Suppose demand for a product is determined by its price, consumers’ income

1. Suppose demand for a product is determined by its price, consumers’ income, and the
price of a related good. Use Q for demand, P for price, M for income, and PR for price of
related good. The demand function is estimated using regression analysis. The results
are reported below:
SUMMARY OUTPUT
Regression Statistics

Standard Error
Observations

0.8147521
35
0.6638210
42
0.1595526
05
530.28426
31
66

Intercept
P
M
PR

Coefficient
s
125.56
-5.39
0.069
-10.98

Multiple R
R Square
Adjusted R Square

1) What is the

R2

Standard
Error
15.87
2.19

t Stat

Pvalue

7.1001
0.046

2.73

of this regression? (5pts)

R² is how statistically close by measure the data is to the regression line.
0.663821042
2) What is the degrees of freedom of this regression? (5pts)
66-2 = 64 degrees at .05 = 1.669
3) What is the effect of a one-dollar increase in price (P) on demand (Q)? (5pts)
4) What is the effect of a one-dollar increase in income (M) on demand (Q)? (5pts)
5) What is the effect of a one-dollar increase in price of related good (PR) on demand
(Q)? (5pts)
6) Calculate the t Stat (or t ratio marked with “???” in the table) for the coefficient on P?
(5pts) t= 7.1007992
7) Test whether the effect of P on Q is significant at the 5% significance level. Show
your work. (5pts)

8) Using the p-value 0.046 in the table, test if the effect of M on Q is significant at the
5% significance level. (5pts)
9) Using the values P=100, M=35,000, and PR=40, predict the demand (Q)? (5pts)
10) Using the value of predicted Q you just calculated for part 9), calculate the estimates
of
The price elasticity of demand. Show your work. (5pts)
The income elasticity of demand. Show your work. (5pts)
The cross-price elasticity of demand. Show your work. (5pts)

2. Suppose the following is an estimated log-linear demand function:
ln Q = 8.99 – 3.78 ln P – 1.77 ln M – 2.03 ln PR
All parameter estimates are significant.
1) Is this good a normal or an inferior good? (5pts)
Normal Good
2) Is this good a complement of or substitute for the related good? (5pts)
Complement
3) What is the price elasticity of demand for this good? (5pts)
4) What is the income elasticity of demand for this good? (5pts)

 

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