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Physical Sciences Potassium ferricyanide crystals are used for etching and in eloctroplating…

Physical Sciences Potassium ferricyanide crystals are used for etching and in eloctroplating applications. Many factors affect the crystal growth and therefore the size of these crystals. These factors include the solubility of the compound and the evaporation process. An experiment was conducted to determine whether the weight of the final crystal (y, in grams) is affected by the amount of initial solid (x1, g), the amount of water (x2, ml), and/or the temperature of the water (x3, °F). Minitab was used to analyze the data and to estimate the regression coefficients in the model Physical Sciences Potassium ferricyanide crystals are used for etching and in eloctroplating... A portion of the output is shown below.

Physical Sciences Potassium ferricyanide crystals are used for etching and in eloctroplating...

a. Complete the ANOVA table and conduct a model utility test.

b. Use the output to determine which of the three predictor variables contributes to the overall significant regression.

c. Suppose x*1 5 (93, 200, 100) and x*2 = (100, 220, 140). The predicted value for each is given in the Minitab output, along with the standard error of each estimate (SE Fit). For example, sY*1 = 1.05782. Find a 95% confidence interval for the true mean value of Y when x = x*1. Find a 95% confidence interval for the true mean value of Y when x = x*2 .

d. Find a 95% prediction interval for an observed value of Y when x = x*1. Find a 95% prediction interval for an observed value of Y when x = x*2.

e. Why do you suppose sY* Y*2?