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Finite Math, Looking for some assistance on this question. Thank youÂ
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Finite Math 1533 Project 1
The Method of Least Squares
The method of least squares refers to a technique that is often used in data analysis to
determine the "best" linear equation that fits a given collection of experimental data. It is a
technique used by statisticians, economists, business forecasters, and those who try to
interpret and analyze data.
The general least squares problem consists in finding the best straight line fit to a given set of
data points:
If we
let then the line of best fit to the data points is y = mx + b, where X is found by solving the system
of two equations in two unknowns generated by Simplify each side to determine this system of equations, and then solve for m and b. A business would like to determine the relationship between the amount of money spent on
advertising and its total weekly sales. Over a period of ten weeks, it gathers the following
data:
Amount Spent on
Weekly Sales
Advertising (in
Volume (in
thousands)
thousands)
x
y
1
5
0
0
1
5
1
5
1
6
7
1
1
5
4
2
1
6
8
5
2
7
1
5
Determine the line of best fit for this data. Predict the sales from $25,000 spent on
advertising. Sketch a graph of the data points and the line of best fit.
2
6
0
5
1
6
9
2
2
7
2
7
steventrainor posted a question · Jun 25, 2016 at 9:09pm
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Here,
A=
10 1 11
17
14
18 1
1
1
1 21
15
20 1
1
1 19
22 1
1 A^T=
10
1 11
1 X=
X
b
Y=
50
55
61
52
65
75
60
65
62
77
A^T.A.X=A^T.Y 17
1 14
1 18
1 21
1 15
1 20
1 19
1 22
1 => [ 2941 167
167 10...
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