Find the Formula That Gives the Least Squares Error for the Points

question 113

Multiple Choice

Find the formula that gives the least squares error for the points (-1, 5) , (2, 2) , (5, -1) .

• A) \(( A - B + 5 ) ^ { 2 }\) + \(( 2 A + B - 2 ) ^ { 2 }\) + \(( A + B + 1 ) ^ { 2 }\)
• B) \(( - 2 A + B - 5 ) ^ { 2 }\) + \(( A + B - 2 ) ^ { 2 }\) + \(( 5 \mathrm {~A} + \mathrm { B } + 1 ) ^ { 2 }\)
• C) \(( - A + B - 5 ) ^ { 2 }\) + \(( 2 A + B - 2 ) ^ { 2 }\) + \(( 5 \mathrm {~A} + \mathrm { B } + 1 ) ^ { 2 }\)
• D) \(( - A + B - 5 ) ^ { 2 }\) + \(( 2 A + B - 2 ) ^ { 2 }\) + \(( A + B + 5 ) ^ { 2 }\)

---

Definitions:

Service Quality

The degree to which a service meets the customer's expectations, often evaluated based on factors like responsiveness, reliability, and professionalism.

Cause and Effect Diagram

Also known as a fishbone diagram, it is a tool used to systematically list and analyze the potential causes of a specific problem or effect.

Pareto Chart

A bar graph that represents the frequency or impact of problems or causes in a process, helping to identify the most significant factors.

Grading Exam

The process of evaluating and assigning scores to students’ exams based on a predefined standard or criteria.