1. Do all the same as the popcorn example and the regression model for the below table. \ Also: Predict if A=costly, B=5 min and C=85% what is the Y STD order A B C AB AC BC ABC Y 1 + + + 56 2 + + + 72 - 3 + + + 42 4 + + + 84 5 + + - + 65 6 + - + + 78 + 7 + - + 38 8 + + + + + + + 89 Effect 30.5 -4.5 4 16 1.5 -3.5 3 100-14.28% 7 Point Effect Porfolie Abs. Volume Cumulation 1 AB 1161 7.14% 2 A 130.51 21.43% 3 ABC 131 357% 4 AC 11.51 50.00% 5 C 141 64.291 6 B 1-4.51 78.57% 7 BC 1-3.5 92.86% Normal % Probability 92.86 78.57 64.29 50.00 35.71 21.43 7.14 Figure 3-3. Blank half-normal paper (set up for plotting 7 effects)
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2. A corporation is interested in estimating the total earnings from sales of color television sets at the end of a 3-month period. The total earnings figures are available for all districts within the corporation for the corresponding 3-month period of the previous year. A simple random sample of 13 district offices is selected from the 123 offices within the corporation. The resulting data are shown in the table below: Office | Three-month data from previous year, xi | Three-month data from current year, yi | Office | Three-month data from previous year, xi | Three-month data from current year, yi ---|---|---|---|---|--- 1 | 550 | 610 | 8 | 1200 | 1440 2 | 720 | 780 | 9 | 1350 | 1570 3 | 1500 | 1600 | 10 | 1750 | 2210 4 | 1020 | 1030 | 11 | 670 | 980 5 | 620 | 600 | 12 | 729 | 865 6 | 980 | 1050 | 13 | 1530 | 1710 7 | 928 | 977 | | | a. Obtain a scatter plot for yi versus xi and fit a simple linear regression. What estimator does the model suggest? Explain. b. Estimate the mean (Y bar) earnings for offices within the corporation and place a bound on the error of estimation using the estimator suggested by (a). c. Estimate the total earnings (Y) and place a bound on the error of estimation using the estimator suggested in (a). (Hint: for (b) and (c), the answer is either the ratio estimator or the regression estimator or the difference estimator. Take X = 128,200).
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