Question

Be sure to show you setups for all the problems Examine the computer output for Equation...

Be sure to show you setups for all the problems

  1. Examine the computer output for Equation 1 modeling the number of cars admitted to the Blue Spruce Holiday Light Up Event. Extract and specify Equation 1 which will show Cars as a function of Price.
  1. Predict the number of cars through the gate when the admission price is set at $6.
  1. Now predict the number of cars through the gate when the admission price is set at $7.
  1. Compute the arc price elasticity of demand in the range of prices $6 to $7.
  1. Is demand elastic or inelastic in the price range $6 to $7.
  1. Examine the computer output for Equation 2 modeling the number of cars admitted to the Blue Spruce Holiday Light Up Event. Extract and specify Equation 2 which will show Cars as a function of Price and average December Temperature.

7. Predict the number of Cars through the gate if the price is $8 and the average December temperature is 30 degrees.

  1. Using Equation 1, what price should we charge to get the maximum total revenue?
  1. Show or explain how you determined the revenue-maximizing price in the previous question? [There are several ways to do this. Think, explore, and try to find a way to figure it out.]
  1. What percent of the variation in cars through the gate can be accounted for by variation in admission price and average December Temperature?

Dependent Variable

CARS

N

15

Multiple R

0.8298604

Squared Multiple R

0.6886683

Adjusted Squared Multiple R

0.6647197

Standard Error of Estimate

478.7469853

Regression Coefficients B = (X'X)-1X'Y

Effect

Coefficient

Standard Error

Std. Coefficient

Tolerance

t

p-value

CONSTANT

7,553.2334688

580.7547678

0.0000000

.

13.0058914

0.0000000

PRICE

-633.9414634

118.2181417

-0.8298604

1.0000000

-5.3624719

0.0001292

Dependent Variable

CARS

N

15

Multiple R

0.9203313

Squared Multiple R

0.8470097

Adjusted Squared Multiple R

0.8215113

Standard Error of Estimate

349.3071128

Regression Coefficients B = (X'X)-1X'Y

Effect

Coefficient

Standard Error

Std. Coefficient

Tolerance

t

p-value

CONSTANT

5,017.0284102

835.1434178

0.0000000

.

6.0073854

0.0000615

PRICE

-613.3296817

86.4533074

-0.8028786

0.9954233

-7.0943461

0.0000126

PITTDECT

73.4854826

20.8519046

0.3988350

0.9954233

3.5241617

0.0041912

Case

CARS

PRICE

PITTDECT

1

6000

3

33.9

2

5966.7

3

31.7

3

4697.3

4

38.2

4

4436.8

4

27.7

5

4760

4

36.5

6

5072.8

4

33.5

7

5066

5

37.8

8

4446

5

34.6

9

3455.4

5

23.1

10

4781.4

5

37.5

11

3865.3

6

30.7

12

3447.8

6

32.6

13

3711

6

33.3

14

3448.2

6

27.6

15

4500.2

6

38.8

16

.

.

.

0 0
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