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Find Regression line {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

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 `-2=(15-35)/10` -1 `-1=15-16` 4 `4=(-2)^2` 1 `1=(-1)^2` 2 `2=-2 xx -1`
20 - 302525 -1 `-1=(25-35)/10` 9 `9=25-16` 1 `1=(-1)^2` 81 `81=(9)^2` -9 `-9=-1 xx 9`
30 - 403520 0 `0=(35-35)/10` 4 `4=20-16` 0 `0=(0)^2` 16 `16=(4)^2` 0 `0=0 xx 4`
40 - 504512 1 `1=(45-35)/10` -4 `-4=12-16` 1 `1=(1)^2` 16 `16=(-4)^2` -4 `-4=1 xx -4`
50 - 60558 2 `2=(55-35)/10` -8 `-8=8-16` 4 `4=(2)^2` 64 `64=(-8)^2` -16 `-16=2 xx -8`
------------------------
`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)`






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