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Problem - There is quarterly information from 2010 to 2013 about the FlyingHigh (FH) airline.

This data is reported in the following table:

Year

Quarter

QD

PFH

PR

M

2010

Q1

64.8

250

250

104

 

Q2

33.6

265

250

101.5

 

Q3

37.8

265

240

103

 

Q4

83.3

240

240

105

2011

Q1

111.7

230

240

100

 

Q2

137.5

225

260

96.5

 

Q3

109.6

225

250

93.3

 

Q4

96.8

220

240

95

2012

Q1

59.5

230

240

97

 

Q2

83.2

235

250

99

 

Q3

90.5

245

250

102.5

 

Q4

105.5

240

240

105

2013

Q1

75.7

250

220

108.5

 

Q2

91.6

240

230

108.5

 

Q3

112.7

240

250

108

 

Q4

102.2

235

240

109

Where: QD is the average number of seats in economy class in FH; PFH is the average price (in US dollars) of the seat in economy class of FH; PR is the average price (in US Dollars) of the seat in the economic class of the competitor closest; and, M is the income level (in thousands of American dollars) of the region where FH operates and its main competitor. According to this:

1- Show the correlations between QD, PFH, PR, and, M. Relief the signs of the correlations that has QD with the rest of variables. According to economic theory have, Did you sense these signs?

Convert the data into logarithms and run the following specification:

Ln(QD)t = a + b * Ln(PFH)t + c * Ln(PR)t + d * Ln(M)t + errort

 Expected signs b < 0 by the demand law and c > 0. a is the intercept, and, t: 1, 2, 3, .... , 16.

2- With Minimum Ordinary Squares (MCO), using Excel (Data Analysis Regression), run the regression of the previous specification and show the estimates of a, b, c, y,d. Present a summary of your "outcome"

3- Indicate if the estimates have the expected signs. Use the definitions of elasticities?

4- Indicate if the estimates are statistically significant at 0.1%, 1%, 5% or 10%.

5- Interpret the coefficient of determination (R-squared) and the test F.

6- How does QD change, if PFH goes up by 10%? Is FH an inelastic good? Explain. Is it a good decision to raise the price?

7- How does QD change, if PR drops by 11%?

8- How does QD change, if M goes up by 5%?

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