A pediatrician wants to determine the relation that exists between a​ child's height,​ x, and head​ circumference, y. She randomly selects 11 children from her​ practice, measures their heights and head​ circumferences, and obtains the accompanying data. Height (inches), x    Head Circumference (inches), y 28                                             17.6 24.75                                        17.2 25.75                                          17.2 26                                             17.6 25                                                17.1 27.75                                        17.7 26.75                                                 17.4 27                                        17.6 26.75                                       17.4 26.75                                              17.6 27.5                                                     17.6

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 87E
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A pediatrician wants to determine the relation that exists between a​ child's height,​ x, and head​ circumference, y. She randomly selects 11 children from her​ practice, measures their heights and head​ circumferences, and obtains the accompanying data.

Height (inches), x    Head Circumference (inches), y
28                                             17.6
24.75                                        17.2
25.75                                          17.2
26                                             17.6
25                                                17.1
27.75                                        17.7
26.75                                                 17.4
27                                        17.6
26.75                                       17.4
26.75                                              17.6
27.5                                                     17.6

 

1. ŷ= ___x+ _____

2. Compute the linear correlation coefficient between the height and head circumference of a child. 
r = ____

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