SOLUTION: Quartic Regression? Can you define this?

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Question 125260This question is from textbook
: Quartic Regression? Can you define this? This question is from textbook

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Quadratic+Regression is a process by which the equation of a parabola of "best+fit" is found for a set+of+data.
Example:
for a set of data
x | y
1 |-8
-5 | 0
2 | 5

The quadratic regression is:
y+=+a+x%5E2+%2B+b+x+%2Bc

where: a+=+2.0476190476190474
b+=+6.857142857142857
and c+=+-16.904761904761905
The error is: 0.0


for a set of data

x | y
1 |-8
-5 | 0
2 | 5
0 | 0

The quadratic regression is y+=+a+x%5E2+%2B+b+x+%2Bc
where: a+=+0.5554968287526427
b+=+1.9519027484143765
and c+=+-3.940274841437632

The error is: 13.509513742071881

Quadratic Regression on the TI-83
1. Press the Y= key and clear any equations.
2. Press the STAT key, use the arrow keys to select EDIT, and enter this data:
L1 |L2
1 |230
2 |310
3 |350
4 |360
5 |350
6 |300
7 |220


3. Press the STAT key, select CALC, and choose option number 5: QuadReg. This will bring you back to the home screen, with QuadReg showing. Type "L1, L2" by pressing 2nd and 1, then comma, then 2nd and 2. Type "Y1" by pressing VARS, move across to Y-VARS, choosing Function, and choosing option number 1. Your home screen should show:
QuadReg L1, L2, Y1
Now press ENTER. You will see something like results in examples above