Question

The regression line is determined by finding the minimum value of Total Squared Error. Which of following equations represents Total Squared Error?

a. Σ(X-Y)^2
b. Σ(X- ŷ )
c. Σ(X-ŷ )^2
d. r^2Σ(Y- ŷ )^2

Answer 1

`\sum(y-y')^2`

Explanation:

We are given that the regression line is determined by finding the minimum value of Total squared error.

We have to find the equation which represents total squared error.

Let y be the original value and y' be the new value of y

We will find the error by finding the difference between two values of y

Difference=y-y'

Therefore, error=y-y'

Now,

Total square error=
`\sum(y-y')^2`

Therefore, the equation which represents total squared error is given by

`\sum(y-y')^2`