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Vibration is the most considerable factor in dynamics of machinery. Vibration causes an adverse effect on engine components and may reduce the life of the engine. The conventional fossil fuel sources are limited in the world. The dependency on diesel should be reduced by using biodiesel as an alternative fuel in next few years. The input parameters are affected on engine performance and emission. The present study mainly focuses on an optimization of vibrations, performance and emission using Taguchi and multiple regression analysis for biodiesel as a fuel. The test was performed on a single cylinder, four-stroke, diesel engine with VCR. Taguchi method is used to prepare the design of experiment of the L16 array to minimize the number of experiments and multiple regression analysis used for finding the best relationship between the input and output parameters. The selected input parameters are- fuel fraction, compression ratio, injection pressure and injection timing.