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Problem: Regression line {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}} [ Calculator, Method and examples ]

Solution:
Your problem -> Regression line {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Mean bar x = (sum x_i)/n

 = (15+25+35+45+55)/5

 = 175/5

 = 35

Mean bar y = (sum y_i)/n

 = (15+25+20+12+8)/5

 = 80/5

 = 16

 Class-X Mid value x y X=(x-35)/10 Y=(y-16)/1 X^2 Y^2 X*Y 10 - 20 15 15 -2 -1 4 1 2 20 - 30 25 25 -1 9 1 81 -9 30 - 40 35 20 0 4 0 16 0 40 - 50 45 12 1 -4 1 16 -4 50 - 60 55 8 2 -8 4 64 -16 --- --- --- --- --- --- --- --- 175 80 sum X=0 sum Y=0 sum X^2=10 sum Y^2=178 sum X*Y=-27

byx = (sum XY)/(sum X^2)

=-27/10

=-2.7

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

y - 16 = -2.7 (x - 35)

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