Try Magic Notes and save time.Try it free
Try Magic Notes and save timeCrush your year with the magic of personalized studying.Try it free
Question

# The data is below:$\begin{array}{r|rrrrr} x_i & 2 & 6 & 9 & 13 & 20 \\ \hline y_i & 7 & 18 & 9 & 26 & 23 \end{array}$The estimated regression equation for these data is $\hat{y}=7.6+.9 x$. What percentage of the total sum of squares can be accounted for by the estimated regression equation? What is the value of the sample correlation coefficient?

Solution

Verified
Step 1
1 of 9

For this exercise, we are to determine the coefficient of determination and the sample correlation coefficient for the given table below

$\text{\small{Table 1. Given data}}.$

$\def\arraystretch{1.5} \begin{array}{c:ccccc} x_i & 2 & 6 & 9 & 13 & 20 \\ \hline y_i & 7 & 18 & 9 & 26 & 23 \\ \end{array}$

with an estimated regression equation:

$\hat y = 7.6 + 0.9x$

What is the definition of the coefficient of determination $r^2$?

## Recommended textbook solutions

#### Business Statistics: Communicating with Numbers

2nd EditionISBN: 9780078020551Alison Kelly, Sanjiv Jaggia
1,238 solutions

#### Basic Business Statistics: Concepts and Applications

12th EditionISBN: 9780132168380 (15 more)David M. Levine, Mark L. Berenson, Timothy C. Krehbiel
1,266 solutions