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线性回归计算方法是数理统计中常用方法之一。它的简式为y=a+bx,反映x与y之间线性关系的密切程度则用相关系数r 来表征。r的绝对值最大为1。当|r|=1时,称为完全线性相关,即两变量间是函数关系,当|r|=0时,称为零相关,说明两变量间不存在线性关系;当|r|越接近于1时,则表明线性相关越大。凡是两个变量之间存在线性相关,或是可化为直线型的曲线,用替换后的新变量均可代入线性回归式进行计算。粘土的造浆率加土量间存在相关关系,用具有回归计算功能的袖珍电子计算器计算分析某些造浆试验结果。现举实例说明如下:
The linear regression calculation method is one of the commonly used methods in mathematical statistics. Its simple form is y=a+bx, reflecting the closeness of the linear relationship between x and y is characterized by the correlation coefficient r. The absolute value of r is a maximum of 1. When |r|=1, it is called complete linear correlation, that is, the relationship between two variables is a function. When |r|=0, it is called zero correlation, indicating that there is no linear relationship between two variables; when |r| is closer At 1 o’clock, it indicates that the linear correlation is greater. Where there is a linear correlation between two variables, or can be transformed into a linear curve, the replaced new variable can be substituted into a linear regression equation for calculation. There is a correlation between the soil-forming rate of the clay and the amount of soil. The results of some pulping experiments are calculated and analyzed using a pocket calculator with regression calculation function. The following examples are described as follows: