+ I/VMI* 00442The table gives the wind chill temperature when the outside temperature is- 5°FWindWindWind(mph) Chill ("F) (mph) Chill (°F)- 16- 22- 26- 29- 31- 33puid35- 34a. Use x as the wind speed and create aquadratic model for the data.b. At what wind speed does the modelestimate that the wind chill will be- 34°F?c. Is the model found in part (a) valid forx> 63? Explain.-36401545-37- 3809- 392555- 4009a. Determine the quadratic function that best fits the given data.(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)GuidententsuccessEnter your answer in the answer box and then click Check Answer.SuccessCheck Answerparts2.remainingClear Alledia Libraryase OptionsOKType here to search画回PrtScDeleteF11F12F8sup反F4E-3&%235.P.GB.X ZAltCtrlHC

Answered: 三525 石8 The table gives the wind chill…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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+ I/
V
MI
* 00
44
2
The table gives the wind chill temperature when the outside temperature is
- 5°F
Wind
Wind
Wind
(mph) Chill ("F) (mph) Chill (°F)
- 16
- 22
- 26
- 29
- 31
- 33
puid
35
- 34
a. Use x as the wind speed and create a
quadratic model for the data.
b. At what wind speed does the model
estimate that the wind chill will be
- 34°F?
c. Is the model found in part (a) valid for
x> 63? Explain.
-36
40
15
45
-37
- 38
09
- 39
25
55
- 40
09
a. Determine the quadratic function that best fits the given data.
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed.)
Guide
ntents
uccess
Enter your answer in the answer box and then click Check Answer.
Success
Check Answer
parts
2.
remaining
Clear All
edia Library
ase Options
OK
Type here to search
画回
PrtSc
Delete
F11
F12
F8
sup
反
F4
E-3
&
%23
5.
P.
G
B.
X Z
Alt
Ctrl
HC

Expert Solution

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$T h e m o d e l l i n g o f q u a d r a t i c e q u a t i o n : Q u a d r a t i c R e g r e s s i o n . L e t s a y x = w i n d s p e e d (m p h) y = t e m p e r a t u r e o b s e r v e d (° F) T = t e m p e r a t u r e c a l c u l a t e d (° F) T = a x^{2} + b x + c W h e r e [\begin{matrix} a \\ b \\ c \end{matrix}] = {[\begin{matrix} \sum_{}^{} x_{i}^{4} & \sum_{}^{} x_{i}^{3} & \sum_{}^{} x_{i}^{2} \\ \sum_{}^{} x_{i}^{3} & \sum_{}^{} x_{i}^{2} & \sum_{}^{} x_{i}^{1} \\ \sum_{}^{} x_{i}^{2} & \sum_{}^{} x_{i}^{1} & n \end{matrix}]}^{- 1} [\begin{matrix} \sum_{}^{} x_{i}^{2} y_{i} \\ \sum_{}^{} x_{i}^{1} y_{i} \\ \sum_{}^{} y_{i} \end{matrix}] R^{2} = 1 - \frac{S S E}{S S T}, w h e r e S S E = \sum_{}^{} {(y_{i} - T_{i})}^{2} & S S T = \sum_{}^{} {(y_{i} - \bar{y})}^{2} R^{2} v a r i e s f r o m 0 t o 1 . T h e c l o s e r t h e R^{2} v a l u e t o 1, t h e b e t t e r i s t h e m o d e l f i t t i n g t o o b s e r v e d d a t a .$

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