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Problem: Regression line {{50-55,55-60,60-65,65-70},{90-100,100-110,110-120,120-130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}} [ Calculator, Method and examples ]

Solution:
Your problem `->` Regression line {{50-55,55-60,60-65,65-70},{90-100,100-110,110-120,120-130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}


C.I.`(y)`90 - 100100 - 110110 - 120120 - 130
M.V.`(y)`95105115125
C.I.`(x)`M.V.`(x)`
`dy`
`dx`
-1012`f_x``fdx``fdx^2``fdxdy`
50 - 5552.5-1[4]4[0]7[-5]5[-4]218-1818-5
55 - 6057.50[0]6[0]10[0]7[0]427000
60 - 6562.51[-6]6[0]12[10]10[14]735353518
65 - 7067.52[-6]3[0]8[12]6[12]320408018
`f_y`193728161005713331
`fdy`-190283241
`fdy^2`1902864111
`fdxdy`-80172231


`bar x = A + (sum fdx)/n * h_x`

`=57.5 + 57/100 * 5`

`=57.5 + 0.57 * 5`

`=57.5 + 2.85`

`=60.35`


`bar y = B + (sum fdy)/n * h_y`

`=105 + 41/100 * 10`

`=105 + 0.41 * 10`

`=105 + 4.1`

`=109.1`


`byx = (n * sum fdxdy - sum fdx * sum fdy ) / (n * sum fdx^2 - (sum fdx)^2) * (h_y)/(h_x)`

`=(100 * 31 - 57 * 41 )/(100 * 133 - (57)^2) * 10/5`

`=(3100 - 2337 )/(13300 - 3249) * 10/5`

`=763/10051 * 10/5`

`=0.1518`


Regression Line y on x





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