he average height of a large group of children is 43 inches, and the SD is 1.2 inches. The average weight of these children is 40 pounds, and the SD is 2 pounds. The correlation between the two variables is r = 0.65. A scatter diagram is drawn, with height on the horizontal axis and weight on the vertical axis. The scatter diagram is football-shaped. The regression line for predicting weight based on height is drawn through the scatter. Q. Predict the weights and the typical size of the error for those predictions in each of the following case: Suppose a child’s height is at the 29th percentile of all heights. Using regression, our best guess is that the child’s weight (measured in pounds) is at the ___________________ percentile compared to all other children.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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he average height of a large group of children is 43 inches, and the SD is 1.2 inches. The average weight of these children is 40 pounds, and the SD is 2
pounds. The correlation between the two variables is r = 0.65.

A scatter diagram is drawn, with height on the horizontal axis and weight on the vertical axis. The scatter diagram is football-shaped. The regression line for
predicting weight based on height is drawn through the scatter.

Q. Predict the weights and the typical size of the error for those predictions in
each of the following case:

Suppose a child’s height is at the 29th percentile of all heights. Using regression, our best guess is that the child’s weight (measured in pounds) is at the
___________________ percentile compared to all other children.

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