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Mathematical modeling paper (the relationship between educational financial input and GDP)
The relationship between GDP.

1. Correlation Analysis and Causality Test of Education Expenditure and GDP in Inner Mongolia

1. Correlation analysis between education expenditure and GDP in Inner Mongolia.

Based on the given and collected data of Inner Mongolia. The correlation analysis between education expenditure and GDP in Inner Mongolia shows that there is a very close relationship between them. The chart below shows the scatter plot of education expenditure and GDP in Inner Mongolia.

(Unit: 100 million yuan)

Y in the above figure represents GDP, and X represents the education expenditure in the budget.

2. The causality test between education expenditure and GDP in Inner Mongolia.

Firstly, according to economic theory and practical experience, determine the relevant influencing factors; Then use statistical data such as decision coefficient and t-test to judge whether the selected project has significant influence. The following test is Granger causality test, and its steps are shown in table 1.

3. Simple linear regression analysis of education expenditure and GDP in Inner Mongolia.

4. Generalized differential regression analysis of education expenditure and GDP in Inner Mongolia.

Four. Model test and related suggestions

The above two models show that there is a close relationship between education expenditure and GDP. The increase of GDP makes education expenditure increase, and the increase of education expenditure in turn promotes the increase of GDP. Judging from the GDP and education expenditure of China's provinces in 2008, 2009 and 20 10, the above viewpoint is correct. In this regard, some suggestions are made.

First, increase investment. From now on, leaders at all levels should stand at the height of the times and the overall situation, understand the far-reaching significance of giving priority to the development of education and implementing the strategy of rejuvenating the country through science and education, regard increasing investment in education as the basic and leading work of giving priority to the development of education and implementing the strategy of rejuvenating the country through science and education, make great determination, formulate major policies, make great efforts with major measures, further strengthen the role of financial input as the main channel, and increase the proportion of educational expenditure in the fiscal expenditure at the central and provincial levels.

Second, improve laws and regulations. It is necessary to formulate the Education Investment Law (or the Education Budget Law) as soon as possible, so as to guarantee the education investment from the legal level.

Third, stipulate the total amount of education funds invested by governments at all levels. When making budget arrangements, it is necessary to ensure the realization of the "three growth" stipulated in the Education Law (that is, the growth of education funds in the central and local budgets is higher than the growth of recurrent income at the corresponding level, and the per capita education funds of students are gradually increasing, ensuring that teachers' salaries and per capita public funds of students are increasing year by year).

Fourth, improve the decision-making process of education budget. Strengthen the examination and supervision of the people's congresses at all levels on the education budget of the government at the same level, and set up education funding committees under the people's congresses at all levels.

In addition, the Education Appropriation Committee should strictly supervise the implementation of the education budget.

20 10 years is 17 years after the 4% target was put forward, and the national legal standard time has passed 10 years. For the masses, this process has been too long, so this goal must not be delayed until 20 15 or 2020. It is a goal that fiscal education expenditure accounts for 4% of GDP, which should be achieved, must be achieved and can be achieved completely. If the implementation of free compulsory education is a landmark event in the history of China's education development, then I believe it is another significant event in China's education development and reform for a long time to come.

V. Evaluation of the model

In this paper, the generalized differential regression analysis method and the differential equation in the regression model are used to solve the model, and the conclusion is basically drawn.

Reference of intransitive verbs

1.Building a Powerful Country of Human Resources in 2020 —— Interpretation of Key Words in the Outline of Education Planning

Beijing daily

2. Baidu Library Grey Model