2. In the oil industry, water that mixes with crude oil during production and tr

Question

2. In the oil industry, water that mixes with crude oil during production and transportation must be removed. Chemists have found that oil can be extracted from the water/oil mbx Researchers conducted a series of experiments to study the factors that influence the voltage required to separate the water from the oil (v).One study is on the effect of the disperse phase electrically volume CX1), the salinity (X2) and the surface concentration (XC3). A first-order (linear) model is fitted to the data and the computer output is shown below (10 points) ANOVA Df MS p value Regression 2 Residual 12 Total 7.11562 3.18 10.2912 3.55 15 Coefficients 0.385 Intercept Xi X2 X3 Standard Error 0.6002 0.0064 0.0857 0.1286 t Stat 0.6415 3.1880 006 0.17 0.46 1.9828 3.5768 0456 0025 a. Based on the output, write down the estimated model b. Interpret the estimated slope for predictor X2, the salinity c. Is the model overall significant (alpha-0.01)

Explanation / Answer

Solution: Since P-value for interaction X1*X3 (0.0575) is greater than the significance level 0.01, therefore we conclude that there is sufficient evidence to indicate that this interaction is significant. The presence of this significant interaction indicates that the effect of X1 predictor variable on the response variable y is different at different values of the X3 predictor variable.

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