4d\u6570\u7684\u4f4d\u7f6e\uff1a\uff0810+1\uff09/2=5.5
\u4e2d\u4f4d\u6570
\u4ece\u504f\u659c\u5ea6\u7684\u89d2\u5ea6\u63cf\u8ff0\u6570\u636e\u7684\u5206\u5e03\u5f62\u72b6\uff1a\u5747\u503c\uff1e\u4e2d\u4f4d\u6570\uff0c\u6b63\u5411\uff08\u53f3\uff09\u504f
(+2)

2\uff0e(1)\u5b66\u4e60\u65f6\u95f4\u4e0e\u8003\u8bd5\u5206\u6570\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\u662f\u591a\u5c11\uff0c\u8003\u8bd5\u5206\u6570\u7684\u53d8\u5dee\u4e2d\u6709\u591a\u5c11\u662f\u7531\u4e8e\u5b66\u4e60\u65f6\u95f4\u7684\u53d8\u52a8\u5f15\u8d77\u7684?
r=0.862109, \uff08+1\uff09
R2=0.743232, \u8003\u8bd5\u5206\u6570\u7684\u53d8\u5dee\u4e2d\u670974.3232%\u662f\u7531\u4e8e\u5b66\u4e60\u65f6\u95f4\u7684\u53d8\u52a8\u5f15\u8d77\u7684\u3002\uff08+2\uff09
(2) \u6839\u636eEXCEL\u56de\u5f52\u8f93\u51fa\u7ed3\u679c\uff0c\u5199\u51fa\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u5e76\u89e3\u91ca\u56de\u5f52\u7cfb\u6570\u7684\u5b9e\u9645\u610f\u4e49\u3002
\uff08+3\uff09
\u56de\u5f52\u7cfb\u6570\u7684\u542b\u4e49\u8868\u660e\u5b66\u4e60\u65f6\u95f4\u6bcf\u589e\u52a0\u4e00\u4e2a\u5c0f\u65f6, \u8003\u8bd5\u5206\u6570\u5e73\u5747\u589e\u52a01.497\u5206\u3002\uff08+2\uff09
(3) \u68c0\u9a8c\u7ebf\u5f62\u5173\u7cfb\u7684\u663e\u8457\u6027
Significance F=0.005895457\u3008 =5%
\u7ebf\u6027\u5173\u7cfb\u663e\u8457\u3002\uff08+3\uff09
(4) \u6839\u636e\u6807\u51c6\u5316\u6b8b\u5dee\u56fe\u5224\u65ad\u5173\u4e8e\u968f\u673a\u8bef\u5dee\u9879\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u5047\u5b9a\u662f\u5426\u6210\u7acb\u3002
\u6807\u51c6\u5316\u6b8b\u5dee\u5206\u5e03\u5728-2~2\u4e4b\u95f4\uff0c\u56e0\u6b64\u5173\u4e8e\u968f\u673a\u8bef\u5dee\u9879\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u5047\u5b9a\u6210\u7acb\u3002\uff08+4\uff09
3. \uff081\uff09\u6307\u51faY\u4e0eX1\uff0cY\u4e0eX2\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\uff0c\u662f\u5426\u6709\u8bc1\u636e\u8868\u660e\u8d2d\u8fdb\u4ef7\u683c\u3001\u9500\u552e\u4ef7\u683c\u4e0e\u9500\u552e\u8d39\u7528\u4e4b\u95f4\u5b58\u5728\u7ebf\u6027\u5173\u7cfb
\uff081\uff09ryxi =0.308952067 ryx2=0.001214062,
\u6ca1\u6709\u8bc1\u636e\u3002\uff08+2\uff09
\uff082\uff09\u6839\u636e\u4e0a\u8ff0\u7ed3\u679c\uff0c\u4f60\u8ba4\u4e3a\u7528\u8d2d\u8fdb\u4ef7\u683c\u4e0e\u9500\u552e\u8d39\u7528\u6765\u9884\u6d4b\u662f\u5426\u6709\u7528\uff1f
\u6ca1\u6709\u7528\u3002\uff08+2\uff09
\uff083\uff09\u6839\u636eEXCEL\u56de\u5f52\u8f93\u51fa\u7ed3\u679c\uff0c\u5199\u51fa\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u5e76\u68c0\u9a8c\u7ebf\u6027\u5173\u7cfb\u662f\u5426\u663e\u8457\uff08 \uff09\u3002

Significance F=0.073722> =5%
\u7ebf\u6027\u5173\u7cfb\u4e0d\u663e\u8457\u3002\uff08+3\uff09
\uff084\uff09\u89e3\u91ca\u5224\u5b9a\u7cfb\u6570R2\uff0c\u6240\u5f97\u7ed3\u8bba\u4e0e\u95ee\u9898\uff082\uff09\u4e2d\u662f\u5426\u4e00\u81f4
R2=35.25% , \u5728\u9500\u552e\u4ef7\u4ef7\u683c\u7684\u603b\u53d8\u5dee\u4e2d\uff0c\u88ab\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u6240\u89e3\u91ca\u7684\u6bd4\u4f8b\u662f35.25%\uff0c\u4e00\u81f4\u3002\uff08+3\uff09
\uff085\uff09X1\u4e0eX2\u4e4b\u95f4\u7684\u76f8\u5173\u7cfb\u6570\u662f\u4ec0\u4e48\uff1f\u610f\u5473\u7740\u4ec0\u4e48\uff1f
rx1x2=-0.8529\uff0c\u9ad8\u5ea6\u76f8\u5173\uff08+2\uff09
\uff086\uff09\u6a21\u578b\u4e2d\u662f\u5426\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff1f\u4f60\u5bf9\u6a21\u578b\u6709\u4f55\u7279\u957f\u5efa\u8bae\uff1f
\u53ef\u80fd\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff1b\u8fdb\u4e00\u6b65\u68c0\u9a8c\u662f\u5426\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\uff0c\u5bf9X1\u4e0eX2\u7684\u6837\u672c\u76f8\u5173\u7cfb\u6570\u8fdb\u884c\u663e\u8457\u6027\u68c0\u9a8c\uff08rx1x2=-0.8529\uff09\uff0c\u5982\u679c\u662f\u663e\u8457\uff0c\u5373\u53ef\u786e\u5b9a\u4e3a\u5b58\u5728\u591a\u91cd\u5171\u7ebf\u6027\u3002\uff08+2\uff09
\u5bf9\u6a21\u578b\u6709\u4f55\u7279\u957f\u5efa\u8bae\uff1a\u6839\u636e\u7814\u7a76\u76ee\u7684\uff0c\u5220\u6389\u76f8\u5bf9\u6b21\u8981\u7684\u89e3\u91ca\u53d8\u91cf\u3002\uff08+1\uff09

4. (1)\u4e09\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u989d\u6307\u6570; \uff08+3\uff09
\u4e09\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u989d\u6307\u6570=\u2211q1p1/\u2211q0p0
=568.8/472=120.51%
\u2211q1p1-\u2211q0p0==568.8-472=96.8\u4e07\u5143
(2)\u4e09\u79cd\u4ea7\u54c1\u7684\u9500\u552e\u91cf\u6307\u6570; \uff08+3\uff09
Iq=\u2211q1p01/\u2211q0p0
=557.2/472=118.05%
\u2211q1p0-\u2211q0p0
=557.2-472=85.2\u4e07\u5143
(3)\u4e09\u79cd\u4ea7\u54c1\u7684\u4ef7\u683c\u6307\u6570; \uff08+3\uff09
Ip=\u2211q1p1/\u2211q1p0
=568.8/557.2=1.0208=12.08%
\u2211q1p1-\u2211q1p0
=568.8-557.2=11.6\u4e07\u5143
(4) \u5206\u6790\u4ea7\u91cf\u548c\u5355\u4f4d\u4ef7\u683c\u7684\u53d8\u52a8\u5bf9\u9500\u552e\u989d\u5f71\u54cd\u7684\u76f8\u5bf9\u6570\u548c\u7edd\u5bf9\u6570\u3002\uff08+5\uff09
120.51%=118.05%*102.08% \uff08+3\uff09
96.8\u4e07\u5143\u4e07\u5143=85.2\u4e07\u5143+11.6\u4e07\u5143 \uff08+2\uff09



\u9700\u8981\u5217\u7684\uff0c\u4f60\u770b\u4e00\u4e9b\u8bba\u6587\u5c31\u77e5\u9053\u4e86

在概率论和统计学中,协方差用于衡量两个变量的总体误差。而方差是协方差的一种特殊情况,即当两个变量是相同的情况。
期望值分别为E(X) = μ 与 E(Y) = ν 的两个实数随机变量X与Y之间的协方差定义为:
COV(X,Y)=E[(X-E(X))(Y-E(Y))]
其中,E是期望值。它也可以表示为:
直观上来看,协方差表示的是两个变量总体误差的方差,这与只表示一个变量误差的方差不同。

扩展阅读:随机变量x~n(1 ... 人生是一次均值回归 ... 4) ... 人类智商的均值回归图 ... 家族智商均值回归 ... 智商均值回归是谁说的 ... 大于小于号正确写法 ... 遗传学智商均值回归 ... 5个变量可构成 个最小项 ...

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