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 XX xy 4.6 7.1 9.5 1 4 7.1 19.0 34.5 1 3 4. 3 11.5 13.7 4 16 54.8 25 79.5 111.6 146.3 15.9 18.6 20.9 7 8 9. 10 6. 36 49 64 7 23.5 25.4 188.0 228.6 8 9. 81 n - (number of samples) (x)

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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
XX
ху
1
4.6
7.1
19.0
34.5
7.1
1
3.
4.
9.5
11.5
4
9.
54.8
79.5
111.6
146.3
188.0
228.6
4
13.7
15.9
16
25
36
49
64
7.
18.6
20.9
23.5
25.4
8
9.
10
81
(number of samples)
6789
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 XX ху 1 4.6 7.1 19.0 34.5 7.1 1 3. 4. 9.5 11.5 4 9. 54.8 79.5 111.6 146.3 188.0 228.6 4 13.7 15.9 16 25 36 49 64 7. 18.6 20.9 23.5 25.4 8 9. 10 81 (number of samples) 6789
xy
The slope (m) is:
ху — ху
m =D
x2 – x2
The y-intercept is:
x2y xxy
b =
x2-82
The equation of the best line for the data is:
y = mx + b =
x +
Transcribed Image Text:xy The slope (m) is: ху — ху m =D x2 – x2 The y-intercept is: x2y xxy b = x2-82 The equation of the best line for the data is: y = mx + b = x +
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