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

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


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-XMid value `x``y``X=(x-35)/10``Y=(y-16)/1``X^2``Y^2``X*Y`
10 - 201515-2-1412
20 - 302525-19181-9
30 - 403520040160
40 - 5045121-4116-4
50 - 605582-8464-16
------------------------
`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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