A simple curve that often makes a good model for the variable costs of a company, as a function of the sales level x, has the form: y = B\x + Bx² + B3x² (no constant term because we are not looking at fixed costs) Find the best Least-Squares curve of the form above that fits to the data: (4, 1.58), (6,2.08), (8,2.5), (10, 2.8), (12, 3.1), (14, 3.4) , (16, 3.8) and (18, 4.32). Hint: construct your matrix as y= b1x+b2x2+b3x3.... bnxn

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
A simple curve that often makes a good model for the variable costs of a company, as a function of the sales level x, has
the form:
y = Bix + Bx² + B3x² (no constant term because we are not looking at fixed costs)
Find the best Least-Squares curve of the form above that fits to the data:
(4, 1.58), (6,2.08), (8,2.5), (10, 2.8), (12, 3.1), (14, 3.4), (16, 3.8) and (18, 4.32).
Hint: construct your matrix as y= b1x+b2x2+b3x3... bnxn
Transcribed Image Text:A simple curve that often makes a good model for the variable costs of a company, as a function of the sales level x, has the form: y = Bix + Bx² + B3x² (no constant term because we are not looking at fixed costs) Find the best Least-Squares curve of the form above that fits to the data: (4, 1.58), (6,2.08), (8,2.5), (10, 2.8), (12, 3.1), (14, 3.4), (16, 3.8) and (18, 4.32). Hint: construct your matrix as y= b1x+b2x2+b3x3... bnxn
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Labor Cost
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education