Question

fill in the blanks.
total deviation = ____ deviation + ____ deviation

choose the correct answer below:
○ a. total deviation = positively associated deviation + negatively associated deviation
○ b. total deviation = unexplained deviation + explained deviation
○ c. total deviation = response deviation + explanatory deviation
○ d. total deviation = predicted deviation + observed deviation

Explanation:

Step1: Recall total deviation components

In statistical regression, total deviation (the difference between observed and mean values) splits into two parts: the deviation explained by the model, and the leftover, unexplained deviation.

Step2: Match to the options

This matches the breakdown in option B: total deviation is the sum of unexplained deviation and explained deviation.

Total deviation in regression analysis is split into the deviation that can be accounted for by the model (explained deviation) and the deviation that cannot be accounted for (unexplained deviation). This matches option B.

Answer:

B. Total deviation = unexplained deviation + explained deviation