Which of the Following Statements Are Not True Regarding the Normal

question 49

Multiple Choice

Which of the following statements are not true regarding the normal equations $n b _ { 0 } + \left( \sum x _ { i } \right) b _ { 1 } = \sum y _ { i } \text { and } \left( \sum x _ { i } \right) b _ { 0 } + \left( \sum x _ { i } ^ { 2 } \right) b _ { 1 } = \sum x _ { i } y _ { i }$ ?

• A) The normal equations are linear in the unknowns \(b _ { 0 } \text { and } b _ { 1 }\)
• )
• B) The least squares estimates are always the unique solution to the system of normal equations.
• C) Provided that at least two of the \(x _ {i }\)
• Values are different, the least squares estimates are the unique solution to the system of normal equations.
• D) The quantity \(\sum y _ { i } ^ { 2 }\)
• Is not needed to solve the system of normal equations.
• E) All of the above statements are true.

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