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(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? A. В. 17.6- 28- 16.9+ 25 Height (in) 25+ 16.9 28 17.6 Height (in) С. D. 17.6- 28- 16.9+ 25 28 Circ. (in) 25- 16.9 Circ. (in) 17.6 (c) Compute the linear correlation coefficient between the height and head circumference of a child. r = (Round to three decimal places as needed.) Height (in) Circ. (in) Height (in) Circ. (in)

(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? A. В. 17.6- 28- 16.9+ 25 Height (in) 25+ 16.9 28 17.6 Height (in) С. D. 17.6- 28- 16.9+ 25 28 Circ. (in) 25- 16.9 Circ. (in) 17.6 (c) Compute the linear correlation coefficient between the height and head circumference of a child. r = (Round to three decimal places as needed.) Height (in) Circ. (in) Height (in) Circ. (in)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361
Transcribed Image Text:A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference, and obtains the data shown in the table. Complete parts (a) through (e) to the right. Height (in.) Head Circumference (in.) O 27 17.4 Data Table 25.5 17.2 26 17.2 25.75 17 Critical Values for Correlation Coefficient 27.75 17.5 26.5 17.2 26.25 17.2 3 0.997 26.75 17.4 4 0.950 0.878 Click here to see the Table of Critical Values for Correlation Coefficient. 0.811 7 0.754 0.707 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361
(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? O A. В. 17.6- 28- 16.9- 25 25+ 16.9 17.6 Height (in) 28 Height (in) D. 17.6- 28구 25- 16.9H 25 28 16.9 17.6 Circ. (in) Circ. (in) (c) Compute the linear correlation coefficient between the height and head circumference of a child. (Round to three decimal places as needed.) Height (in) Circ. (in) Height (in) Circ. (in)
Transcribed Image Text:(a) If the pediatrician wants to use height to predict head circumference, determine which variable is the explanatory variable and which is the response variable. The explanatory variable is head circumference and the response variable is height. The explanatory variable is height and the response variable is head circumference. (b) Draw a scatter diagram. Which of the following represents the data? O A. В. 17.6- 28- 16.9- 25 25+ 16.9 17.6 Height (in) 28 Height (in) D. 17.6- 28구 25- 16.9H 25 28 16.9 17.6 Circ. (in) Circ. (in) (c) Compute the linear correlation coefficient between the height and head circumference of a child. (Round to three decimal places as needed.) Height (in) Circ. (in) Height (in) Circ. (in)
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