The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A)-(D). X 270 360 520 780 p($) 592 413 (B) Find a linear regression equation for the cost data, using x as the independent variable. y=0 (Type an expression using x as the variable. Use integers or decimals for any numbers i the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The fixed costs are $ (Round to the nearest dollar as needed.) 186 56 C($) 115,000 120.600 165,000 193,000 (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. y=0 (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant ter three decimal places as needed.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter4A: Problems In Applying The Linear Regression Model
Section: Chapter Questions
Problem 2E
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The table to the right contains price-demand and total cost data for the production of projectors, where p is the
wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars)
of producing x projectors. Answer the following questions (A) - (D).
(A) Find a quadratic regression equation for the price-demand data, using x as the independent variable.
X
270
360
520
780
The fixed costs are $.
(Round to the nearest dollar as needed.)
ITTI
y =
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector.
The variable costs are $ per projector.
(Round to the nearest dollar as needed.)
(C) Find the break even points.
The break even points are
(Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.)
p($)
592
413
186
56
y=
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to
three decimal places as needed.)
(B) Find a linear regression equation for the cost data, using x as the independent variable.
LITT
C($)
115,000
120,600
165,000
193,000
Transcribed Image Text:The table to the right contains price-demand and total cost data for the production of projectors, where p is the wholesale price (in dollars) of a projector for an annual demand of x projectors and C is the total cost (in dollars) of producing x projectors. Answer the following questions (A) - (D). (A) Find a quadratic regression equation for the price-demand data, using x as the independent variable. X 270 360 520 780 The fixed costs are $. (Round to the nearest dollar as needed.) ITTI y = (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.) Use the linear regression equation found in the previous step to estimate the fixed costs and variable costs per projector. The variable costs are $ per projector. (Round to the nearest dollar as needed.) (C) Find the break even points. The break even points are (Type ordered pairs. Use a comma to separate answers as needed. Round to the nearest integer as needed.) p($) 592 413 186 56 y= (Type an expression using x as the variable. Use integers or decimals for any numbers in the expression. Round the coefficients to seven decimal places as needed. Round the constant term to three decimal places as needed.) (B) Find a linear regression equation for the cost data, using x as the independent variable. LITT C($) 115,000 120,600 165,000 193,000
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