Question

Given the line y = 2.2x + 3, find the sum of the squared errors (also known as the error sum of squares or the error), E, for the three points (1, 3), (2, 4) and (4, 8). (Give an exact answer. Exact answer means give your answer as a fraction or a terminating decimal, DO NOT round.)

Answer 1

Plugging in the values of x to find the actual values of y and their errors:
x = 1;
y = 5.2
error = 5.2 - 3 = 2.2
error² = 4.84

x = 2;
y = 7.2
error = 7.2 - 4 = 3.2
error² = 10.24

x = 4
y = 11.8
error = 11.8 - 8 = 3.8
error² = 14.44

Sum of squared errors = 4.84 + 10.24 + 14.44
= 29.52