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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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