Questions: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. Complete parts a through e below. Height (inches) Head Circumference (inches) 27 17.3 25.75 16.9 26.75 17.2 24.5 17 28.25 17.5 23.5 17.2 22.25 17.1 29.25 17.4 ordered pairs for height = 23, 28, and 30 that fall on the trendline. Provide the ordered pairs in the form (height, head circumference). The three ordered pairs are (23,17.1),(28,17.3),(30,17.5). (Type an ordered pair. Use a comma to separate answers as needed. Use integers or decimals for any numbers in the expression. Round to one decimal place as needed.) d. Sketch a graph of the trendline equation on the scatterplot. Choose the correct graph below. A. B. C. D. e. Predict a head circumference value for height = 26 in. The predicted head circumference value is in. (Type an integer or decimal rounded to one decimal place as needed.)

A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. Complete parts a through e below.

Height (inches)  Head Circumference (inches)  
27  17.3  
25.75  16.9  
26.75  17.2  
24.5  17  
28.25  17.5  
23.5  17.2  
22.25  17.1  
29.25  17.4  

ordered pairs for height = 23, 28, and 30 that fall on the trendline. Provide the ordered pairs in the form (height, head circumference).

The three ordered pairs are (23,17.1),(28,17.3),(30,17.5).
(Type an ordered pair. Use a comma to separate answers as needed. Use integers or decimals for any numbers in the expression. Round to one decimal place as needed.)
d. Sketch a graph of the trendline equation on the scatterplot. Choose the correct graph below.
A.
B.
C.
D.
e. Predict a head circumference value for height = 26 in.

The predicted head circumference value is  in.
(Type an integer or decimal rounded to one decimal place as needed.)
Transcript text: A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. Complete parts a through e below. \begin{tabular}{|c|c|} \hline Height (inches) & Head Circumference (inches) \\ \hline 27 & 17.3 \\ \hline 25.75 & 16.9 \\ \hline 26.75 & 17.2 \\ \hline 24.5 & 17 \\ \hline 28.25 & 17.5 \\ \hline 23.5 & 17.2 \\ \hline 22.25 & 17.1 \\ \hline 29.25 & 17.4 \\ \hline \end{tabular} ordered pairs for height = 23, 28, and 30 that fall on the trendline. Provide the ordered pairs in the form (height, head circumference). The three ordered pairs are $(23,17.1),(28,17.3),(30,17.5)$. (Type an ordered pair. Use a comma to separate answers as needed. Use integers or decimals for any numbers in the expression. Round to one decimal place as needed.) d. Sketch a graph of the trendline equation on the scatterplot. Choose the correct graph below. A. B. C. D. e. Predict a head circumference value for height $=26$ in. The predicted head circumference value is $\square$ in. (Type an integer or decimal rounded to one decimal place as needed.)
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Solution

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Solution Steps

Step 1: Identifying the correct graph

Graph B correctly represents the trendline. The line has a positive slope and passes through or close to the majority of the plotted points from the given data.

Step 2: Finding the ordered pairs

The question states the three ordered pairs are (23, 17.1), (28, 17.3), and (30, 17.5). These points lie on the trendline in Graph B.

Step 3: Predicting head circumference for height = 26 in.

Observe where the trendline in Graph B crosses the vertical line representing a height of 26 inches. The corresponding value on the y-axis (head circumference) appears to be approximately 17.2 inches.

Final Answer: The predicted head circumference for a height of 26 inches is 17.2 inches.

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