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...


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<br>accompanying data. Complete parts (a) through (g) below.<br>E Click the icon to view the children's data.<br>Question Help<br>(a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.<br>i Data Table<br>ý=x+(D<br>(Round the slope to three decimal places and round the constant to one decimal place as needed.)<br>(b) Interpret the slope and y-intercept, if appropriate.<br>Height (inches), x Head Circumference (inches), y a<br>28<br>17.6<br>First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.<br>24.25<br>17.2<br>25.5<br>17.2<br>O A. For a head circumference of 0 inches, the height is predicted to be<br>(Round to three decimal places as needed.)<br>in.<br>26.25<br>17.6<br>24.5<br>17.1<br>27.75<br>17.7<br>O B. For every inch increase in height, the head circumference increases by<br>(Round to three decimal places as needed.)<br>in., on average.<br>26.25<br>17.4<br>17.6<br>27<br>26.75<br>17.4<br>O C. For a height of 0 inches, the head circumference is predicted to be in.<br>(Round to three decimal places as needed.)<br>26.75<br>176<br>27.75<br>17.6<br>O D. For everv inch increase in head circumference, the heiaht increases bv in. on averaoe.<br>Print<br>Done<br>Click to select your answer(s).<br>acer<br>&<br>esc<br>%<br>$<br>6.<br>@<br>e<br>W<br>k<br># M<br>

Extracted text: 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. Complete parts (a) through (g) below. E Click the icon to view the children's data. Question Help (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. i Data Table ý=x+(D (Round the slope to three decimal places and round the constant to one decimal place as needed.) (b) Interpret the slope and y-intercept, if appropriate. Height (inches), x Head Circumference (inches), y a 28 17.6 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 24.25 17.2 25.5 17.2 O A. For a head circumference of 0 inches, the height is predicted to be (Round to three decimal places as needed.) in. 26.25 17.6 24.5 17.1 27.75 17.7 O B. For every inch increase in height, the head circumference increases by (Round to three decimal places as needed.) in., on average. 26.25 17.4 17.6 27 26.75 17.4 O C. For a height of 0 inches, the head circumference is predicted to be in. (Round to three decimal places as needed.) 26.75 176 27.75 17.6 O D. For everv inch increase in head circumference, the heiaht increases bv in. on averaoe. Print Done Click to select your answer(s). acer & esc % $ 6. @ e W k # M
Jun 09, 2022
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