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Using social media for political analysis, especially during elections, has become popular in the past few years where many researchers and media now use social media to understand the public opinion and current trends. In this paper, we investigate methods for using Twitter to analyze public opinion and to predict U.S. Presidential Primary Election results. We analyzed over 13 million tweets from February 2016 to April 2016 during the primary elections, and we looked at tweets that mentioned either Hillary Clin- ton, Bernie Sanders, Donald Trump or Ted Cruz. First, we use the methods of sentiment analysis, geospatial analysis, net- work analysis, and visualizations tools to examine public opinion on twitter. We then use the twitter data and analysis results to propose a prediction model for predicting primary election results. Our results highlight the feasibility of using social media to look at public opinion and predict election results.