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##### Multivariable Linear regression;interacting variables. Removing oil from a water/oil mix.

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Question;Multivariable Linear regression, interacting variables. Removing oil from a water/oil mix. This question is from the textbook "A Second Course in Statistics: Regression Analysis" question 4.33 in case someone has the text.Three of seven variables are used to predict voltage (y). The model is: E(y) = B0 + B1X1 + B2X2 + B3X5 + B4X1X2 + B5X1X5, where X1 is volume, X2 is salinity and X5 is surfactant concentrationa)Note that the model includes interaction between disperse phase volume and salinity as well as interaction between disperse phase volume and sufacant concentration. Discuss how thsese interaction terms affect the hypothetical relationship between y and X1. Draw a sketch to support answerb) Fit the interaction model to the datac) interpret the beta estimates of the interaction modelExperiment Voltage Volume Salinity Temperature Delay Surfactant SpanTriton SolidPart1 0.64 40 1 4 0.25 2 0.25 0.52 0.80 80 1 4 0.25 4 0.25 2.03 3.20 40 4 4 0.25 4 0.75 0.54 0.48 80 4 4 0.25 2 0.75 2.05 1.72 40 1 23 0.25 4 0.75 2.06 0.32 80 1 23 0.25 2 0.75 0.57 0.64 40 4 23 0.25 2 0.25 2.08 0.68 80 4 23 0.25 4 0.25 0.59 0.12 40 1 4 24.00 2 0.75 2.010 0.88 80 1 4 24.00 4 0.75 0.511 2.32 40 4 4 24.00 4 0.25 2.012 0.40 80 4 4 24.00 2 0.25 0.513 1.04 40 1 23 24.00 4 0.25 0.514 0.12 80 1 23 24.00 2 0.25 2.015 1.28 40 4 23 24.00 2 0.75 0.516 0.72 80 4 23 24.00 4 0.75 2.017 1.08 0 0 0 0.00 0 0.00 0.018 1.08 0 0 0 0.00 0 0.00 0.019 1.04 0 0 0 0.00 0 0.00 0.0

Paper#60370 | Written in 18-Jul-2015

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