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单选题某抽样研究资料,变量与的标准差相等时,若同时进行直线回归分析和直线相关分析,以下正确的是

A.

B.

C.

D.

E.

医学统计学课程封面

学科：医学统计学

时间：2023-05-12 15:58:00

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直线回归分析中,用于评价回归方程预测效果的指标是

A. 截距<img src="https://tihai-oss-cloud.itihey.com/img/7fead94e9c30de6de3cde5e545f05f5d.png">B. 回归系数<img src="https://tihai-oss-cloud.itihey.com/img/f4daeb14d4a195d5669ea3bdbaa017c1.png">C. 相关系数<img src="https://tihai-oss-cloud.itihey.com/img/2ea852f217546e1813a5cbf3ade3be8a.png">D. 决定系数<img src="https://tihai-oss-cloud.itihey.com/img/ac62948aa5f43f32eb421e2aeb16aeb7.png">E. 总离均差平方和<img src="https://tihai-oss-cloud.itihey.com/img/0bea9f46eae5611956f9d4b0d609e50d.png">

针对同一抽样研究资料的直线回归分析和直线相关分析中,下列不一定成立的是

A. <img src="https://tihai-oss-cloud.itihey.com/img/6e59ef4698dc82acb109c9843e663021.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/652d9f265f93923217f541046a49c38e.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/7058914d6ead7a5f9c59e771f7e981d4.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/aec9b73f9c860248abc10bf964d626e0.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/607e1c7261c196bd6761c75317341704.png">

对于一组服从双变量正态分布的资料,经直线相关分析得相关系数<img src="https://tihai-oss-cloud.itihey.com/img/9009e4a1204f0adc4e941d032ee2f1e3.png">,若对该资料拟合回归直线,其回归系数<img src="https://tihai-oss-cloud.itihey.com/img/f4daeb14d4a195d5669ea3bdbaa017c1.png">

A. <img src="https://tihai-oss-cloud.itihey.com/img/db12a7368dda77cba1b1eb15741e466d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/cea52734574873ccecb235598af786d4.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/af69ff3d121bda7ee44583f22a3ffd79.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/6bf4fc57f43b967cae111d6dc869389b.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/c5f0df9b82e542ecdfaea7c4d8b7c881.png">

一组服从双变量正态分布的资料,经直线相关分析得相关系数<img src="https://tihai-oss-cloud.itihey.com/img/960369534961500ed7b9f25a3deecc6c.png">,则有

A. <img src="https://tihai-oss-cloud.itihey.com/img/a8504fdbc6f84ad77eb81c5c5ab50e62.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/9d998edeb46d64fbd89906797b122248.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9d59d7d9f7b118e49777accac954880f.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/709d9710a5bfa06c69ba6a44e0ea6ab1.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/ea5449e240d186d7da8f47c235b6eb03.png">

某抽样研究资料,变量<img src="https://tihai-oss-cloud.itihey.com/img/b7753aaa055a9dfac7fd9b31f988d1d5.png">与<img src="https://tihai-oss-cloud.itihey.com/img/f7d0c48c9d6d9e587afc032c3fedea26.png">的标准差相等时,若同时进行直线回归分析和直线相关分析,以下正确的是

A. <img src="https://tihai-oss-cloud.itihey.com/img/c6a9c2ca9101c74392ae29710d4e6e31.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/db1dcca9aff27098e1a769586619b01b.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/33f4aae1c117ba8eb866ea328a763519.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a407fd4b6e3190ef992038944e52f4b2.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/a11c54c4a81a2790e526004ad482275e.png">

若直线回归系数<img src="https://tihai-oss-cloud.itihey.com/img/af69ff3d121bda7ee44583f22a3ffd79.png">,则一定有

A. 截距等于0B. 截距等于<img src="https://tihai-oss-cloud.itihey.com/img/86a1e4e7bedf2ecaed0f50e6f7add4f7.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/190dda25ff450949b7307b3f602183ad.png">等于0D. <img src="https://tihai-oss-cloud.itihey.com/img/d6c466c476726a6b341e1b9aed35d8fe.png">等于0E. <img src="https://tihai-oss-cloud.itihey.com/img/190dda25ff450949b7307b3f602183ad.png">等于<img src="https://tihai-oss-cloud.itihey.com/img/1479e5fffc7c2afab11ebb326b29440f.png">

两组服从双变量正态分布的资料,若两样本回归系数<img src="https://tihai-oss-cloud.itihey.com/img/59a44f7335fa1b97d3c15da4229ff671.png">,<img src="https://tihai-oss-cloud.itihey.com/img/c65b185bb34fc81c034896e670371bd1.png">,则一定有

A. <img src="https://tihai-oss-cloud.itihey.com/img/1d14c6dc0f5a3af47eb3e74b5536dd2d.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a90088b4693dca681f56cb0810c6b903.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/a552410aaf9f0b2e526ae1d1c86245fc.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/78e4d3c94027e9fc5d292ddfdd9b8d31.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/ee18cdcb1e5ebce037809d48e0e24356.png">

最小二乘法的原理是各实测点

A. 距回归直线的纵向距离相等B. 距回归直线的纵向距离平方和最小C. 距回归直线的纵向距离最小D. 距回归直线的垂直距离相等E. 距回归直线的垂直距离平方和最小

直线回归分析中,按直线方程<img src="https://tihai-oss-cloud.itihey.com/img/d37f7dd3d10db15152a94776742cae43.png">,代入两点绘制回归直线,以下选项中正确的是

A. 所有实测点都应在回归直线上B. 所绘回归直线必过点<img src="https://tihai-oss-cloud.itihey.com/img/5829c45416c640b90020e0412b380be4.png">C. 回归直线必过原点D. <img src="https://tihai-oss-cloud.itihey.com/img/d239c7bdb5e8b6e4f772a3caf10a58f0.png">的取值范围为<img src="https://tihai-oss-cloud.itihey.com/img/e0b0e69d946aa684e200781d78f648c4.png">E. 实测值与估计值之差的平方和必小于零

同一资料进行直线回归与直线相关分析时,下列说法正确的是

A. <img src="https://tihai-oss-cloud.itihey.com/img/48748cfa813a6a493e79eebfa4a679eb.png">时,则<img src="https://tihai-oss-cloud.itihey.com/img/0912adc989a580c5ccd40e5249b09569.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/1aef2ac3edcc79ec59f55c3d5ba0f3ec.png">时,则<img src="https://tihai-oss-cloud.itihey.com/img/db12a7368dda77cba1b1eb15741e466d.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/c0e44a4e28dcf8301670cab4612895fa.png">时,则<img src="https://tihai-oss-cloud.itihey.com/img/db12a7368dda77cba1b1eb15741e466d.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/c0e44a4e28dcf8301670cab4612895fa.png">时,则<img src="https://tihai-oss-cloud.itihey.com/img/cea52734574873ccecb235598af786d4.png">E. <img src="https://tihai-oss-cloud.itihey.com/img/2cb7349cf1a0e285457760ba8f40b9c0.png">

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