Question

Yeager Corporation has used regression analysis to perform price elasticity analysis. In doing so management regressed the quantity demanded (y variable) against price (x variable) with the following results:
Multiple R 0.86798
Adjusted R squared 0.72458
Standard error 542.33
Intercept 56400.5
Price coefficient –4598.20

1. What percentage of the variation in quantity demanded is explained by price?

a. 86.798%
b. 72.458%
c. 56.4%
d. 54.233%

2. Calculate the predicted quantity demanded if price is set at $7.00.

a. 24,213
b. 88,588
c. 31,234
d. 18,454

Answer 1

Answer:

b). 72.458 %

a). 24, 213

Explanation:

1). The second option i.e. 72.458% correctly measures the variance percentage brought in the dependent variable(regressed the quantity demanded) by manipulating the independent variable(price elasticity). The first option is wrong as it shows R multiple which is rather the coefficient. The third and the last options are incorrect as they display the intercept employed to determine the quantity and the key error of calculating the standard deviation.

2). The predicted quantity demanded would be 24,213 if the price is fixed at $7.00.

It can be calculated using the formula;

Quantity demanded = Intercept + (Adjusted R squared * Price coefficient)

∵ Quantity Demanded = 56,400.50 + (7 X -4,598.2)

= 24,213