A data analyst is studying the relationship between the hours of study and exam scores of students. The following table summarizes the data collected from a sample of 50 students:
Hours Studied | Exam Score |
---|---|
4 | 75 |
6 | 85 |
8 | 95 |
2 | 65 |
5 | 80 |
Based on this data, the analyst creates a linear regression model to predict exam scores based on hours studied. If the equation of the line obtained from the model is represented as $$y = mx + b$$, where $$y$$ is the exam score, $$x$$ is the hours studied, $$m$$ is the slope, and $$b$$ is the y-intercept, what is the predicted exam score for a student who studies for 7 hours?