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

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Country Pair Relation Index in a mode-specific time trend analysis produced by the Canadian Transport Commission. Check FAQs

β = {(\frac{P ij}{a 0 \cdot {(α \cdot GNP)}^{b 0} \cdot {(α \cdot GNP)}^{C} \cdot (F e + A + (\frac{B}{F e - C}))})}^{\frac{1}{d}}

β - Country Pair Relation Index?P_ij - Air Passengers between Cities i and j?a₀ - Regression Coefficient a?α - Station Share of GNP?GNP - Real Gross National Product?b₀ - Regression Coefficient b?C - Currency Scale Constant c?F_e - Economy Fare?A - Currency Scale Constant a?B - Currency Scale Constant b?d - Regression Coefficient d?

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

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Here is how the Country Pair Relation Index given Air Traffic between Stations i and j equation looks like with Values.

Here is how the Country Pair Relation Index given Air Traffic between Stations i and j equation looks like with Units.

Here is how the Country Pair Relation Index given Air Traffic between Stations i and j equation looks like.

0.4879 = {(\frac{500}{10.5 \cdot {(5.5 \cdot 460)}^{0.01} \cdot {(5.5 \cdot 460)}^{0.2} \cdot (10.15 + 0.5 + (\frac{0.3}{10.15 - 0.2}))})}^{\frac{1}{0.21}}

0.4879 = {(\frac{500}{10.5 \cdot {(5.5 \cdot 460)}^{0.01} \cdot {(5.5 \cdot 460)}^{0.2} \cdot (10.15 + 0.5 + (\frac{0.3}{10.15 - 0.2}))})}^{\frac{1}{0.21}}

0.4879 = {(\frac{500}{10.5 \cdot {(5.5 \cdot 460)}^{0.01} \cdot {(5.5 \cdot 460)}^{0.2} \cdot (10.15 + 0.5 + (\frac{0.3}{10.15 - 0.2}))})}^{\frac{1}{0.21}}

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

Follow our step by step solution on how to calculate Country Pair Relation Index given Air Traffic between Stations i and j?

FIRST Step Consider the formula

β = {(\frac{P ij}{a 0 \cdot {(α \cdot GNP)}^{b 0} \cdot {(α \cdot GNP)}^{C} \cdot (F e + A + (\frac{B}{F e - C}))})}^{\frac{1}{d}}

Next Step Substitute values of Variables

∴

β = {(\frac{500}{10.5 \cdot {(5.5 \cdot 460)}^{0.01} \cdot {(5.5 \cdot 460)}^{0.2} \cdot (10.15 + 0.5 + (\frac{0.3}{10.15 - 0.2}))})}^{\frac{1}{0.21}}

Next Step Prepare to Evaluate

∴

β = {(\frac{500}{10.5 \cdot {(5.5 \cdot 460)}^{0.01} \cdot {(5.5 \cdot 460)}^{0.2} \cdot (10.15 + 0.5 + (\frac{0.3}{10.15 - 0.2}))})}^{\frac{1}{0.21}}

Next Step Evaluate

∴

β = 0.487892195281799

LAST Step Rounding Answer

∴

β = 0.4879

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

Variables

Country Pair Relation Index

Country Pair Relation Index in a mode-specific time trend analysis produced by the Canadian Transport Commission.

Symbol: β

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Country Pair Relation Index

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.

Symbol: P_ij

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Air Passengers between Cities i and j

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.

Symbol: a₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Regression Coefficient a

Station Share of GNP

Station Share of GNP, Gross national product .

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Station Share of GNP

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.

Symbol: GNP

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Real Gross National Product

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.

Symbol: b₀

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Regression Coefficient b

Currency Scale Constant c

Currency Scale Constant c for the mode-specific econometric model.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Currency Scale Constant c

Economy Fare

Economy Fare defined for a mode-specific econometric model.

Symbol: F_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Economy Fare

Currency Scale Constant a

Currency Scale Constant a for the mode-specific econometric model.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Currency Scale Constant a

Currency Scale Constant b

Currency Scale Constant b for the mode-specific econometric model.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Currency Scale Constant b

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.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Regression Coefficient d

Other formulas in Generation Distribution Models category

Go Air Trips between i and j

F ij = (P i \cdot P j) \cdot (x + (β \cdot t) + (Q ij))

Go Population at i given Air Trips between i and j

P i = \frac{F ij}{(x + (β \cdot t) + (Q ij)) \cdot P j}

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

Country Pair Relation Index given Air Traffic between Stations i and j evaluator 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 evaluate 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 evaluate Country Pair Relation Index given Air Traffic between Stations i and j using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Country Pair Relation Index given Air Traffic between Stations i and j?

The formula of Country Pair Relation Index given Air Traffic between Stations i and j is expressed as 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). Here is an 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).

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

With 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) we can find Country Pair Relation Index given Air Traffic between Stations i and j using the formula - 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).

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

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

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

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

Other formulas in Generation Distribution Models category

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

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

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