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We then repeated the same procedure on Douyin’s DAU data. 120% 100% 80% 60% 40% 20% 0% -20% y = -2.60E-03x + 5.47E-01 R2 = 4.95E-01 0 50 100 150 200 250 DAU [mn] Figure 17: Discrete growth rate as a linear function of Douyin’s DAU Note: For DAU, data is only available from Feburary 2018 to January 2019. Dots represent data points over time whearas the dotted line depicts the discrete growth rate as a linear function of Douyin’s DAU – 𝑦 = −2.60𝐸 − 03𝑥 + 5.47𝐸 − 01 with an R-square of 0.50. This gives us 𝑎 = −2.6 ∗ 10−3 and 𝑏 = 5.47 ∗ 10−1. From Figure 16 and Figure 17, we observed the following: o By showing discrete growth rate as a function of Douyin’s user population, in terms of both MAU and DAU, we get a linear equation 𝑦 = −6.44𝐸 − 04𝑥 + 3.26𝐸 − 01 for MAU and 𝑦 = −2.60𝐸 − 03𝑥 + 5.47𝐸 − 01 for DAU. The R-square of both functions is low, being 0.13 and 0.50 respectively, suggesting that there is a low degree of fit from a linear decreasing discrete growth rate and the data points, reflecting user population over time. o In Figure 16 , by excluding the period, year 2018, where Douyin experienced the most rapid user growth, we hope to smooth the data and obtain a better fit of the linear equation, in terms of higher R-square. However, as shown in the graph, for MAU, the R-square only increases from 0.13 to 0.34, not showing great improvement. o The analysis of discrete growth rate reflects the level of fit of the logistic function. A linearly decrease of discrete growth rate as a function of user population reflects a well fitted logistic - 45 - Discrete Growth RatePDF Image | Analysis of ByteDance with a close look on Douyin TikTok
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