Explain the value of the coefficient of determination and the overall significance of the model. Write the resulting regression equation.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. Explain the value of the coefficient of determination and the overall significance of the model.
  2. Write the resulting regression equation.
Given: The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand
for its cement using a demand function in the linear form:
Q = f( P, M, PR)
where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country's tax revenues per capita, and PR = the price
of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding
months. The results are presented below:
DEPENDENT VARIABLE
Qc
R-
SQUARE
F-RATIO
P-VALUE ON F
OBSERVATIONS
64
0.8093
84.872
0.0001
PARAMETER
STANDARD ERROR
T-
P-VALUE
VARIABLE
ESTIMATE
RATIO
INTERCEPT
8.20
4.01
2.04
0.0461
PC
-3.54
1.64
-2.16
0.0357
M
0.64287
0.19
3.38
0.0014
PA
0.7854
0.38
2.07
0.0439
Transcribed Image Text:Given: The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country's tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 PARAMETER STANDARD ERROR T- P-VALUE VARIABLE ESTIMATE RATIO INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439
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