Suppose that the following table shows the annual sales, in millions of dollars, for Advanced Auto Parts and Auto Zone for 2000 through 2007. Findthe least squares quadratic model for Advanced Auto Parts. Lett represents the year, with = 0 corresponding to 2000. Round all coefficients to twodecimal places.Year20002001200220032004200520062007Advanced Auto Parts27441789112510371531284731986250OS=257.082-1356.11+2812.7S=263.31²-1379.73t+2824.58OS=259.31²-1396.29t+2767.18OS=257.08² +1356.11+28127OS=259.31²+1396.29t+2767.18

Answered: Image /qna-images/answer/f57e692c-6c53-4352-a2fb-99b04d79699f.jpg

Answered: Suppose that the following table shows…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The quadratic function N(x) = 3x² + 2x + 1 represents the number of households N(x), in thousands, in a certain city that have a computer x years after 1990. According to the formula, in what year were there 57 thousand households with computers in this city? O A. 1992 OB. 1995 O C. 1993 O D. 1994 C
What is the coefficient of x² term in the least-squares parabola prepared for the data in the table below? X y 1 2 2 6 3 7 4 8 5 10 6 11 7 11 8 10 9 9
Set up an augmentation matrix that would help to find the interpolating polynomial of degree at most 3 that passes through the points (0, 4), (1, 10), (–2,3), and (3, – 14). You DO NOT need to find the actual polynomial.
The owner of a rapidly expanding business finds that for the first five months of the year the sales (in thousands) are $4.0, $4.4, $5.2, $6.4, and $8.0. The owner plots these figures on a graph and conjectures that for the rest of the year, the sales curve can be approximated by a quadratic polynomial. Find the least squares quadratic polynomial fit to the sales curve, and use it to project the sales for the twelfth month of the year. Do not use computer.
A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t. What is the maximum height of the penny above the ground?

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