Outliers are no problem

Algebra Level 4

Find the best line to fit the data points (1,0),(2,0),,(9,0),(10,40). (1,0), (2,0), \ldots, (9,0), (10,40). Use the least squares method: the line should be the one that minimizes the sum of the squares of the errors in the yy-coordinates.

If the line is written as y=mx+b, y = mx+b, where m=pq m =\frac pq with pp and qq being coprime prime positive integers and b b is an integer, find p+q+b.p+q+b.

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