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Table 7 Comparison of \(R^2\) between the models of attention

From: Public risk perception and emotion on Twitter during the Covid-19 pandemic

\(R^2\) Country Power law Weber–Fechner law Linear relationship
Argentina 0.411 0.421 0.387
Australia 0.259 0.275 0.247
Canada 0.678 0.683 0.607
Chile 0.382 0.395 0.216
Colombia 0.425 0.319 0.28
India 0.558 0.397 0.477
Mexico 0.78 0.775 0.613
Nigeria 0.143 0.004 0.007
South Africa 0.16 0.171 0.119
Spain − 0.042 0 0.047
UK 0.514 0.555 0.399
USA 0.608 0.556 0.24
Mean 0.36 0.379 0.303
Proportion of best fits 41.7% 50% 8.33%
Proportion of second-best fits 66.7% 33.3% 0%
  1. We compare the power law model of Eq. (11), the Weber–Fechner model of Eq. (10) and a linear relationship between variables, which we use as a benchmark model. Higher values indicate better models; italics indicate the best model for that country