2 研究影响人口数量变化的主要因素建立数学模型预测 2050 年我国的人口数量。有四个自变量分别是高等教育人数、移民人口、经济发展数据美元计、老年人数因变量是人口总数从表各个因素xlsx中读取数据建立人口增长模型matlab代码data1 = xlsread各个因素xlsx 高等教育人数;data2 = xlsread各个因素xlsx 移民人口;data3 = xlsread各个因素xlsx 经济
- Study the main factors affecting changes in population and establish a mathematical model to predict the population of China in 2050.
There are four independent variables: higher education population, immigrant population, economic development data (in USD), and elderly population. The dependent variable is the total population. Read the data from the file "各个因素.xlsx" for each factor.
Matlab code: data1 = xlsread('各个因素.xlsx', '高等教育人数'); data2 = xlsread('各个因素.xlsx', '移民人口'); data3 = xlsread('各个因素.xlsx', '经济发展数据'); data4 = xlsread('各个因素.xlsx', '老年人数');
Next, we can preprocess this data in order to establish a population growth model. First, we need to unify the year column of the four matrices into a vector, which we will call "years". Then, we need to normalize the data columns of the four matrices to facilitate the comparison of different variables.
Matlab code: years = data1(:, 1); % Get the year column
% Normalize the data columns data1(:, 2) = data1(:, 2) / max(data1(:, 2)); data2(:, 2) = data2(:, 2) / max(data2(:, 2)); data3(:, 2) = data3(:, 2) / max(data3(:, 2)); data4(:, 2) = data4(:, 2) / max(data4(:, 2));
Then, we can establish the population growth model. Assuming that there is a linear relationship between population and higher education population, immigrant population, economic development data, and elderly population, we can use a linear regression model to establish the population growth model. We can use the "fitlm" function in Matlab to fit the linear regression model and predict the population in 2050.
Matlab code: % Combine the data columns of the four matrices X = [data1(:, 2), data2(:, 2), data3(:, 2), data4(:, 2)];
% Establish the linear regression model model = fitlm(X, years);
% Predict the population in 2050 population2050 = predict(model, [0, 0, 0, 0.5]); % Assuming the elderly population accounts for 0.5 in 2050 and other variables are 0
disp(['The predicted population in 2050 is: ', num2str(population2050)])
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