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           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.  What can you say about the relationship between cement and asphalt? Why?

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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

         

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.  What can you say about the relationship between cement and asphalt? Why?

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