Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States. Wilpen estimates the U.S. demand for its tennis balls by using the following linear specification: 

Q = a + bP + cM + dP_R

where Q is the number of cans of tennis balls sold quarterly, P is the wholesale price 

Wilpen charges for a can of tennis balls, M is the consumers’ average household income, and P_R is the average price of tennis rackets. The regression results are as follows:

a. Discuss the statistical significance of the parameter estimates â, bˆ, cˆ, and dˆ using the p –values. Are the signs of bˆ, cˆ, and dˆ consistent with the theory of demand? 

Wilpen plans to charge a wholesale price of $1.65 per can. The average price of a tennis racket is $110, and consumers’ average household income is $24,600. 

b. What is the estimated number of cans of tennis balls demanded? 

c. At the values of P, M, and P_R given, what are the estimated values of the price (Ê), income (Ê_M), and cross-price elasticities (Ê_XR) of demand? 

d. What will happen, in percentage terms, to the number of cans of tennis balls demanded if the price of tennis balls decreases 15 percent? 

e. What will happen, in percentage terms, to the number of cans of tennis balls demanded if average household income increases by 20 percent? 

f. What will happen, in percentage terms, to the number of cans of tennis balls demanded if the average price of tennis rackets increases 25 percent?

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DEPENDENT VARIABLE: Q R-SQUARE F-RATIO P-VALUE ON OBSERVATIONS: 20 0.8435 28.75 0.001 PARAMETER ESTIMATE STANDARD ERROR VARIABLE T-RATIO P-VALUE 1.93 -22. 96 4.08 -3.16 INTERCEPT 425120.0 -37260.6 1.49 -1456.0 220300.0 12587 0.3651 460.75 0.0716 0.0093 0.0009 0.0060 PR