Question

Determine the quadratic regression for the data. {(1, 5), (3, 4), (4, 1), (5, 2), (7,...

Determine the quadratic regression for the data.

{(1, 5), (3, 4), (4, 1), (5, 2), (7, 4)}1, 5, 3, 4, 4, 1, 5, 2, 7, 4

Explain how you got your answers. Round to the nearest hundredth.

Math   Algebra   
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Homework Answers

Answer #1

Let the equation of the model be : y = ax2+bx+c.

Then,

Therefore, the normal equations are :

a+b+c =

a+b+c =

a+b+c =

COMPUTATION TABLE :

x y x2 x3 x4 xy x2y
1 5 1 1 1 5 5
3 4 9 27 81 12 36
4 1 16 64 256 4 16
5 2 25 125 625 10 50
7 4 49 343 2401 28 196
20 16 100 560 3364 59 303

Then from the above equations are :

100a+20b+c = 16

560a+100b+20c = 59

3364a+560b+100c = 303

Solving we get, a = -0.16, b = 1.64, c = -0.76

Therefore, the quadratic regression is : y = -0.16x2+1.64x-0.76 .

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