Country Pair Relation Index given Air Traffic between Stations i and j Calculator

✖Air Passengers between Cities i and j is the travelling group but bears little or no responsibility for the tasks required for the vehicle to arrive at its destination.ⓘ Air Passengers between Cities i and j [P_ij]			+10% -10%
✖Regression Coefficient a of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.ⓘ Regression Coefficient a [a₀]			+10% -10%
✖Station Share of GNP, Gross national product .ⓘ Station Share of GNP [α]			+10% -10%
✖Real Gross National Product is the total value of all finished goods and services produced by a country's citizens in a given financial year, irrespective of their location.ⓘ Real Gross National Product [GNP]			+10% -10%
✖Regression Coefficient b of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.ⓘ Regression Coefficient b [b₀]			+10% -10%
✖Currency Scale Constant c for the mode-specific econometric model.ⓘ Currency Scale Constant c [C]			+10% -10%
✖Economy Fare defined for a mode-specific econometric model.ⓘ Economy Fare [F_e]			+10% -10%
✖Currency Scale Constant a for the mode-specific econometric model.ⓘ Currency Scale Constant a [A]			+10% -10%
✖Currency Scale Constant b for the mode-specific econometric model.ⓘ Currency Scale Constant b [B]			+10% -10%
✖Regression Coefficient d of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.ⓘ Regression Coefficient d [d]			+10% -10%

✖Country Pair Relation Index in a mode-specific time trend analysis produced by the Canadian Transport Commission.ⓘ Country Pair Relation Index given Air Traffic between Stations i and j [β]

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Formula

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Country Pair Relation Index given Air Traffic between Stations i and j

Formula

`"β" = (("P"_{"ij"})/("a"_{"0"}*("α"*"GNP")^"b"_{"0"}*("α"*"GNP")^"C"*("F"_{"e"}+"A"+("B"/("F"_{"e"}-"C")))))^(1/"d")`

Example

`"0.487892"=(("500")/("10.5"*("5.5"*"460")^"0.01"*("5.5"*"460")^"0.2"*("10.15"+"0.5"+("0.3"/("10.15"-"0.2")))))^(1/"0.21")`

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Country Pair Relation Index given Air Traffic between Stations i and j Solution

STEP 0: Pre-Calculation Summary

Formula Used

Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d)
β = ((P_ij)/(a₀*(α*GNP)^b₀*(α*GNP)^C*(F_e+A+(B/(F_e-C)))))^(1/d)
This formula uses 11 Variables

Variables Used

Country Pair Relation Index - Country Pair Relation Index in a mode-specific time trend analysis produced by the Canadian Transport Commission.
Air Passengers between Cities i and j - Air Passengers between Cities i and j is the travelling group but bears little or no responsibility for the tasks required for the vehicle to arrive at its destination.
Regression Coefficient a - Regression Coefficient a of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.
Station Share of GNP - Station Share of GNP, Gross national product .
Real Gross National Product - Real Gross National Product is the total value of all finished goods and services produced by a country's citizens in a given financial year, irrespective of their location.
Regression Coefficient b - Regression Coefficient b of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.
Currency Scale Constant c - Currency Scale Constant c for the mode-specific econometric model.
Economy Fare - Economy Fare defined for a mode-specific econometric model.
Currency Scale Constant a - Currency Scale Constant a for the mode-specific econometric model.
Currency Scale Constant b - Currency Scale Constant b for the mode-specific econometric model.
Regression Coefficient d - Regression Coefficient d of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.

STEP 1: Convert Input(s) to Base Unit

Air Passengers between Cities i and j: 500 --> No Conversion Required
Regression Coefficient a: 10.5 --> No Conversion Required
Station Share of GNP: 5.5 --> No Conversion Required
Real Gross National Product: 460 --> No Conversion Required
Regression Coefficient b: 0.01 --> No Conversion Required
Currency Scale Constant c: 0.2 --> No Conversion Required
Economy Fare: 10.15 --> No Conversion Required
Currency Scale Constant a: 0.5 --> No Conversion Required
Currency Scale Constant b: 0.3 --> No Conversion Required
Regression Coefficient d: 0.21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

β = ((P_ij)/(a₀*(α*GNP)^b₀*(α*GNP)^C*(F_e+A+(B/(F_e-C)))))^(1/d) --> ((500)/(10.5*(5.5*460)^0.01*(5.5*460)^0.2*(10.15+0.5+(0.3/(10.15-0.2)))))^(1/0.21)

Evaluating ... ...

β = 0.487892195281799

STEP 3: Convert Result to Output's Unit

0.487892195281799 --> No Conversion Required

FINAL ANSWER

0.487892195281799 ≈ 0.487892 <-- Country Pair Relation Index

(Calculation completed in 00.004 seconds)

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Country Pair Relation Index given Air Traffic between Stations i and j

Go Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d)

Income for Leisure given Air Trips for Stated Purpose under Leisure Category

Go Income = ((Air Trips in Year y for stated Purpose/Population of Origin City)-Regression Contant a)/(Regression Contant b*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Population at Origin given Air Trips in Year y for Stated Purpose under Leisure Category

Go Population of Origin City = Air Trips in Year y for stated Purpose/(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Air Trips in Year y for Stated Purpose under Leisure Category

Go Air Trips in Year y for stated Purpose = Population of Origin City*(Regression Contant a+(Regression Contant b*Income)*(1/(1+(Constant Reflection Surface Route Saturation*(Mean Total Effective Fair/Mean Income of Households)^Constant q))))

Population at i given Air Trips between i and j

Go Population of Origin City = Air Trips between i and j/((Calibrated Constant+(Country Pair Relation Index*Number of Years)+(Factor to Adjust for Quantum Effects))*Population of Destination City)

Air Trips between i and j

Go Air Trips between i and j = (Population of Origin City*Population of Destination City)*(Calibrated Constant+(Country Pair Relation Index*Number of Years)+(Factor to Adjust for Quantum Effects))

Factor to adjust for Quantum Effects given Air Trips between i and j

Go Factor to Adjust for Quantum Effects = (Air Trips between i and j/(Population of Origin City*Population of Destination City))-Calibrated Constant-(Country Pair Relation Index*Number of Years)

Time in Years given Air Trips between i and j

Go Number of Years = ((Air Trips between i and j/(Population of Origin City*Population of Destination City))-Calibrated Constant-Factor to Adjust for Quantum Effects)/Country Pair Relation Index

Country Pair Relation Index given Air Traffic between Stations i and j Formula

What is Trip Distribution Model?

The Trip Distribution Model predicts the level of trip interchange between designated
airport pairs once the level of generation of the air trip ending at the individual airport
has been computed. The most widely used distribution model applied to the transport
situation has been the gravity model.

What is Revenue Passenger Mile (RPM)?

A Revenue Passenger Mile (RPM) is a transportation industry metric that shows the number of miles traveled by paying passengers and is typically an airline traffic statistic. Revenue passenger miles are calculated by multiplying the number of paying passengers by the distance traveled.

How to Calculate Country Pair Relation Index given Air Traffic between Stations i and j?

Country Pair Relation Index given Air Traffic between Stations i and j calculator uses Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d) to calculate the Country Pair Relation Index, The Country Pair Relation Index given Air Traffic between Stations i and j defines the Mode-Specific Econometric Model for Air Traffic between Stations origin and destination cities. Country Pair Relation Index is denoted by β symbol.

How to calculate Country Pair Relation Index given Air Traffic between Stations i and j using this online calculator? To use this online calculator for Country Pair Relation Index given Air Traffic between Stations i and j, enter Air Passengers between Cities i and j (P_ij), Regression Coefficient a (a₀), Station Share of GNP (α), Real Gross National Product (GNP), Regression Coefficient b (b₀), Currency Scale Constant c (C), Economy Fare (F_e), Currency Scale Constant a (A), Currency Scale Constant b (B) & Regression Coefficient d (d) and hit the calculate button. Here is how the Country Pair Relation Index given Air Traffic between Stations i and j calculation can be explained with given input values -> 0.487892 = ((500)/(10.5*(5.5*460)^0.01*(5.5*460)^0.2*(10.15+0.5+(0.3/(10.15-0.2)))))^(1/0.21).

FAQ

What is Country Pair Relation Index given Air Traffic between Stations i and j?

The Country Pair Relation Index given Air Traffic between Stations i and j defines the Mode-Specific Econometric Model for Air Traffic between Stations origin and destination cities and is represented as β = ((P_ij)/(a₀*(α*GNP)^b₀*(α*GNP)^C*(F_e+A+(B/(F_e-C)))))^(1/d) or Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d). Air Passengers between Cities i and j is the travelling group but bears little or no responsibility for the tasks required for the vehicle to arrive at its destination, Regression Coefficient a of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response, Station Share of GNP, Gross national product , Real Gross National Product is the total value of all finished goods and services produced by a country's citizens in a given financial year, irrespective of their location, Regression Coefficient b of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response, Currency Scale Constant c for the mode-specific econometric model, Economy Fare defined for a mode-specific econometric model, Currency Scale Constant a for the mode-specific econometric model, Currency Scale Constant b for the mode-specific econometric model & Regression Coefficient d of model formulation is an estimate of the unknown parameters and describes the relationship between a predictor variable and the response.

How to calculate Country Pair Relation Index given Air Traffic between Stations i and j?

The Country Pair Relation Index given Air Traffic between Stations i and j defines the Mode-Specific Econometric Model for Air Traffic between Stations origin and destination cities is calculated using Country Pair Relation Index = ((Air Passengers between Cities i and j)/(Regression Coefficient a*(Station Share of GNP*Real Gross National Product)^Regression Coefficient b*(Station Share of GNP*Real Gross National Product)^Currency Scale Constant c*(Economy Fare+Currency Scale Constant a+(Currency Scale Constant b/(Economy Fare-Currency Scale Constant c)))))^(1/Regression Coefficient d). To calculate Country Pair Relation Index given Air Traffic between Stations i and j, you need Air Passengers between Cities i and j (P_ij), Regression Coefficient a (a₀), Station Share of GNP (α), Real Gross National Product (GNP), Regression Coefficient b (b₀), Currency Scale Constant c (C), Economy Fare (F_e), Currency Scale Constant a (A), Currency Scale Constant b (B) & Regression Coefficient d (d). With our tool, you need to enter the respective value for Air Passengers between Cities i and j, Regression Coefficient a, Station Share of GNP, Real Gross National Product, Regression Coefficient b, Currency Scale Constant c, Economy Fare, Currency Scale Constant a, Currency Scale Constant b & Regression Coefficient d and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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