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 regressi line is y=0.169x + 12.739. Complete parts a and b below. Height, x Head Circumference, y (a) Compute the coefficient of determination, R2. R² = =% (Round to one decimal place as needed.) 27.00 17.4 25.75 17.1 26.75 17.1 H 25.50 17.1 27.75 17.5 26.75 17.1 26.25 17.2 27.00 17.3

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
icon
Related questions
Question
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.)
Transcribed Image Text: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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill