作业帮Adj.R-Square是什么
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Adj.R-Square是什么
R squared=1-SSE/SST,英文叫Coefficient of determination
The numerator of the fraction of r formula is
sum[(x-mean(x))*(y-mean(y))],and to counterbalance the dispersions of x and y,the denominator is std(x) and std(y).So r ranges from -1 to 1,and the greater is the absolute value of r,the closer of the ordered-pairs points to a line (the regression line).With a positive/negative r,the regression line has a positive/negative slope.
And to put the focus on the linearity between the two ramdom variables,people use the square of r more than r itself and it now ranges from 0 to 1.The extreme of 1 occurs when all the points are exactly on a sloppy line (which almost wouldn't happen to the real statisticcal application),and the other extreme 0 reflects that they don't show a line pattern at all,but it doesn't exclude the possibility that that are still not independent.Say,when the distribution pattern are symmetric in a vertical or horizental line.
The numerator of the fraction of r formula is
sum[(x-mean(x))*(y-mean(y))],and to counterbalance the dispersions of x and y,the denominator is std(x) and std(y).So r ranges from -1 to 1,and the greater is the absolute value of r,the closer of the ordered-pairs points to a line (the regression line).With a positive/negative r,the regression line has a positive/negative slope.
And to put the focus on the linearity between the two ramdom variables,people use the square of r more than r itself and it now ranges from 0 to 1.The extreme of 1 occurs when all the points are exactly on a sloppy line (which almost wouldn't happen to the real statisticcal application),and the other extreme 0 reflects that they don't show a line pattern at all,but it doesn't exclude the possibility that that are still not independent.Say,when the distribution pattern are symmetric in a vertical or horizental line.
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