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The most effective way for Mr. Brauch to begin to answer this question would be to gather data on his students' participation grades and their overall grades. He can then analyze this data to determine if there is a relationship between the two variables.
A scatter plot would be the best graph type to help visualize this relationship. A scatter plot would allow Mr. Brauch to plot each student's participation grade against their overall grade, and then look for any patterns or trends in the data. He can also calculate the correlation coefficient to determine the strength and direction of the relationship between participation grades and overall grades.