The REDY Company produces a specialty cement used in the construction of roads. REDY 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 REDY 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 VARIABLE   PARAMETER    ESTIMATE STANDARD  ERROR      T-RATIO        P-VALUE  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 Explain the intercept and the coefficients of Pc, M, and PA.  What type of good is cement? Why?  What can you say about the relationship between cement and asphalt? Why?

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The REDY Company produces a specialty cement used in the construction of roads. REDY 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 REDY 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

VARIABLE

 

PARAMETER    ESTIMATE

STANDARD  ERROR

     T-RATIO

       P-VALUE

 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

  1. Explain the intercept and the coefficients of Pc, M, and PA
  2. What type of good is cement? Why? 
  3. What can you say about the relationship between cement and asphalt? Why? 
  4. At the 5% level of significance, which variables are statistically significant?
  5. If the price of cement per yard increases by 10, what will happen to the estimated quantity of cement demanded? What happens if it will increase by 20%? 
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