6. Determine the equation, which will represent the best line for the following set of data, and solve for the unknown variables as listed below the table. Method of Least Squares 1 2 3 4 5 6 7 X 0 1 2 3 4 5 C y 4.6 7.1 9.5 11.5 13.7 15.9 10 C XX 0 1 4 9 16 25 ac xy 0 7.1 19.0 34.5 54.8 79.5 --

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
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Problem 26PQ: Convert 13.7 billion yeans (the age of the Universe) to the appropriate SI unit. Be sure to report...
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6. Determine the equation, which will represent the best line for the following set of data, and solve for
the unknown variables as listed below the table.
Method of Least Squares
1
2
3
4
5
6
7
8
9
10
X
0
1
2
3
4
5
6
7
8
9
y
4.6
7.1
9.5
11.5
13.7
15.9
18.6
20.9
23.5
25.4
XX
0
1
4
9
16
25
36
49
64
81
xy
0
7.1
19.0
34.5
54.8
79.5
111.6
146.3
188.0
228.6
Transcribed Image Text:6. Determine the equation, which will represent the best line for the following set of data, and solve for the unknown variables as listed below the table. Method of Least Squares 1 2 3 4 5 6 7 8 9 10 X 0 1 2 3 4 5 6 7 8 9 y 4.6 7.1 9.5 11.5 13.7 15.9 18.6 20.9 23.5 25.4 XX 0 1 4 9 16 25 36 49 64 81 xy 0 7.1 19.0 34.5 54.8 79.5 111.6 146.3 188.0 228.6
The slope (m) is:
ху-ху
2-2
x -x
The y-intercept is:
m =
=
2-
b = ху-хху =
2-2
x -x
||
||
The equation of the best line for the data is: y = mx + b =
x +
Transcribed Image Text:The slope (m) is: ху-ху 2-2 x -x The y-intercept is: m = = 2- b = ху-хху = 2-2 x -x || || The equation of the best line for the data is: y = mx + b = x +
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