The predictive power of linear regression models in tennis betting can be significant, as these models can analyze various quantitative factors such as player statistics, surface preferences, head-to-head records, and match conditions to estimate match outcomes. By quantifying relationships between independent variables (like aces, first serve percentages, and past performance data) and dependent variables (match results), linear regression can provide insights into expected probabilities of winning. However, the predictive accuracy can be limited by the inherent unpredictability of sports and the influence of unquantifiable factors such as player mentality, injuries, and external conditions.