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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