Select all correct statements of residuals for a simple linear regression model.Question 3AnswerSelect one or more:a.The sum of squared residuals is a minimum.b.The sum of the weighted residuals is zero when the residual in the th trial is weighted by the th response .c.Residuals have constant variance.d.Residuals are correlated.

The correct statements are:

a. The sum of squared residuals is a minimum. This is true because in simple linear regression, the line of best fit is calculated by minimizing the sum of the squares of the residuals.

c. Residuals have constant variance. This is an assumption of the simple linear regression model, also known as homoscedasticity.

The other statements are incorrect:

b. The sum of the weighted residuals is zero when the residual in the th trial is weighted by the th response. This is not necessarily true. The sum of the residuals is zero in a simple linear regression model, but this statement about weighted residuals is not generally correct.

d. Residuals are correlated. This is not true. In a simple linear regression model, the residuals are assumed to be independent of each other, i.e., they are not correlated. This is known as the assumption of independence.