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Removing oil from a water/oil mix. In the oil industry, water that mixes with crude oil during production and transportation must be removed. Chemists have found that the oil can be extracted from the water/oil mix electrically. Researchers at the University of Bergen (Norway) conducted a series of experiments to study the factors that influence the voltage (y) required to separate the water from the oil (Journal of Colloid and Interface Science, August 1995). The seven independent variables investigated in the study are listed in the table below. (Each variable was measured at two levels-a ''low'' level and a ''high'' level.) Sixteen water/oil mixtures were prepared using different combinations of the independent variables; then each emulsion was exposed to a high electric field. In addition, three mixtures were tested when all independent variables were set to 0. The data for all 19 experiments are also given in the table.
(a) Propose a first-order model for y as a function of all seven independent variables.
(b) Use a statistical software package to fit the model to the data in the table.
(c) Fully interpret the β estimates.
(d) Find and interpret s.
(e) Find and interpret R2.
(f) Conduct a test of overall model utility.
(g) Do you recommend using the model in practice? Explain.
2. The producers of a new toothpaste claim that it prevents more cavities than other brands of toothpaste. A random sample of 60 people used the new toothpaste for 6 months. The mean number of cavities at their next checkup is 1.5. In the ge..
In a normal distribution of measurements having a mean of 500 feet and a standard deviation of 50 feet, what percent of the distribution falls between 490 and 520 feet?
A real estate agent wishes to determine the selling price of residences using the size (square feet), and whether the residence is a condominium or a single-family home. A sample of 20 residences was obtained with the following results: x 233 10 24 5..
The following data represents the grades of a sample of 12 students in statistics and economics as follows Math grade A C B B D B F F D C B C Economic Grade B F ..
Let x equal the number of the eight randomly selected patients whose symptoms are significantly relieved. What distribution describes the random variable x? Explain.
Find and write out the regression line - What is the Coefficient of Determination? What is the Coefficient of Determination adjusted for degrees of freedom?
(a) Determine coefficient of multiple determination. (b) ANOVA (c) Test for significance for each values.
Can the company rely on the fact that the strength of the chemical is identical from batch to batch and from barrel to barrel and what is the mean strength of the chemical in these stored barrels? How prccisc is that estimate?
Use a classical multiplicative decomposition to calculate the trend-cycle and monthly seasonal indices. Do the results support the graphical interpretation from part (a)?
1. Discuss the following concepts and give examples from everyday life in which you might encounter each concept. Hint: For instance, consider the experiment of arriving for class. Some possible outcomes are not arriving (missing class), arriving on ..
Create a scenario based on your work, school, home or other place and describe how you could use the knowledge and skills you've developed in the class to help answer a question or solve a problem.In a minimum of 500 words create a scenario us..
HI6007 Assessment - What does the relevant literature in the field indicate about this problem? VARIABLES AND HYPOTHESES:
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