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Digital SAT
Digital SAT Mathematics - No Calculator Section

Exam Score Prediction Based on Study Hours

Hard Problem Solving And Data Analysis Data Interpretation And Analysis

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 StudiedExam Score
475
685
895
265
580

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?

Hint

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