Solution Found!
Solved: A least-squares line is fit to a set of points. If
Chapter 7, Problem 4E(choose chapter or problem)
A least-squares line is fit to a set of points. If the total sum of squares is \(\sum\left(y_{i}-\bar{y}\right)^{2}=181.2\), and the error sum of squares is \(\sum\left(y_{i}-\hat{y}_{i}\right)^{2}=33.9\), compute the coefficient of determination \(r^{2}\).
Equation Transcription:
Text Transcription:
Sigma(y_i-bar{y})^2=181.2
Sigma(y_i-bary}_i)^2=33.9
r^2
Questions & Answers
QUESTION:
A least-squares line is fit to a set of points. If the total sum of squares is \(\sum\left(y_{i}-\bar{y}\right)^{2}=181.2\), and the error sum of squares is \(\sum\left(y_{i}-\hat{y}_{i}\right)^{2}=33.9\), compute the coefficient of determination \(r^{2}\).
Equation Transcription:
Text Transcription:
Sigma(y_i-bar{y})^2=181.2
Sigma(y_i-bary}_i)^2=33.9
r^2
ANSWER:
Step 1 of 2
Given that
The total sum of squares is and the error sum of squares is .