Solution Found!
A least-squares line is fit to a set of points. If the
Chapter 7, Problem 3E(choose chapter or problem)
A least-squares line is fit to a set of points. If the total sum of squares is \(\sum\left(y_{i}-\bar{y}\right)^{2}=9615\), and the error sum of squares is \(\sum\left(y_{i}-\hat{y}_{i}\right)^{2}=1450\), compute the coefficient of determination \(r^{2}\).
Equation Transcription:
Text Transcription:
Sigma(y_i-bar{y})^2=9615
Sigma(y_i-bary}_i)^2=1450
r^2
Questions & Answers
QUESTION:
A least-squares line is fit to a set of points. If the total sum of squares is \(\sum\left(y_{i}-\bar{y}\right)^{2}=9615\), and the error sum of squares is \(\sum\left(y_{i}-\hat{y}_{i}\right)^{2}=1450\), compute the coefficient of determination \(r^{2}\).
Equation Transcription:
Text Transcription:
Sigma(y_i-bar{y})^2=9615
Sigma(y_i-bary}_i)^2=1450
r^2
ANSWER:
Step 1 of 2
Given that,
The total sum of squares is and the error sum of squares is .