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Question
ure https//assessment.casa.uh.edu/Assessment/CQuiz.aspxrid 39751800-809A-TCE-ASA AOrSE U ot press Submit until all questions are colored green and you have double checked your work. $41.2 million o $38.1 nillion uestion 10 The following table of values gives a company's annual profits in millions of dollars, Rescale the data so that the year 2003 corresponds to x o. Year 2003 2004 2005 2006 2007 2008 Protits (in millions of dollars) 31.3 327 31.8-33.7 35.9 36.1 Find the quadratie regressiou model for thrs dat a) y=0.1143x2 +0.2143 x +31.11 b) V 0.1143 044294/31 4256 0.085 15229 31.2066 dy 0.3143 2 0.23731.6686 e) y 0.1786 2,40,3757 32.2171 Question 11Explanation / Answer
Solution:- option b) y = 0.1143x2 + 0.4429x + 31.4286
Formula:
Quadratic Regression Equation(y) = a + b x + c x^2
c = { [ x2 y * xx ] - [ xy * xx2 ] } / { [ xx * x2x 2] - [ xx2 ]2 }
b = { [ xy * x2x2 ] - [ x2y * xx2 ] } / { [ xx * x2x 2] - [ xx2 ]2 }
a = [ y / n ] - { b * [ x / n ] } - { a * [ x 2 / n ] }
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