The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that: the least-squares regression line of y on x would have a slope of 0.8. about 80% of the time, age will accurately predict weight. height is generally 80% of a child’s weight. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.

Answered: The correlation between the height and…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

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The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that:

		the least-squares regression line of y on x would have a slope of 0.8.
		about 80% of the time, age will accurately predict weight.
		height is generally 80% of a child’s weight.
		the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.