生物统计学答案第十章一元回归及简单相关分析

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1、第十章一元回归及简单相关分析10.1对尿毒症患者采用低蛋白并补加基本氨基酸的食物进行治疗，分析该疗法对患者体内一些成分的影响。以下数据是在治疗前患者的基本数据[64]：体重（BW）/kg体内总钾（TBK）/mmol血清尿素（UREA）/（mmol·L-1）733147197036473672326625532650259737383477398236632900495431943866393016533419347039783463274726654181468836784182354039693912199141383562289

2、64374341050903679237438553871275050593583318032684766284645115480465111529038642960457136102469290531计算三者之间的相关系数，并检验相关的显著性。答：所用程序及计算结果如下：optionslinesize=76nodate;datauremia;infile'e:dataer10-1e.dat';inputbwtbkurea@@;run;proccorrnosimple;varbwtbkurea;run;TheSASSystemC

3、orrelationAnalysis3'VAR'Variables:BWTBKUREAPearsonCorrelationCoefficients/Prob>

4、R

5、underHo:Rho=0/N=30BWTBKUREABW1.000000.705940.285820.00.00010.1257TBK0.705941.000000.096610.00010.00.6116UREA0.285820.096611.000000.12570.61160.0三个变量间，只有体重(BW)和体内总钾(TBK)间相关显著，r＝0.70594。相关系

6、数的显著性概率P＝0.0001。10.2还是上例，经过一年的饮食治疗后，体内总钾量与治疗前的总钾量，如下表[64]：病人号治疗后/mmol治疗前/mmol163246314722327236472531103266282006265039287929004736203930513597397853308027475634203678382280240054236021055824902530以治疗前为自变量，治疗后为因变量，计算回归方程，并检验回归的显著性。答：计算结果如下：TheSASSystemTheREGProcedureMo

7、del:MODEL1DependentVariable:afterAnalysisofVarianceSumofMeanSourceDFSquaresSquareFValuePr>FModel12573589257358939.40<.0001Error1065326465326CorrectedTotal113226853RootMSE255.59029R-Square0.7976DependentMean2946.66667AdjR-Sq0.7773CoeffVar8.67388ParameterEstimatesParamet

8、erStandardVariableDFEstimateErrortValuePr>

9、t

10、Intercept1560.15163387.316121.450.1787before10.774470.123396.28<.0001回归方程为：t检验的显著性概率P<0.0001。故回归系数极显著。10.3调查河流中悬浮物每月沉淀的量与水流速度的关系，得到以下结果[65]：流量/（m3·min-1）每月上层沉积物/t流量/（m3·min-1）每月主流沉积物/t流量/（m3·min-1）每月下层沉积物/t1651.342546812181.

11、6199030023640.12010730848.62094559902.3162678611269.9671.326832.61834123592.44885993405.2148.755621.41477993325.34715491398.639156598.61080251763.81124041144.624843574.32005371429.7892011126.432939228.4503861404.479615675.49913204.8576081337.684191285.61189188.13094711

12、28.662034174.026416.31826823.187925104.2881655.95239597.4259595.16637947.1367569.12991345.970273.92049741.3136265.822