Given the data points below, compute the sum of squared errors for the regression equation Y
=
2
+
3
X
.

X

0

3

7

10

Y

5

5

27

31

The sum of squared errors for the regression equation is 62.

Step-by-step explanation:

The sum of squared errors can be computed as follows:

X            Y           Y* = 2 + 3X         Y - Y*           (Y - Y*)^2

0            5                  2                      3                    9

3            5                  11                     -6                  36

7            27               23                     4                    16

10          31                32                    -1                     1  

20         68               68                     0                   62

From the above, we have:

Error = Y -  Y*

Error^2 = (Y - Y*)^2

Sum of squared errors = Sum of Error^2 = Total of (Y - Y*)^2 = 62

Therefore, the sum of squared errors for the regression equation is 62.

12

Step-by-step explanation:

A polynomial is an expression that contains more than one number, letter, etc. so 12 is a monomial, because it only has one number. Hope this helps!!