The 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. (a) Predict the weights and the typical size of the error for those predictions in each of the following case: A child who is 43 inches tall is predicted to weigh _____________ pounds, give or take _____________ pounds. A child who is 41.8 inches tall is predicted to weigh ____________ pounds, give or take _____________ pounds.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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The 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.
(a) Predict the weights and the typical size of the error for those predictions in
each of the following case:
A child who is 43 inches tall is predicted to weigh _____________ pounds, give or
take _____________ pounds.
A child who is 41.8 inches tall is predicted to weigh ____________ pounds, give or
take _____________ pounds.

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