Analysis of Charm Cost vs Stored Coin Value
Here are two graphs illustrating the trendline: one up to 1250 gems and the other extended to 3000 gems. The trendline equation derived from the data is *y=4657.21x+59053.43, where y represents the stored coin value of charms, and x is the charm cost in gems. For simplicity and practicality, the equation can be rounded to y = 4700x.
Analysis of Charm Cost vs Stored Coin Value
- Understanding Charm Value Variability:
- Charm stored values have a ±25% variability, meaning these graphs are not meant to pinpoint the exact value of individual charms but rather to showcase the overall relationship between gem cost and stored coin value.
- Linear Relationship Without Intercept:
- Using the simplified equation y = 4700x, the stored coin value scales directly with the charm cost. This linear equation eliminates the intercept for simplicity, making it easier to estimate stored values:
- A charm costing 1000 gems would have an estimated stored value of 4.7M coins.
- A charm costing 2000 gems would have an estimated stored value of 9.4M coins.
- A charm costing 3000 gems would have an estimated stored value of 14.1M coins.
- Zoomed and Extended Perspectives:
- The first graph focuses on charms costing up to 1500 gems, highlighting the most frequently used charms.
- The second graph extends the analysis up to 3000 gems, offering insight into higher-cost charms and their corresponding stored values.
- Practical Usage of the Trendline:
- This simplified equation allows players to quickly estimate the stored value of a charm without needing to account for a complex intercept.
- While individual charms may vary from the estimated values due to inherent variability, this trendline provides a useful reference point for understanding how stored values scale with gem cost.
These graphs provide a clear visualization of the proportional relationship between gem cost and stored coin values in CasinoWorld. While the rounded trendline equation simplifies the analysis, it captures the essential scaling behavior, making it a practical tool for players to understand charm values at a glance.
Here is the updated chart with:
- The trend line represented in red (dashed).
- A shaded area showing the ±25% variability in charm stored values.
Here are the three simplified equations based on y = 4700x:
- Mid Trendline (Base):
y = 4700x - Upper Trendline (+25% Variability):
y = 5875x - Lower Trendline (-25% Variability):
y = 3525x
These equations represent the mid, upper, and lower bounds of stored coin values for charms with respect to their gem cost, accounting for a ±25% variability.