A Quadratic Regression Model Is Fit to a Set of Sample

question 45

Multiple Choice

A quadratic regression model is fit to a set of sample data consisting of 6 pairs of data. Given that the sum of squares of residuals is $29.73$ and that the $y$ -values are $11,14,19,22,26,27$ , find
$R ^ { 2 } = 1 - \frac { ( y - \hat { y } ) ^ { 2 } } { ( y - \bar { y } ) ^ { 2 } } .$

• A) \(0.844\)
• B) \(0.144\)
• C) \(0.88\)
• D) \(0.856\)

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Definitions:

Indifferent

Having no particular interest or sympathy; unconcerned or showing a lack of preference between two or more possibilities.

External Events

Occurrences outside of an individual's or organization's control that can have significant impacts on their actions, decisions, or performance.

Stoic

Pertaining to Stoicism, an ancient Greek philosophy that teaches virtue, wisdom, and endurance as the means to a tranquil and virtuous life.

Stoicism

Stoicism is an ancient philosophy that teaches the development of self-control and fortitude as a means of overcoming destructive emotions.