Me: if the equation of the regression line for the data set (3,,,10) is y=2/3x+2, what is the sse for the data set?

The SSE for the data set is:  24

The data points are given by:

        (3,6),(6,2),(9,10)

The data points are as follows:

when x=3   y=6

when x=6   y=2

and when x=9   y=10

Also, the line of best fit is as follows:

The SSE( sum of square for error ) is calculated as follows:

when x=3

from the line of best fit we have: y=4

when x=6

then y=6

when x=9

then y=8

when x=3        6-4= -2

when x=6       2-6= -4

and when x=9      10-8=2

Hence, the square of these difference quantity is:

(-2)²=4

(-4)²=16

and (2)²=4

Hence, the sum of these square quantity is: 4+16+4=24

Hence, the SSE of data is:  24

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