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The following table s veral years (Source d Yoar

The following table s veral years (Source d Yoar

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Three decimal places
The following table shows the percent of adults diagnosed with diabetes in the U.S. for several years (Source dphha.mt.gov): Year 2005 2008 2010 2012 2015 2017 2018 Percent 7.3 8.3 8.7 9.7 10 10.5 11 a) Use x to indicate years after 2000, enter the data in your calculator or Excel, and obtain a QUADRATIC model that fits the data. The equation of the quadratic function is y=. ****** b) Use the model to predict the percent of adults in the U.S. that will be diagnosed with diabetes in 2020. ****** The model predicts % of the adults in the US will be diagnosed with diabetes in 2020.
Transcribed Image Text:The following table shows the percent of adults diagnosed with diabetes in the U.S. for several years (Source dphha.mt.gov): Year 2005 2008 2010 2012 2015 2017 2018 Percent 7.3 8.3 8.7 9.7 10 10.5 11 a) Use x to indicate years after 2000, enter the data in your calculator or Excel, and obtain a QUADRATIC model that fits the data. The equation of the quadratic function is y=. ****** b) Use the model to predict the percent of adults in the U.S. that will be diagnosed with diabetes in 2020. ****** The model predicts % of the adults in the US will be diagnosed with diabetes in 2020.
Expert Solution
Introduction
Finding the equation of the parabola that best fits a collection of data is the process of a 
quadratic regression. 
As a result, we get the following equation:
 
y=ax2+bx+c where a≠0
The least squares method is the most effective way to manually find this equation.
Finding the values of a, b, and c will enable us to determine the squared vertical distance 
between each point and the quadratic curve.

 

 

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