Question

6th grade and the coefficients is still on for​

Answer 1

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6th grade and the coefficients is still on for the help.

Answer 2

Answer:

The regression coefficients are a statically measure which is used to measure the average functional relationship between variables. In regression analysis, one variable is dependent and other is independent. Also, it measures the degree of dependence of one variable on the other(s).

The regression coefficient was first used to measure the relationship between the heights of fathers and their sons. Regression coefficients are also known as the slope coefficient. Since it determines the slope of the line which is the change in the independent variable for the unit change in the independent variable.

Classification of Regression Coefficient

Simple partial and multiple

Positive and negative

Linear and non-linear

Some of the properties of regression coefficient:

It is generally denoted by ‘b’.

It is expressed in the form of an original unit of data.

If two variables are there say x and y, two values of the regression coefficient are obtained. One will be obtained when x is independent and y is dependent and other when we consider y as independent and x as a dependent. The regression coefficient of y on x is represented by byx and x on y as bxy.

Both of the regression coefficients must have the same sign. If byx is positive, bxy will also be positive and it is true for vice versa.

If one regression coefficient is greater than unity, then others will be lesser than unity.

The geometric mean between the two regression coefficients is equal to the correlation coefficient

Also, the arithmetic means (am) of both regression coefficients is equal to or greater than the coefficient of correlation.

(byx + bxy)/2= equal or greater than r.

The regression coefficients are independent of the change of the origin. But, they are not independent of the change of the scale. It means there will be no effect on the regression coefficients if any constant is subtracted from the value of x and y. If x and y are multiplied by any constant, then the regression coefficient will change.

Step-by-step explanation:

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