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. Click the icon to view the children's data. (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable. (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 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. in, on average OA For every inch increase in head circumference, the height increases by (Round to three decimal places as needed.) OB. For a height of 0 inches, the head circumference is predicted to be in (Round to three decimal places as needed.) OC. For a head circumference of 0 inches, the height is predicted to be in (Round to three decimal places as needed.) OD. For every inch increase in height, the head circumference increases by in, on average (Round to three decimal places as needed.) OE. It is not appropriate to interpret the slope Interpret the y-intercept, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For every inch increase in height, the head circumference increases by in, on average. (Round to one decimal place as needed.) OB. For a head circumference of 0 inches, the height is predicted to be in (Round to one decimal place as needed.) OC. For a height of 0 inches, the head circumference is predicted to be in (Round to one decimal place as needed) OD. For every inch increase in head circumference, the height increases by in, on average. (Round to one decimal place as needed.) OE. It is not appropriate to interpret the y-intercept (c) Use the regression equation to predict the head circumference of a child who is 24.75 inches tall Resour (Round to two decimal places as needed.) (d) Compute the residual based on the observed head circumference of the 24.75-inch-tall child in the table. Is the head circumference of this child above or below the value predicted by the regression model? the value predicted by the regression model. The residual for this observation is meaning that the head circumference of this child is (Round to two decimal places as needed.) (e) Draw the least-squares regression line on the scatter diagram of the data and label the residual from part (d). Choose the correct graph below. OA OB q 2 MEREACTIE 19 MIN 11 Resisak 111 ---------- S Q Q (f) Notice that two children are 28 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? OA. 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. OB. The only explanation is that the difference was caused by measurement error OC. For children with a height of 28 inches, head circumferences vary. OD. There is no logical explanation for this-the two observations in question should have had the same head circumference. Height (inches), x Head Circumference (inches), y 27.5 17.5 17.1 17.2 17.6 24.5 25.75 26 24.75 28.25 26.75 16.9 17.7 17.3 27 17.5 26 17.3 26 27.5 17.5 17.5 Please copy and paste data from text area below. Selected delimiter: Tab OC Residua Done Q Q L X OD HUOM