Why do we want the sum of the residuals to be as close to zero as possible?

zero residual equals zero mean

Step-by-step explanation:

Let me start by saying, unless expressed algebraically, this question would need a deep logical assumptions to paint it clearly and that is why the difference between data points and regression line is called "an error" or a residual.

To answer you, we want the sum of the residuals to be as close to zero as possible because:

zero residual equals zero mean and infact, if this isn't so, the entire value for mean isn't justified.

Best way out is through algebraic justification.

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

the 3rd option is right

step-by-step explanation: