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Quantitative assessment of brand promotion effect of agricultural products based on multiple regression analysis

Yanjun Su

Yanjun Su

Henan University of Animal Husbandry and EconomyZhengzhou, China
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Su, Yanjun
  
29 sept. 2025
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Publié en ligne: 29 sept. 2025
Reçu: 13 janv. 2025
Accepté: 02 mai 2025
DOI: https://doi.org/10.2478/amns-2025-1115
Mots clés
© 2025 Yanjun Su, published by Sciendo.
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

Standardized residual histogram
Standardized residual histogram

Figure 2.

Standardized residual P-P diagram
Standardized residual P-P diagram

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
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