How to caluclate the SSE from a regression line y13323xSolut

How to caluclate the SSE from a regression line?

y=13/3-2/3x

Solution

y = 13/3 - 2/3x

Well, first off, we need the given table that consists of the x-y values....

Lets call those as the \"Actual y-values\".

Now, using this regression line, for the same x-values, we can use the relation, y = 13/3 - (2/3)x
to find the values of y for the very same x-values in the question....

Lets call these y-values as the \"Calculated y-values\"

Now, for each x-value, we will find the (Actual y-value) - (Calculated y-value). These values will come under the heading \"Residue\".

Now, we will square each residue value. Of course, since we are squaring residue, each residue value will be POSITIVE...

Now, add all the residue values...

SSE = Sum of all residue values

This is how we find the SSE