1, simple correlation coefficient: also called correlation coefficient or linear correlation coefficient. Generally represented by the letter R, it is used to measure the linear correlation between quantitative variables.
2. Complex correlation coefficient: also called multiple correlation coefficient. Complex correlation refers to the correlation between dependent variable and multiple independent variables. For example, there is a complex correlation between the demand of a commodity and its price level and the income level of employees.
3. Partial correlation coefficient: also called partial correlation coefficient. Partial correlation coefficient reflects the correlation between one variable and another variable after correcting other variables, and the meaning of correction can be understood as assuming that all other variables take the average value. Hypothesis test of partial correlation coefficient is equivalent to T test of partial regression coefficient. Hypothesis test of complex correlation coefficient is equivalent to variance analysis of regression equation.
4. Canonical correlation coefficient: Firstly, the principal component analysis is carried out on each group of original variables to obtain new linear independent comprehensive indicators, and then the correlation between the original two groups of variables is studied by using the linear correlation of comprehensive indicators between the two groups.
5. The determinable coefficient is the square of the correlation coefficient. Significantness: the greater the determinable coefficient, the higher the degree of independent variables' explanation of dependent variables, and the higher the percentage of changes caused by independent variables in the total changes. The denser the observation points near the tropic of cancer.
Question 2: What does the correlation coefficient mean? Correlation coefficient.
Used to measure the linear correlation between variables.
The correlation coefficient of the proportional relationship is between 0.00- 1.00.
The correlation coefficient of the inverse relationship is between-1-0.00, and the greater the absolute value, the stronger the correlation.
Question 3: What is the meaning of correlation coefficient in linear regression equation? The greater the regression coefficient, the greater the influence of X on Y. A positive regression coefficient indicates that Y increases with the increase of X, and a negative regression coefficient indicates that Y decreases with the increase of X. 。
The slope b in the regression equation Y = BX+A is called the regression coefficient. Every time Table X changes 1 unit, on average, Y will change by B units.
In linear regression analysis, the correlation coefficient is 1, which is meaningless. Correlation coefficient is an indicator of the degree of correlation between variables. The sample correlation coefficient is expressed by R, the overall correlation coefficient is expressed by ρ, and the range of correlation coefficient is [- 1, 1]. The larger the value of | r |, the smaller the error q and the higher the linear correlation between variables. The closer the value of |r| is to 0, the greater the q and the lower the linear correlation between variables.
Question 4: What is the meaning of correlation coefficient in linear regression equation? R= (sum number (Xi-x average) (Yi-y average)/root number (sum number (Xi-x average) 2 and number (Yi-y average) 2) (sum is from 1 to n) r is generally used to measure the degree of linear correlation.
Question 5: What is the scientific term definition of correlation coefficient?
Chinese name: correlation coefficient English name: correlation coefficient; The definition of correlation coefficient is 1: it measures the closeness of linear correlation between two variables. For two variables x and y with capacity n, the correlation coefficient rxy can be written, in which the average value of two variables belongs to the discipline: atmospheric science (first-class discipline); Climatology (two disciplines) definition 2: the square root of the ratio of variation caused by regression factors to total variation. Discipline: ecology (first-class discipline); Mathematical ecology (two disciplines) definition 3: a quantity that measures the degree of correlation between two random variables. The range of correlation coefficient is (-1,+1). When the correlation coefficient is less than 0, it is called negative correlation; When it is greater than 0, it is called positive correlation; When it is equal to 0, it is called zero correlation. Discipline: genetics (first-class discipline); Population and quantitative genetics (two disciplines)