Question: MULTIPLE LINEAR REGRESSION A survey was carried out in 79 developed countries in order to determine the factors that would explain tourism (number of tourists

MULTIPLE LINEAR REGRESSION

A survey was carried out in 79 developed countries in order to determine the factors that would explain tourism (number of tourists received by each).The factors explaining tourism are economic growth (Growth), price level (Price), degree of openness (Openness), and number of people using the internet (Internet).

Model Summary

Model

R

R-square

Adjusted R-square

Std error of the estimate

1

.687a

.635

.417

21.285

a. Predictors : (Constant), Internet , Openness, Growth, Price

b. Dependent variable: Tourists

ANOVAa

Model

Sum of squares

df

Mean squares

F

Sig.

1

Regression

1217.405

4

304.351

67.2

.014b

Residual

33525.982

74

453.054

Total

34743.387

78

a. Dependent variable : Tourists

b. Predictors : (Constant), Internet , Openness, Growth, Price

Coefficientsa

Model

Unstandardized coefficients

Standardized coefficients

t

Sig.

95% confidence interval for B

Collinearity statistics

B

Standard error

Beta

Lower bound

Upper bound

Tolerance

VIF

1

(Constant)

60.707

32.840

1.849

.069

-4.728

126.142

Price

.199

1.515

.016

.131

.006

-3.218

2.820

.007

4.102

Growth

.731

1.042

.082

.701

.005

-2.806

1.345

.002

4.051

Openness

.023

.035

.075

.648

.519

-.047

.092

.002

4.029

Internet

.516

.355

.174

1.455

.010

-1.223

.191

.001

4.098

a. Dependent variable : Tourists

- What does R-square represent? Interpret it.

- What does the Fisher (F) statistic represent? Interpret it.

- Which variable does not significantly explain the variable "Tourists"?

- Interpret the significant coefficients of the regression.

- Do we have reason to believe that multicollinearity is an issue that affects the results of this multiple regression?Explain why or why not.

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