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(完整word版)R软件一元线性回归分析.pdf

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1、R 软件一元线性回归分析数据选自数理统计教材例题8.4.1 合金钢强度与碳含量的数据序号碳含量/%合金钢强度/107pa 1 0.10 42.0 2 0.11 43.0 3 0.12 45.0 4 0.13 45.0 5 0.14 45.0 6 0.15 47.5 7 0.16 49.0 8 0.17 53.0 9 0.18 50.0 10 0.20 55.0 11 0.21 55.0 12 0.23 60.0 这里取碳含量为 x 是普通变量，取合金钢强度为y 是随机变量使用 R软件对以上数据绘出散点图程序如下：x=matrix(c(0.1,42,0.11,43,0.12,45,0.13,45

2、,0.14,45,0.15,47.5,0.16,49,0.17,53,0.18,50,0.2,55,0.21,55,0.23,60),nrow=12,ncol=2,byrow=T,dimnames=list(1:12,c(C,E)outputcost=as.data.frame(x)plot(outputcost$C,outputcost$E)精品资料-欢迎下载-欢迎下载名师归纳-第 1 页，共 8 页 -0.100.120.140.160.180.200.2245505560outputcost$Coutputcost$E很显然这些点基本上（但并不精确地）落在一条直线上。下面在之前数据录入

3、的基础上做回归分析（程序接前文，下同）lm.sol=lm(EC,data=outputcost)summary(lm.sol)得到以下结果：Call:lm(formula=E C,data=outputcost)Residuals:Min 1Q Median 3Q Max-2.00449-0.63600-0.02401 0.71297 2.32451 Coefficients:Estimate Std.Error t value Pr(|t|)(Intercept)28.083 1.567 17.92 6.27e-09*C 132.899 9.606 13.84 7.59e-08*-Signi

4、f.codes:0*0.001*0.01 *0.05 .0.1 1 Residual standard error:1.309 on 10 degrees of freedom Multiple R-squared:0.9503,Adjusted R-squared:0.9454 F-statistic:191.4 on 1 and 10 DF,p-value:7.585e-08 由计算结果分析：精品资料-欢迎下载-欢迎下载名师归纳-第 2 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K

5、6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6

6、ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G

7、3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文

8、档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB

9、10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9

10、T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 H

11、I8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8常数项0=28.083，变量（即碳含量）的系数1=132.899 得到回归方程：y=28.083+132.899x 由于回归模型建立使用的是最小二乘法,而最小二乘法只是一种单纯的数学方法 ,存在着一定的缺陷,即不论变量间有无相关关系或有无显著线性相关关系,用最小二乘法都可以找到一条直线去拟合变量间关系

12、。所以回归模型建立之后,还要对其进行显著性检验：在上面的结果中sd(0）=1.567，sd(1)=9.606。而对应于两个系数的 P值 6.27e-09和 7.59e-08，故是非常显著的。关于方程的检验，残差的标准差=1.309。相关系数的平方 R2=0.9503。关于 F分布的 P值为 7.585e-08，也是非常显著的。我们将得到的直线方程画在散点图上，程序如下：abline(lm.sol)得到散点图及相应的回归直线：精品资料-欢迎下载-欢迎下载名师归纳-第 3 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8

13、E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9

14、 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P1

15、0K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R

16、6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G

17、6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A

18、8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:

19、CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A80.100.120.140.160.180.200.2245505560outputcost$Coutputcost$E下面分析残差：在 R软件中，可用函数residuals（）计算回归方程的残差。程序如下：y.res=residuals(lm.sol);plot(y.re

20、s)得到残差图精品资料-欢迎下载-欢迎下载名师归纳-第 4 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB1

21、0G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T

22、1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI

23、8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6

24、C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 Z

25、V2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3

26、Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A824681012-2-1012Indexy.res从残差图可以看出，第 8 个点有些反常

27、，这样我们用程序将第8 个点的残差标出，程序如下：text(8,y.res8,labels=8,adj=1.2)24681012-2-1012Indexy.res8精品资料-欢迎下载-欢迎下载名师归纳-第 5 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9

28、 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P1

29、0K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R

30、6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G

31、6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A

32、8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:

33、CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8

34、E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8这个点可能有问题，下面做简单处理，去掉该样本点，编程如下：i=1:12;outputcost2=as.data.frame(xi!=8,)lm2=lm(EC,data=outputcost2)summary(lm2)结果输出如下：Call:lm(formula=E C,data=outputcost2)Residuals:Min 1Q Median 3Q Max-1.7567-0.5067-0.1308 0.6821 1.6787 Coefficients:Estimate Std.Error t value Pr(|t|)(Int

35、ercept)28.124 1.335 21.06 5.75e-09*C 131.293 8.217 15.98 6.51e-08*-Signif.codes:0 *0.001 *0.01 *0.05 .0.1 1 Residual standard error:1.115 on 9 degrees of freedom Multiple R-squared:0.966,Adjusted R-squared:0.9622 F-statistic:255.3 on 1 and 9 DF,p-value:6.506e-08 由结果分析，去掉第8 个点之后，回归方程系数变化不大，R2 相关系数有所提

36、高，并且p-值变小了，这说明样本点8 可以去掉。所得新模型较为理想。总结程序如下：x2=matrix(c(0.1,42,0.11,43,0.12,45,0.13,45,0.14,45,0.15,47.5,0.16,49,0.18,50,0.2,55,0.21,55,0.23,60),nrow=11,ncol=2,byrow=T,dimnames=list(1:11,c(C,E)outputcost=as.data.frame(x2)plot(outputcost$C,outputcost$E)lm.sol=lm(EC,data=outputcost)精品资料-欢迎下载-欢迎下载名师归纳-第

37、6 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G

38、3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文

39、档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB

40、10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9

41、T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 H

42、I8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K

43、6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8summary(lm.sol)Call:lm(formula=E C,data=outputcost)Residuals:Min 1Q Media

44、n 3Q Max-1.7567-0.5067-0.1308 0.6821 1.6787 Coefficients:Estimate Std.Error t value Pr(|t|)(Intercept)28.124 1.335 21.06 5.75e-09*C 131.293 8.217 15.98 6.51e-08*-Signif.codes:0*0.001*0.01 *0.05 .0.1 1 Residual standard error:1.115 on 9 degrees of freedom Multiple R-squared:0.966,Adjusted R-squared:0

45、.9622 F-statistic:255.3 on 1 and 9 DF,p-value:6.506e-08 abline(lm.sol)得到最后的散点图和回归直线0.100.120.140.160.180.200.2245505560outputcost$Coutputcost$E精品资料-欢迎下载-欢迎下载名师归纳-第 7 页，共 8 页 -文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7

46、A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码

47、:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G

48、8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I

49、9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P

50、10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4R6 ZV2G6G3Y7A8文档编码:CB10G8E9T1I9 HI8P10K6C4

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