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Height (inches), x Head Circumference (inches), y 27.75 17.7 24.25 17.2 25.5 17.2 25.75 17.6 24.5 17.1 28 17.8 26.5 17.5 27.25 17.7 26.75 17.5

Height (inches), x Head Circumference (inches), y 27.75 17.7 24.25 17.2 25.5 17.2 25.75 17.6 24.5 17.1 28 17.8 26.5 17.5 27.25 17.7 26.75 17.5

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 71E
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a head circ o the fact th Height (inches), x Head Circumference (inches), y used by me 27.75 17.7 24.25 17.2 bservations 25.5 17.2 ircumference 25.75 17.6 24.5 17.1 ession line to 28 17.8 26.5 17.5 child's height 27.25 17.7 e of the mode 26.75 17.5 26.75 17.6 27.75 17.7 el. ry to make the Done Print
Transcribed Image Text:a head circ o the fact th Height (inches), x Head Circumference (inches), y used by me 27.75 17.7 24.25 17.2 bservations 25.5 17.2 ircumference 25.75 17.6 24.5 17.1 ession line to 28 17.8 26.5 17.5 child's height 27.25 17.7 e of the mode 26.75 17.5 26.75 17.6 27.75 17.7 el. ry to make the Done Print
Question Help A pediatrician wants to determine the relation that exists between a child's height, x. and head circumference, v. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below. A Click the icon to view the children's data (1) Notice that two children are 26.75 inches tall One has a head circumference of 17.5 inches: the other has a head circumference of 17.6 inches. How can this be? O A. The only explanation is that the difference is due to the fact that one observation was of a boy, and one observation was of a girl. O B. The only explanation is that the difference was caused by measurement error. O C. There is no logical explanation for this-the two observations in question should have had the same head circumference. O D. For children with a height of 26.75 inches, head circumferences vary. (g) Would it be reasonable to use the least-squares regression line to predict the head circumference of a child who was 32 inches tall? Why? O A. Yes-the calculated model can be used for any child's height. O B. Yes-this height is possible and within the scope of the model. OC. No-this height is not possible. O D. No-this height is outside the scope of the model. O E. More information regarding the child is necessary to make the decision. Click to select your answer(s). P Type here to search 月 イ電 10-40 PM A d* 3/8/2021 Panasonic CF-54 TOUGHBOOK TU CDSS-4853 PASS AIP F11 F12 Pause Break F6 F7 F8 F10 PrtSc Scroll Lock F1 F2 F3 F4 F5 Num Esc bysks & * %23 Back space Home 1 A7 2 A2 3 7 0 8 8 W E T Y U P Page Tab 4 5 1 Up A S G H. K L Enter Page Down Caps Lock 2 日 田 C V N Shift --/ + II v %244
Transcribed Image Text:Question Help A pediatrician wants to determine the relation that exists between a child's height, x. and head circumference, v. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below. A Click the icon to view the children's data (1) Notice that two children are 26.75 inches tall One has a head circumference of 17.5 inches: the other has a head circumference of 17.6 inches. How can this be? O A. The only explanation is that the difference is due to the fact that one observation was of a boy, and one observation was of a girl. O B. The only explanation is that the difference was caused by measurement error. O C. There is no logical explanation for this-the two observations in question should have had the same head circumference. O D. For children with a height of 26.75 inches, head circumferences vary. (g) Would it be reasonable to use the least-squares regression line to predict the head circumference of a child who was 32 inches tall? Why? O A. Yes-the calculated model can be used for any child's height. O B. Yes-this height is possible and within the scope of the model. OC. No-this height is not possible. O D. No-this height is outside the scope of the model. O E. More information regarding the child is necessary to make the decision. Click to select your answer(s). P Type here to search 月 イ電 10-40 PM A d* 3/8/2021 Panasonic CF-54 TOUGHBOOK TU CDSS-4853 PASS AIP F11 F12 Pause Break F6 F7 F8 F10 PrtSc Scroll Lock F1 F2 F3 F4 F5 Num Esc bysks & * %23 Back space Home 1 A7 2 A2 3 7 0 8 8 W E T Y U P Page Tab 4 5 1 Up A S G H. K L Enter Page Down Caps Lock 2 日 田 C V N Shift --/ + II v %244
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