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A simple curve that often makes a good model for the variable cost of a company, as a function of the sales level x, has the form y=0,x+₂x² + x³. There is no constant term because fixed costs are not included. Complete parts (a) through (c). B₁ B B 0 P₁ B₂ y=5516086 x + (-03699737)+(00115405)x³ (Do not round until the final answer. Then round to six decimal places as needed.) Pa b. Find the least-squares curve of the form above to fit the data (3,1.57), (5,2.03), (7.2.1) (9.28), (11,3.3), (13,3.5), (15,38), and (17.4.34), where x and y represent sales and costs in thousands. Produce a graph that shows the data points and the graph of the cubic approximation.

A simple curve that often makes a good model for the variable cost of a company, as a function of the sales level x, has the form y=0,x+₂x² + x³. There is no constant term because fixed costs are not included. Complete parts (a) through (c). B₁ B B 0 P₁ B₂ y=5516086 x + (-03699737)+(00115405)x³ (Do not round until the final answer. Then round to six decimal places as needed.) Pa b. Find the least-squares curve of the form above to fit the data (3,1.57), (5,2.03), (7.2.1) (9.28), (11,3.3), (13,3.5), (15,38), and (17.4.34), where x and y represent sales and costs in thousands. Produce a graph that shows the data points and the graph of the cubic approximation.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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A simple curve that often makes a good model for the variable cost of a company, as a function of the sales level x, has the form y=p,x+B₂x²+₂x³. There is no constant term because fixed costs are not included. Complete parts (a) through (c). P₁ B₂ B C 0 y=5516086 x + (-03699737)+(00115405): (Do not round until the final answer. Then round to six decimal places as needed.) B3 B₁ Pa (= b. Find the least-squares curve of the form above to fit the data (3,1.57), (5,2.03), (7,2.1), (9,2.8), (11,3.3), (13,3.5), (15,3.8), and (17.4.34), where x and y represent sales and costs in thousands. Produce a graph that shows the data points and the graph of the cubic approximation.
Transcribed Image Text:A simple curve that often makes a good model for the variable cost of a company, as a function of the sales level x, has the form y=p,x+B₂x²+₂x³. There is no constant term because fixed costs are not included. Complete parts (a) through (c). P₁ B₂ B C 0 y=5516086 x + (-03699737)+(00115405): (Do not round until the final answer. Then round to six decimal places as needed.) B3 B₁ Pa (= b. Find the least-squares curve of the form above to fit the data (3,1.57), (5,2.03), (7,2.1), (9,2.8), (11,3.3), (13,3.5), (15,3.8), and (17.4.34), where x and y represent sales and costs in thousands. Produce a graph that shows the data points and the graph of the cubic approximation.
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