Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.909 and the least squares regression line is y= 0.184x + 12.372. 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 25.25 17.0 26.50 17.2 C 25.00 17.0 27.25 17.5 26.75 17.2 25.75 17.2 27.00 17.3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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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 0.909 and the least squares regression line is y = 0.184x + 12.372. 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
25.25
17.0
26.50
17.2
25.00
17.0
27.25
17.5
26.75
17.2
25.75
17.2
27.00
17.3
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 0.909 and the least squares regression line is y = 0.184x + 12.372. 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 25.25 17.0 26.50 17.2 25.00 17.0 27.25 17.5 26.75 17.2 25.75 17.2 27.00 17.3
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what ​% of the variation is ( height, or head circumference) explained by the​ least-squares regression model.
​(Round to one decimal place as​ needed.)
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