Interpret the coefficient of "Promotion deal X Complain Freq" What does it mean?
Transcribed Image Text:### Multivariate Regression Analysis: Factors Influencing Likelihood to Revisit
#### Final Model (Phase 1)
This table presents a multivariate regression analysis examining the factors influencing the likelihood of revisiting a location or service. The analyses include both the coefficients and standardized beta values for each independent variable, along with their corresponding p-values.
#### Independent Variables:
1. **Promotion Deal**:
- **Coefficient**: 1.846
- **Standardized Beta**: 0.413
- **p-value**: 0.000
2. **Complain Frequency**:
- **Coefficient**: -3.819
- **Standardized Beta**: -0.218
- **p-value**: 0.000
3. **Promotion Deal X Complain Frequency**:
- **Coefficient**: 0.485
- **Standardized Beta**: 0.141
- **p-value**: 0.000
4. **Study (=1)**:
- **Coefficient**: 1.670
- **Standardized Beta**: 0.036
- **p-value**: 0.157
5. **Promotion Deal X Study (=1)**:
- **Coefficient**: -0.271
- **Standardized Beta**: -0.046
- **p-value**: 0.037
6. **Transaction Amount**:
- **Coefficient**: 1.634
- **Standardized Beta**: -0.682
- **p-value**: 0.000
7. **Male**:
- **Coefficient**: 0.217
- **Standardized Beta**: 0.005
- **p-value**: 0.697
8. **Heavy**:
- **Coefficient**: 0.830
- **Standardized Beta**: 0.017
- **p-value**: 0.183
9. **Constant**:
- **Coefficient**: 10.18
- **p-value**: 0.000
#### Model Statistics:
- **N** (Sample Size): 122
- **Prob > F**: 0.000
- **R²**: 0.985
- **Adjusted R²**: 0
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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