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:

Verbal Tool

Language used as a means to communicate, express ideas, or convey messages effectively.

Lev Vygotsky

A Russian psychologist known for his work on cognitive development, emphasizing the role of social interaction and cultural tools in learning.

Concrete Operational

A stage in Piaget's theory of cognitive development during which children gain the ability to think logically about concrete events.

Counted

The act of determining the total number of items or individuals in a set or group.