X 1 2 3 y 1 X 1 2 5 7 Line A: y = -1 + 4x ŷ y 1 5 Complete the table for x, y, y, e, and e² for Line B. e (Simplify your answers.) Line B: y=-2 + 3x y 2 e 2

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 43PS
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Question
Determine which line fits the set of data points​ better, according to the​ least-squares criterion.
 
 
A.
Line
B
is the better fit because it has the smaller sum of squared errors.
 
B.
Line B is the better fit because it has the smaller sum of errors.
 
C.
Line
A
is the better fit because it has the smaller sum of squared errors.
 
D.
Line A is the better fit because it has the smaller sum of errors.
Given to the right are two linear equations and a set of data points.
a. Graph the linear equations and data points.
b. Complete tables for x, y, y, e, and e².
c. Determine which line fits the set of data points better, according to the
least-squares criterion.
104
·
Y
X
104
a. Graph the linear equations and data points. Note that Line A is dashed red and Line B is solid blue.
O A.
O B.
O C.
10
TOG
C
2
b. Complete the table for x, y, y, e, and e² for Line A.
X
y
[
1
1
2
5
3
7
Line A: y = -1 + 4x
Line B: y=-2 + 3x
2
Transcribed Image Text:Given to the right are two linear equations and a set of data points. a. Graph the linear equations and data points. b. Complete tables for x, y, y, e, and e². c. Determine which line fits the set of data points better, according to the least-squares criterion. 104 · Y X 104 a. Graph the linear equations and data points. Note that Line A is dashed red and Line B is solid blue. O A. O B. O C. 10 TOG C 2 b. Complete the table for x, y, y, e, and e² for Line A. X y [ 1 1 2 5 3 7 Line A: y = -1 + 4x Line B: y=-2 + 3x 2
2
b. Complete the table for x, y, y, e, and e² for Line A.
X
1
2
3
X
1
y
1
2
3
5
7
Line A: y = -1 + 4x
y
Complete the table for x, y, y, e, and e² for Line B.
Line B: y = -2+ 3x
y
y
1
5
7
e
(Simplify your answers.)
2
e
2
Transcribed Image Text:2 b. Complete the table for x, y, y, e, and e² for Line A. X 1 2 3 X 1 y 1 2 3 5 7 Line A: y = -1 + 4x y Complete the table for x, y, y, e, and e² for Line B. Line B: y = -2+ 3x y y 1 5 7 e (Simplify your answers.) 2 e 2
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