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

Question

3. 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 wateroil mix electrically. Researchers conducted a series ofexperiments to study the factors that influence the voltage required to separate the water from the oil (y). One study is on the effect of the disperse phase volume (X1), the salinity O2) and the surface concentration CX3). A first-orderlinear) model is fitted to the data and the computer output is shown below. (0 points) ANOVA MS Df SS p value Regression 2 7.11562 3.55 8.9628 0.0022 Residual 12 3.18 0.2646 Total 15 10.2912 Standard Error Coefficients Stat p-value Intercept 0.385 0.6002 0.6415 .256 0.0064 X1 -0.02 0056 3.1880 0.0857 0.17 1.9828 0456 0.46 0.1286 3.5768 0025 a. Based on the output, write down the estimated model. b. Interpret the estimated slope for predictor X2,the salinity.

Explanation / Answer

Part-a

Estimated model is

Y=0.385 -0.021 X1 +0.17 X2+0.46 X3

Part-b

Slope of X2 is 0.17 which means that corresponding to unit increase in salinity there is on an average 0.71 volts increase in the voltage requited to separate the water from the oil , holding X1 and X3 fixed.

Part-c

Model is overall significant as F(2, 12)=8.9628, p=0.0022<0.01

Part-d

We have to test the null hypothesis H0: 2=0 against alternative Ha:2>0

From output two tailed p-value=0.0456

So, one tailed p-value=0.0456/2=0.0228

As p-value>0.01, we do not reject the null hypothesis and conclude that he increase o f the salinity is not accompanied by an increase inn voltage.

Part-e

The coefficient of interaction term has p-value=0.0575

As p-value>0.01, so interaction effect is not significant.

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.