In the article “Application of Statistical Design in the Leaching Study of Low-Grade Manganese Ore Using Aqueous Sulfur Dioxide” (P. Naik, L. Sukla, and S. Das, Separation Science and Technology, 2002:1375–1389), a fitted model for predicting the extraction of manganese in % (y) from particle size in mm (x1), the amount of sulfur dioxide in multiples of the stoichiometric quantity needed for the dissolution of manganese (x2), and the duration of leaching in minutes (x3) is given as

There were a total of n = 27 observations, with SSE = 209.55 and SST = 6777.5.

a. Predict the extraction percent when the particle size is 3 mm, the amount of sulfur dioxide is 1.5, and the duration of leaching is 20 minutes.

b. Is it possible to predict the change in extraction percent when the duration of leaching increases by one minute? If so, find the predicted change. If not, explain why not.

c. Compute the coefficient of determination R2.

d. Compute the F statistic for testing the null hypothesis that all the coefficients are equal to 0. Can this hypothesis be rejected?

Chapter 5 Notes I. physical vs chemical changes A. physical: composition remains the same, change of state B. chemical: new substance is formed C. chemical reactions: involve chemical changes, atoms are rearranged II. chemical reactions- use formulas and symbols to represent chemical reaction “recipe” A. reactants on the left side of the equation, “ingredients” B. products on the right side of the equation, “cake” C. arrows separates reactants from products D. reactants must equal your products = balanced equation E. to balance an equation: 1.each individual compound must be written correctly before balancing 2. coefficients are used (numbers in front of the compound/