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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 9SGR

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Suppose a doctor measures the height, \( x \), and head circumference, \( y \), of 8 children and obtains the data below. The correlation coefficient is 0.780 and the least squares regression line is \( \hat{y} = 0.169x + 12.739 \). Complete parts a and b below.

| Height, \( x \) | Head Circumference, \( y \) |
|-----------------|-----------------------------|
| 27.00 | 17.4 |
| 25.75 | 17.1 |
| 26.75 | 17.1 |
| 25.50 | 17.1 |
| 27.75 | 17.5 |
| 26.75 | 17.1 |
| 26.25 | 17.2 |
| 27.00 | 17.3 |

(a) Compute the coefficient of determination, \( R^2 \).

\[ R^2 = \square \% \] (Round to one decimal place as needed.)

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