回归方程

When the regression equation has more than two independent variables, it defines a hyperplane.

当回归方程有2个以上的自变量时，形成的是一个超平面。

By virtue of his achievements, a basic regression equation is deduced showing how the government officials incorruptness promotes the economic development, and an estimation list is worked up to show how the economic development driven by incorruptness. The list proves that if a standard deviation is increased by the degree of incorruptness, the per capita GDP growth rate will increase by 0.3%, the education investment in GDP will increase by 0.23% and the ratio of social welfare expenditure to GDP will increase by 1.56%.

Mauro，借助Mauro的研究成果，归纳出廉洁促进经济发展的基本回归方程，并制作了清廉度促进经济发展的估算表，清廉度每提高一个标准差可使"人均GDP增长率"增加0.3个百分点，"教育投资占GDP的比例"增加0.23个百分点，"社会福利支出占GDP比例"增加1.56个百分点。

Based on the statistics of large amount of data,a regression equation of the relationship between tensile strength and hardness of gray irons melted in medium frequency induction furnace was built.

对大量的测量数据进行了统计分析，建立了在中频感应电炉熔炼灰铸铁的生产条件下抗拉强度与硬度之间的回归方程。

However, this value might be inflated if the number of data points was insufficient to calculate a universal regression equation.

但是如果数据点的数量不足以用来进行回归方程计算时，这个值也可能非常大。

This article describes the conditions of production and application of middle and small-sized RE-Mg ductile iron ingot mold during the last three years, and gives main properties of these ingot molds mechanic properties at room and high temperatures, resistance to oxidation and thermal fatigue, critical phase transformation temperatures and coefficient of thermal expansion,etc.

本文介绍了三年来采用稀土镁球铁材质制造中、小型钢锭模的生产试制和使用情况。报导了此种钢锭模的主要性能(常温与高温机械性能、抗氧化与热疲劳性能、临界相变点与热膨胀系数等)和表示出机械性能与化学成分间相互关系的回归方程。

Indices~ mP 0 and 1 were fitted, respectively, with the heat of formation,ionic hydration energy, lattice energy ,internuclear distance bond lengthof 20 kinds of alkali halides; with the lattice energy of 20 kinds of alkali-earth metal halides,with the ionic hydration heat of 51 kinds of metals, and with the ionic standard heat of formation of 80 kinds of i.

用mP的0和1阶指数分别与20种碱金属卤化物的生成焓ΔfH m、离子水化能ΔhG m、晶格能U1、气态碱金属卤化物核间距R0，20种碱土金属卤化物的晶格能U2，51种金属离子水合焓ΔhH m关联，拟合的回归方程的相关系数为m和80种离子标准生成焓ΔfH 0.9753(0.9834)、0.9761(0.9816)、0.9964(0.9986)、0.9967(0.9967)、0.9789(0.9890)、0.9901和0.9805，满足优级或良级标准。

The nonlinearity and discrete gradient inherited in CAViaR model is a conundrum for parameter estimation. We take the asymmetric Laplace distribution with scale parameter as the error process; indicate the variance has a minimum positive value when the scale parameter is a constant, conflicting with the distribution of real financial data. Further we estimate the parameters of indirect TARCH-CAViaR model base on Bayesian framework and Markov chain Monte Carlo method. The optimal scale parameter can also be obtained by Markov chain Monte Carlo method.

CAViaR一般模型中递归分位回归方程的非线性和非连续可微性是参数估计的一个难题，基于含有尺度参数的不对称拉普拉斯分布作为误差过程，指出将尺度参数固定为常数会导致不对称拉普拉斯分布随机变量的方差存在最小正值的限制，与实际金融数据分布不符；进而提出采用贝叶斯分析和马尔科夫链蒙特卡罗模拟方法，估计间接TARCH-CAViaR模型的参数，并可获得尺度参数的合理估计。

Through the experiment with Pinus tabulaeformis, Robinia pseudoacacia and Lespedeza bicolor, the regression equation with varies of separation voltage and roller rotate speed is proposed and the most optimized electrical separation parameter arrangement is affirmed.

通过对油松、刺槐和胡枝子 3种林木种子的试验，得到了以分选电压和分选滚筒转速为变量的回归方程，井确定了最优化的电场分选参数组合。

Through the comparison of likelihood ratio test results, the sensitivity degrees of affecting slope stability factors were determined.

通过对回归方程的似然比检验进行模型优劣程度的对比，得出影响本区斜坡稳定性敏感因素的程度。

On the basis of that, a multiple linear regression equation appropriate to the site project was obtained.

并在此基础上，得到适合工程应用的线性回归方程。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。