A least-squares line is fit to a set of points. If the

Chapter 7, Problem 3E

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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

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 .

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