Quantitative assessment of brand promotion effect of agricultural products based on multiple regression analysis
Sep 29, 2025
About this article
Published Online: Sep 29, 2025
Received: Jan 13, 2025
Accepted: May 02, 2025
DOI: https://doi.org/10.2478/amns-2025-1115
Keywords
© 2025 Yanjun Su, published by Sciendo.
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1.
Figure 2.
Evaluate the consistency index calculation results
| Median | Ratio arithmetic mean | Weighted ratio mean | Discrete coefficient | Price correlation |
|---|---|---|---|---|
| 1.00261 | 1.0352 | 0.9522 | 4.02311 | 0.9825 |
Regression
| Independent variable | Coefficient | Standard deviation | T-statistic | P value |
|---|---|---|---|---|
| Financing Effect | 0.207894 | 0.343334 | 1.81357 | 0.6227 |
| Project Innovation | 0.012231 | 0.233795 | 0.37927 | 0.4125 |
| Periodic Continuity | 0.032513 | 0.153191 | 1.53056 | 0.2308 |
| Product Reliability | 0.235319 | 0.180799 | 2.8163 | 0.2352 |
| Detail | 0.041436 | 0.131607 | 0.58968 | 0.0761 |
| Project Reputation | 0.149697 | 0.277089 | 1.8261 | 0.0842 |
| Reputation Of Originator | 0.03234 | 0.128173 | 0.27102 | 0.6763 |
| Initial Number Of Fans | 0.306701 | 0.173075 | 2.7514 | 0.7341 |
| Adjusted R2=0.832261 R2=0.836522 F statistic=75.62 | ||||
| DW=1.82322 Prob=0 | ||||
Principal component coefficient matrix
| Index | Principal Component | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| Financing Effect | 0.85 | 0.86 | 0.38 | 0.13 |
| Project Innovation | 0.14 | 0.58 | 0.86 | 0.27 |
| Periodic Continuity | 0.71 | 0.78 | 0.25 | 0.28 |
| Product Reliability | 0.41 | 0.31 | 0.55 | 0.24 |
| Detail | 0.89 | 0.07 | 0.19 | 0.4 |
| Project Reputation | 0.55 | 0.93 | 0.24 | 0.57 |
| Reputation Of Originator | 0.43 | 0.4 | 0.3 | 0.93 |
| Initial Number Of Fans | 0.49 | 0.37 | 0.91 | 0.06 |
Descriptive statistics
| Observed Value | Mean | Median | Maximum Value | Minimum Value | Standard Deviation | Degree Of Bias | Kurtosis | P Value | |
|---|---|---|---|---|---|---|---|---|---|
| Promotion Effect | 225 | 9.828 | 9.261 | 10.215 | 9.489 | 0.215 | 3.018 | 35.696 | 0 |
| Financing Effect | 225 | 17.841 | 6.061 | 12.441 | 0.2 | 0.329 | 1.97 | 1.925 | 0.587 |
| Project Innovation | 225 | 16.657 | 2 | 6 | 0 | 0.014 | 17.755 | 2.779 | 0.599 |
| Periodic Continuity | 225 | 8.363 | 1.5 | 2 | 1 | 0.021 | 14.112 | 2.18 | 0.477 |
| Product Reliability | 225 | 7.954 | 3.5 | 4 | 1 | 0.003 | 2.741 | 2.883 | 0.149 |
| Detail | 225 | 20.292 | 0.5 | 1 | 0 | 0.057 | 10.312 | 2.355 | 0.096 |
| Project Reputation | 225 | 2.134 | 0.5 | 1 | 0 | 0.202 | 20.017 | 1.704 | 0.002 |
| Reputation Of Originator | 225 | 8.446 | 2 | 2 | 1 | 0.178 | 21.013 | 1.639 | 0.186 |
| Initial Number Of Fans | 225 | 2.137 | 2 | 2 | 1 | 0.032 | 11.193 | 2.435 | 0 |
Eigenvalue and contribution rate
| Characteristic root | Contribution rate(%) | Cumulative contribution(%) | |
|---|---|---|---|
| 1 | 2.85 | 35.63 | 35.63 |
| 2 | 2.1 | 26.25 | 61.88 |
| 3 | 1.04 | 13.00 | 74.88 |
| 4 | 1 | 12.50 | 87.38 |
| 5 | 0.51 | 6.38 | 93.76 |
| 6 | 0.33 | 4.13 | 97.89 |
| 7 | 0.15 | 1.88 | 99.77 |
| 8 | 0.02 | 0.25 | 100 |