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) $0.856$

Question

Quizplus · Accepted Answer

The coefficient of determination is a measure of how well a regression model fits a set of data. It is calculated as the square of the correlation coefficient, which is a measure of the strength of the linear relationship between the independent and dependent variables. In this case, the coefficient of determination is $0.856$, which indicates that the regression model fits the data well.

A Quadratic Regression Model Is Fit to a Set of Sample