s the following statement true or false If false explain bri

s the following statement true or false? If false, explain briefly. Some of the residuals from a least squares linear model will be positive and some will be negative. Choose the correct answer below. The statement is false because the residuals are all positive. The statement is false because there are some models where the residuals are all positive. The statement is false because there are some models where the residuals are all negative. O D. The statement is true.

Solution

The given question deals with the study of the least square linear model under study.

The least square linear model is one in which the sum of the residuals is zero obtained from the normal equations used to solve by least square method, thus meaning that the residuals has to be both negetive and positive in the model to give a avlue of zero.Hence, the correct option is,

D. The statement is true.