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split 10 in two parts such that sum of their squares is 52. answer in full formula
The sum of their squares is 10.
If the regression sum of squares is the explained sum of squares. That is, the sum of squares generated by the regression line. Then you would want the regression sum of squares to be as big as possible since, then the regression line would explain the dispersion of the data well. Alternatively, use the R^2 ratio, which is the ratio of the explained sum of squares to the total sum of squares. (which ranges from 0 to 1) and hence a large number (0.9) would be preferred to (0.2).
The square of the hypoentuse is equal to the sum of the squares of the other two sides.
Sum of squares? Product?