Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program. Variable x Variable y 6 28 9 5 12 15 16 8 95 32 131 210 270 63 Oy=11.6018.1.2207² Oy=20.93302-93.8918 Oy=1.2246x² -5.0511r+24. 2880 Oy=1.155621.9375

Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program. Variable x Variable y 6 28 9 5 12 15 16 8 95 32 131 210 270 63 Oy=11.6018.1.2207² Oy=20.93302-93.8918 Oy=1.2246x² -5.0511r+24. 2880 Oy=1.155621.9375

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Answer this question CORRECTLY!

 

Title: Determining a Quadratic Model for a Data Set Introduction: When analyzing a set of data, identifying the correct mathematical model can be essential for accurate predictions and understanding. A quadratic model is one option when relationships between variables are not linear. Data Set: The given data set includes two variables, x and y: - Variable x: 6, 9, 5, 12, 15, 16, 8 - Variable y: 28, 95, 32, 131, 210, 270, 63 Objective: Determine which equation represents a quadratic model for the data set provided. Equations: Here are the potential equations to consider: 1. \( y = 11.6018 - 1.2207x \) 2. \( y = 20.9330x - 93.8918 \) 3. \( y = 1.2246x^2 - 5.0511x + 24.2880 \) 4. \( y = 1.1556x^{1.9375} \) Hint: Use a graphing calculator or a spreadsheet program to fit the equations and identify the quadratic model from the choices. Conclusion: Selecting the appropriate equation involves testing each against the data set to identify which provides the closest fit, confirming the relationship type, and ultimately understanding the behavior of the data through the identified model.
Transcribed Image Text:Title: Determining a Quadratic Model for a Data Set Introduction: When analyzing a set of data, identifying the correct mathematical model can be essential for accurate predictions and understanding. A quadratic model is one option when relationships between variables are not linear. Data Set: The given data set includes two variables, x and y: - Variable x: 6, 9, 5, 12, 15, 16, 8 - Variable y: 28, 95, 32, 131, 210, 270, 63 Objective: Determine which equation represents a quadratic model for the data set provided. Equations: Here are the potential equations to consider: 1. \( y = 11.6018 - 1.2207x \) 2. \( y = 20.9330x - 93.8918 \) 3. \( y = 1.2246x^2 - 5.0511x + 24.2880 \) 4. \( y = 1.1556x^{1.9375} \) Hint: Use a graphing calculator or a spreadsheet program to fit the equations and identify the quadratic model from the choices. Conclusion: Selecting the appropriate equation involves testing each against the data set to identify which provides the closest fit, confirming the relationship type, and ultimately understanding the behavior of the data through the identified model.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS