The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are displayed in the scatterplot.   The equation ŷ = 17.4 + 0.5x is called the least-squares regression line because it is least able to make accurate predictions for the data. makes the strongest association between weight and height. minimizes the sum of the squared distances from the actual y-value to the predicted y-value. maximizes the sum of the squared distances from the actual y-value to the predicted y-value.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are displayed in the scatterplot.

 

The equation ŷ = 17.4 + 0.5x is called the least-squares regression line because it

is least able to make accurate predictions for the data.
makes the strongest association between weight and height.
minimizes the sum of the squared distances from the actual y-value to the predicted y-value.
maximizes the sum of the squared distances from the actual y-value to the predicted y-value.
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