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.
You are interested in the relationship between gender and violent victimization. You have the data below: Victimization No Yes Total Gender b. Interpret Lambda. Male 150 50 200 Female 190 10 200 Total 340 60 400 a. Calculate Lambda. If needed, take a picture of your work and insert directly into the workspace.
12
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
A student is concerned with the amount of air pollution students are exposed to in the school's parking lot after school. The student conducts an investigation to compare the quantity of particulate matter released from the diesel-powered buses, natural gas-powered buses, and the large and small cars as they idle waiting to pick up students. To make measurements, a small piece of white fabric is used to collect particulate matter from the tailpipe of each vehicle as it idles for five minutes. Each piece of fabric is then analyzed to measure the amount of particulate matter it collected. (i) Identify the independent variable in the investigation. (j) Identify one variable that was not mentioned in the description that could affect the results of the investigation. (k) Describe a realistic alternate sampling method to collect particulate matter from the vehicles in the investigation. (1) The student wants to ensure that the results are reliable. Explain how the student could modify the…
Find the appropriate value of t for 95% CI with n=31.
The horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp): rpm 1100 1400 1700 2300 2700 3200 3500 4000 4600 5200 5600 6100 Horsepower (bhp) 50.2 64.29 67.83 98.56 131.09 163.65 161.55 198.62 226.03 254.71 283.63 299.81 The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm 22 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp. Given Values: a) Slope: 0.052 b) Intercept: -11.694 c) 95% Confidence Interval when the standard error of the estimate of the slope coefficient was found to be 0.001160: (0.0494, 0.0546) please answer the following: Part e)Without extending beyond the existing range of speed values or changing the number of observations, we would expect that increasing the variance of the…
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