Algorithm 1. The algorithm for the data series interpolation using STK has the following stages

0.Input: Raw dataset 1. Perform Exploratory Data Analysis (EDA) on raw dataset Visual inspections: Box plot, Histogram Performs the K-S and K-W tests 2.Assess EDA Results: IF the dataset passes normality and homoscedasticity tests, THEN GOTO Step 3, ELSE, GOTO Step 6. 3.Perform LOOCV for STK 4. Back-transformation of Predicted Data: Predict the trend for each data point (if data was detrended in Steps 7 or 8) Apply the correction factor and reverse any log transformations 5.Calculate Error Metrics: MAE, RMSE, and MAPE END Algorithm 6. Data Transformation (IF needed after Step 2) Apply log10 transformation to the data GOTO Step 1 (Reapply EDA) 7. Simple Linear Detrending (IF Step 6 fails to normalize data) Detrend data using a simple linear model with the ‘lm()’ function GOTO Step 1 (Reapply EDA) 8. Complex Model Detrending (IF Step 7 fails to normalize data) Detrend data using complex models like GAMM and LME GOTO Step 1 (Reapply EDA)