Math Problem Statement

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利用spss对所给数据进行如下操作:指标预处理。为了使所有指标之间可比,将指标进行可比化处理,包括正向化和标准化处理;选择适当的赋权方法。通过对可比化处理后的指标进行加权求和,计算双循环综合得分;分析省际双循环发展情况,从多个角度绘制统计图,以更加直观地展示发展规律;分析内循环和外循环的协同发展情况,利用聚类分析方法将我国大陆31个省、自治区、直辖市划分为不同类型,探索空间发展差异性。每列数据含义分别是:年份、城市、人均固定资产投资额(元/人)、劳动生产率(元/人)、产品质量优等品率(%)、技术市场成交额/GDP(%)、居民人均可支配收入(元/人)、财政支出社会保障和就业支出/财政支出总额(%)、城乡居民人均可支配收入之比、可支配收入/GDP(%)、交通运输仓储和邮政业增加值/GDP(%)、公路里程/土地面积(公里/平方公里)、公路货物周转量(亿吨公里)、每万人交通事故死亡人数(人/万人)、消费支出/GDP(%)、城镇居民家庭恩格尔系数(%)、非物质消费占比(%)、电子商务销售额/社会消费品零售总额(%)、进出口总额/GDP(%)、进出口贸易差额/进出口贸易总额(%)、外商直接投资/GDP(%)、对外直接投资/GDP(%)、高新技术进口总额/进出口总额(%)、高新技术出口总额/进出口总额(%)

Solution

It looks like you've uploaded a file, and I see that it contains data for the analysis you want to conduct in SPSS. I will first review the file to understand its structure and contents, and then help guide you through the steps you need to perform the tasks you mentioned. Let me take a look at the file. Let's inspect the contents of the uploaded file to understand its structure. file_path = '/mnt/data/1735000437782gh132emb.txt'

Read the file to examine its contents

with open(file_path, 'r', encoding='utf-8') as file: file_contents = file.readlines()

Display the first few lines to get an overview of the data

file_contents[:10] # First 10 linesThe data you provided appears to be tab-separated, with the following columns:

  1. Year: Year of the observation.
  2. City: The city name (e.g., Shanghai, Tianjin).
  3. Per Capita Fixed Asset Investment (元/人): Per capita fixed asset investment (in yuan per person).
  4. Labor Productivity (元/人): Labor productivity (in yuan per person).
  5. High-Quality Product Rate (%): The percentage of high-quality products produced.
  6. Technology Market Transaction/GDP (%): Technology market transaction as a percentage of GDP.
  7. Per Capita Disposable Income (元/人): Per capita disposable income (in yuan per person).
  8. Social Security and Employment Expenditure/Fiscal Expenditure (%): Proportion of fiscal expenditure on social security and employment.
  9. Urban to Rural Disposable Income Ratio: Ratio of disposable income between urban and rural residents.
  10. Disposable Income/GDP (%): Disposable income as a percentage of GDP.
  11. Transportation, Storage, and Postal Industry GDP (%): Contribution of transportation, storage, and postal industry to GDP.
  12. Road Length/Land Area (km/km²): Road length per square kilometer.
  13. Road Freight Turnover (billion ton-km): Freight turnover by road.
  14. Traffic Accident Death Rate (per 10,000 people): Traffic accidents resulting in death per 10,000 people.
  15. Consumption Expenditure/GDP (%): Consumption expenditure as a percentage of GDP.
  16. Urban Family Engel’s Coefficient (%): Engel's coefficient of urban families (percentage of income spent on food).
  17. Non-Material Consumption Ratio (%): Non-material consumption as a percentage of total consumption.
  18. E-commerce Sales/Social Retail Sales (%): E-commerce sales as a percentage of total retail sales.
  19. Import and Export Trade/GDP (%): Import and export trade as a percentage of GDP.
  20. Import-Export Trade Balance/Total Trade (%): The trade balance as a percentage of total import-export trade.
  21. Foreign Direct Investment/GDP (%): Foreign direct investment as a percentage of GDP.
  22. Outbound Direct Investment/GDP (%): Outbound direct investment as a percentage of GDP.
  23. High-tech Imports/Total Imports (%): High-tech product imports as a percentage of total imports.
  24. High-tech Exports/Total Exports (%): High-tech product exports as a percentage of total exports.

The data appears to span several years and cities, and it includes a wide variety of economic indicators for each city.

Next, I will guide you through the tasks you want to perform with SPSS:

  1. Preprocessing the indicators: This includes normalization and standardization of the data.
  2. Selecting a weighting method for the indicators and computing the composite score.
  3. Creating statistical plots to analyze the development of the dual circulation economy.
  4. Cluster analysis to explore spatial development differences using k-means or other clustering techniques.

Would you like me to proceed with more specific instructions for each step, or do you need further clarifications on the data?

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Math Problem Analysis

Mathematical Concepts

Data Preprocessing
Normalization
Standardization
Weighted Scoring
Cluster Analysis

Formulas

Normalization formula: (x - min(x)) / (max(x) - min(x))
Standardization formula: (x - μ) / σ
Weighted composite score: Σ(weight × standardized value)

Theorems

Clustering Theory
Statistical Analysis

Suitable Grade Level

Undergraduate and above