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X Data Table Full data set Head Head Height, x circumference, Height, x circumference, (inches) y (inches) (inches) y (inches) 27.75 17.5 27 17.3 24.5

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X Data Table Full data set Head Head Height, x circumference, Height, x circumference, (inches) y (inches) (inches) y (inches) 27.75 17.5 27 17.3 24.5 17.1 27 17.5 25.5 17.1 26.75 17.3 25.5 17.3 26.75 17.5 25 16.9 27.5 17.5 27.75 17.6 Print DoneA 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 (e). (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. The least-squares regression line is y = |x + . (Round to four decimal places as needed.) (b) Use the regression equation to predict the head circumference of a child who is 25 inches tall. The predicted value of the head circumference of a child who is 25 inches tall is inches. (Round to two decimal places as needed.) (c) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? The residual based on the observed head circumference of the 25-inch-tall child is inches. (Round to two decimal places as needed.) (d) Draw the least-squares regression line on the scatter diagram of the data and label the residual from part (c). Choose the correct graph below. O A. O B. O C. 17.8- 17.81 17.8- Head circumference (in) 17.3- Head circumference (in) 17.3- Head circumference (in) 17.3- Residual Residual Residual 16.84 16.84 16.8- 24 26 28 24 26 28 24 26 28 Height (in) Height (in) Height (in)Is the head circumference of this child above average or below average? O Below average O Above average (e) Notice that two children are 26.75 inches tall. One has a head circumference of 17.3 inches; the other has a head circumference of 17.5 inches. How can this be? O A. For children who are 26.75 inches tall, head circumference varies. O B. It is a mistake among the measurements. O C. It is not appropriate to use this model to predict the value of the head circumference for children who are 26.75 inches tall because 26.75 inches is outside the scope of the model

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