The equation ý = 17.4 + 0.5x is called the least- squares regression line because it O is least able to make accurate predictions for the data. O makes the strongest association between weight and height. O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. O 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-
The equation ŷ = 17.4 + 0.5x is called the least-
squares regression line because it
year period. The results are displayed in the
scatterplot.
O is least able to make accurate predictions for the
data.
A Child's Weight and Height
O makes the strongest association between weight
and height.
40
O minimizes the sum of the squared distances from
the actual y-value to the predicted y-value.
36.
O maximizes the sum of the squared distances from
the actual y-value to the predicted y-value.
24
20
6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42
Weight (Pounds)
Mark this and return
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Subrmit
rch
65°F
DELL
F2
F3
F4
E5
F6
F7
F8
F9
F10
F11
PriScr
F12
Insert
%23
%24
&
3.
4
6
8
10
W
T
Y
6
D
F G H
J
K
Height (Inches)
Transcribed Image Text:The weight (in pounds) and height (in inches) for a child were measured every few months over a two- The equation ŷ = 17.4 + 0.5x is called the least- squares regression line because it year period. The results are displayed in the scatterplot. O is least able to make accurate predictions for the data. A Child's Weight and Height O makes the strongest association between weight and height. 40 O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. 36. O maximizes the sum of the squared distances from the actual y-value to the predicted y-value. 24 20 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 Weight (Pounds) Mark this and return Save and Exit Next Subrmit rch 65°F DELL F2 F3 F4 E5 F6 F7 F8 F9 F10 F11 PriScr F12 Insert %23 %24 & 3. 4 6 8 10 W T Y 6 D F G H J K Height (Inches)
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