Medical researchers tested a new method of typing blood using low-cost paper. The researchers applied blood drops to the paper and recorded the rate of absorption(called blood wicking). The table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x =antibody concentration.DropletLengthConcentration122.500.0216.000.2313.500.414.000.6513.750.8612.501.0(1) Give the equation of the fitted regression model.b1: (Round off to 4 decimal places)bo: (Round off to 4 decimal places)(2) Test the hypothesis that the Bo = 20 versus Bo < 20 using a=0.1.Test Statistic (Round off to 2 decimal places):Conclusion:(Type 'Reject HO' or 'Fail to Reject HO')(3) Construct the ANOVA table to test Bo = 0 versus Bo + 0 using a=0.05. (Show in Solution)(4) Find the coefficient of determination. (Round off to 4 decimal places)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines was reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article “Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are provided on the WeissStats site. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probability plot of the residuals. c. decide whether you can reasonably consider Assumptions 1–3 for regression inferences met by the two variables under consideration.
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PLEASE SHOW COMPLETE SOLUTION.
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Wolf packs tend to be large extended family groups that have a well-defined hunting territory. Wolves not in the pack are driven out of the territory or killed. In ecologically similar regions, is the size of an extended wolf pack related to size of hunting region? Using radio collars on wolves, the size of the hunting region can be estimated for a given pack of wolves. Let x represent the number of wolves in an extended pack and y represent the size of the hunting region in km2/1000. The following data are representative of one of the national parks. x wolves 29 37 22 61 94 y km2/1000 7.35 12.18 8.15 15.39 16.81 (a) Verify that Σx = 243, Σy = 59.88, Σx2 = 15,251, Σy2 = 788.2256, Σxy = 3362.04, and r ≈ 0.9135. Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 1.9804, a ≈ 5.5942, and b ≈ 0.13131. Se a b
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