The following table of values gives a company's annual profits in millions of dollars. Rescale the data so that the year 2005 corresponds to Year 2005 2006 2007 2008 2009 2010 Profits (in millions of dollars) 51.8 63.4 66.3 65.8 62.1 63.8 Find the quadratic regression model for this data. a) y = -0.4 x² +2.06x + 62.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 1
The following table of values gives a company's annual profits in millions of dollars. Rescale the data so that the year 2005 corresponds to x = 0.
Year
Profits (in millions of dollars)
Find the quadratic regression model for this data.
a) Oy = -0.4x² +2.06x+62.5
b) y = -1.4426x² +9.2207 x + 53.1870
c)
y = -1.3554 x² +11.0761 x + 43.99
d) Oy
-1.3554 x² +8.3654x + 53.7107
e) y = -2.4286 x² + 12.0143 x + 52.4229
f) None of the above
2005 2006 2007 2008 2009
51.8 63.4 66.3 65.8 62.1
2010
63.8
Review Later
Transcribed Image Text:Question 1 The following table of values gives a company's annual profits in millions of dollars. Rescale the data so that the year 2005 corresponds to x = 0. Year Profits (in millions of dollars) Find the quadratic regression model for this data. a) Oy = -0.4x² +2.06x+62.5 b) y = -1.4426x² +9.2207 x + 53.1870 c) y = -1.3554 x² +11.0761 x + 43.99 d) Oy -1.3554 x² +8.3654x + 53.7107 e) y = -2.4286 x² + 12.0143 x + 52.4229 f) None of the above 2005 2006 2007 2008 2009 51.8 63.4 66.3 65.8 62.1 2010 63.8 Review Later
Expert Solution
Step 1

Make a table for the given data as follows

Year Profit in millions
0 51.8
1 63.4
2 66.3
3 65.8
4 62.1
5 63.8

The quadratic regression is given by the formula y=Ax2+Bx+C

 

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