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Python气象处理绘图——局部加权线性回归

  • 2026-07-02 16:52:43
Python气象处理绘图——局部加权线性回归

前言

大数据进行分析的时候,有时候需要在散点图中添加回归线,而seaborn中regplot自带的Lowess拟合的效果比较差,因此本文利用python的statsmodels.api中的sm.nonparametric.lowess(y, x, frac=k)进行按需的lowess拟合。

Lowess介绍?

statemodels 笔记: lowess

import statsmodels.api as smlowess = sm.nonparametric.lowesslowess(   endog = y值(一维numpy数组),  exog = x值(一维numpy数组),  frac = 使用多少比例的数据来拟合曲线(0~1, 值越大平滑的力度越大),  is_sorted = 告诉程序数据是否按 x值 排序(TrueFalse默认), 默认会把数据排序,  missing =  (‘none’, ‘drop’, and ‘raise’) 'none'不进行缺失值检查,'drop'丢弃含有缺失值的样本(默认), 'raise'有缺失值会报错,  return_sorted = (True(默认), False) 返回的数据按 x值 排序)

使用步骤

1.引入库

代码如下(示例):

iimport numpy as npimport warningswarnings.filterwarnings('ignore')import matplotlib.pyplot as pltimport pandas as pdfrom scipy.interpolate import interp1dimport statsmodels.api as sm

2.读入数据并绘制图片

代码如下(示例):

data=sns.load_dataset("tips")data.head(5df1 = data.set_index(['sex','day'])#设置两层索引方式'time','size'def findxy(df1,sex,day,k,n):    Y=df1.loc[(sex,day),'total_bill']#提取横纵坐标值    X=df1.loc[(sex,day),'tip']    x=np.array(X[:])    y=np.array(Y[:])    # lowess will return our "smoothed" data with a y value for at every x-value    lowess = sm.nonparametric.lowess(y, x, frac=k)    # unpack the lowess smoothed points to their values    lowess_x = list(zip(*lowess))[0]    lowess_y = list(zip(*lowess))[1]    ax[n].plot(y, x, 'o',markersize=1.2,color='b')    ax[n].plot( lowess_y,lowess_x, '-',linewidth=1.5,color='r')    return(x,y,lowess_x,lowess_y)r=['Male','Female']s=['Sun','Sat','Thur','Fri']# 创建一个2*3网格子图,每行的3个子图使用相同的y轴坐标,每列的2个子图使用相同的x轴坐标fig, ax = plt.subplots(2,4, figsize=(1814),sharex='col', sharey=True)ax = ax.ravel()for i in range(2):    for j in range(4):        ax[i*4].set(ylabel=r[i],        #title='About as simple as it gets, folks'        )        ax[j].set_title(s[j])#设置上标题       #ax[i].set_xlabel('Temperature trend($^\circ$C/10y)', font1)#for i in range(16,20):#    ax[i].set(xlabel='Temperature trend($^\circ$C/10y)'#    )#fig.suptitle('Temperature trend($^\circ$C/10y)',x=0.5, y=0.05, fontsize=12)fig.text(0.060.5'Total bill (yuan)', va='center', rotation='vertical', fontsize=12)fig.text(0.50.05'Tip', va='center', ha='center', fontsize=12)#fig.suptitle('Elevation(m)',x=0.05, y=0.5, fontsize=12)for i in range(2):    for j in range(4):        n=i*4+j        findxy(df1,r[i],s[j],0.5,n)  

其中值得注意的是,可以先将自己感兴趣的两层设置成索引层。

df1 = data.set_index(['sex','day'])#设置两层索引方式'time','size'df1.index#提取横纵坐标值Y=df1.loc[('Male','Sun'),'tip']X=df1.loc[('Male','Sun'),'total_bill']

总结

以上就是今天要讲的内容,本文仅仅简单介绍了pandas于Lowess的使用,完善了seaborn.regplot()中lowess无法自己按照需求选择的问题。

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版权声明:本文为CSDN博主「努力努力再努力搬砖」的原创文章,转载请附上原文出处链接及本声明。

原文链接:https://blog.csdn.net/weixin_43347581/article/details/129141416

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  1. CONNECT:[ UseTime:0.000557s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000814s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000325s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000253s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000487s ]
  6. SELECT * FROM `set` [ RunTime:0.000225s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000498s ]
  8. SELECT * FROM `article` WHERE `id` = 495957 LIMIT 1 [ RunTime:0.000479s ]
  9. UPDATE `article` SET `lasttime` = 1783027501 WHERE `id` = 495957 [ RunTime:0.005167s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000236s ]
  11. SELECT * FROM `article` WHERE `id` < 495957 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000538s ]
  12. SELECT * FROM `article` WHERE `id` > 495957 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000464s ]
  13. SELECT * FROM `article` WHERE `id` < 495957 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001007s ]
  14. SELECT * FROM `article` WHERE `id` < 495957 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.001219s ]
  15. SELECT * FROM `article` WHERE `id` < 495957 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.001668s ]
0.085219s