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Problem: Regression line {{10,3},{11,12},{12,18},{13,12},{14,3}} [ Calculator, Method and examples ]

Solution:
Your problem -> Regression line {{10,3},{11,12},{12,18},{13,12},{14,3}}

Mean bar x = (sum x_i)/n

 = (10+11+12+13+14)/5

 = 60/5

 = 12

Mean bar y = (sum y_i)/n

 = (3+12+18+12+3)/5

 = 48/5

 = 9.6

bar x = 12 is not an integer, use assumed mean A = 12

bar y = 9.6 is not an integer, use assumed mean B = 10

 x y dx=x-A=x-12 dy=y-B=y-10 dx^2 dy^2 dx*dy 10 3 -2 -7 4 49 14 11 12 -1 2 1 4 -2 12 18 0 8 0 64 0 13 12 1 2 1 4 2 14 3 2 -7 4 49 -14 --- --- --- --- --- --- --- 60 48 sum dx=0 sum dy=-2 sum dx^2=10 sum dy^2=170 sum dx*dy=0

byx = (n sum dx dy - (sum dx)(sum dy))/(n sum dx^2 - (sum dx)^2)

=(5 * 0 - 0 * -2 )/(5 * 10 - (0)^2)

=(0 + 0 )/(50 - 0)

=0/50

=0

Regression Line y on x
y - bar y = byx (x - bar x)

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