Let the data be x1, xn. Suppose that each data-point xi is normally distributed, with unl mean 0 and standard deviation assumed to be equal to 1. As a prior distribution for 0, we as normal distribution with mean 5 and standard deviation 10 (a) What is the posterior distribution for 0?

Let the data be x1, xn. Suppose that each data-point xi is normally distributed, with unl mean 0 and standard deviation assumed to be equal to 1. As a prior distribution for 0, we as normal distribution with mean 5 and standard deviation 10 (a) What is the posterior distribution for 0?

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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14. The following data shows the amount of soft drinks of 50 bottles. 2.109 2.086 2.031 2.029 2.066 2.075 2.065 2.057 2.052 2.044 2.036 2.038 2.025 2.029 2.023 2.020 2.015 2.014 2.013 2.014 2.012 2.012 2.012 2.01 2.005 2.003 1.999 1.996 1.997 1.992 1.994 1.986 1.963 1.957 1.975 1.951 1.951 | 1.947| 1.941 | 1.941 | 1.938 1.984 1.981 1.973 1.971 1.969 1.967 1.966 1.908 1.894 a. Construct a distribution frequency table and an ogive. b. Does the amount of soft drink filled in the bottles concentrate around the specific values?
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.x 23.8 19.1 17.5 14.9 19.0 17.5y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)x = y = y hat = _____+ ____x
147.4 172.8 193.4 219.4 255.1 260.5 261.1 263.4 324.8 303.2 311.2 324.8 348.8 352.4 352.4 352.4 354.1 368.8 368.9 372.6 373.1 373.4 374.2 380.4 382.8 383.4 389.9 391.2 391.2 394.7 398.2 403.4 408.8 410.7 421.1 424.1 428 440.3 447.7 450.6 460.3 460.3 460.3 475.8 479.4 484.3 489.7 563.6 569 613.8 625.2 637.5 638.3 655.3 665.3 Frequency 1 18 16 14 12 10 8 6 4 2 100 150 200 250 300 350 400 450 500 550 600 650 700 a. Find the minimum for this data set. minimum = 1 = b. Find the first quartile for this data set. Q₁ length (cm) = c. Find the median for this data set. Median = d. Find the third quartile for this data set. Q3 Submit Question e. Find the maximum for this data set. maximum =
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5. 6. 1 5 7 6 5 1 5 7 2 8 6 4 1 9 8 5 6 7 4 4 1 9 3 3 6 8
y 67.7 21.7 184.2 73.9 64.2 19.6 73.1 31.9 86.8 28 83.7 24.8 58.5 8.8 84.9 38.4 78.5 10.7 67.8 39.5 52.5 23.7 49 22 74.4 10 82 29.4 77.4 19.3 82.8 28 72.4 11.4 79 23.7 85.6 48.7 65.2 17.4 79.2 16.2 107.8 49 69.4 19.7 79.1 31.7 82.1 14.6 75.9 29.4 Make a scatter plot of this data. Which point appears to be an outlier? |(184.2,73.9) (Enter as an ordered pair.)
Female: 15 14.85 15.2 14.25 13.85 13 13.6 13.7 14.05 12.7 14.05 13.65 13.25 13.25 13.55 12.95 13.55 13.05 11.85 13.2 11 13.8 12.25 12.1 12.1 11.6 11.9 12.05 10.75 11.2 10.55 11.1 10.45 9.6 13.85 14.25 14.8 14 14.5 13.75 13.55 12.55 13.2 13.7 13.35 13.25 12.95 13.4 13.35 13.3 12.3 13.55 12.8 12.4 13.1 12.3 12.6 12.65 11.9 10.2 12.05 11.7 10.4 10.75 9.8 9.6 10.75 9.75 9.55 9.05 14.65 14.2 15.35 14.6 14.3 14.75 13.65 13.7 14.25 13.8 14.1 13.6 14 14.25 13.2 14.4 13.25 13.7 13.15 13.05 13.45 12.4 13.3 12.75 12.2 12.6 11.55 11.6 11.6 10 10.9 10.35 11.75 11.3 10.3 10.9 Male: 13.55 13.75 13.5 14.25 13.35 13.85 13.5 13.1 12.8 12.35 13.25 10.6 12.6 13.35 13.5 13.55 12.9 11.8 13.05 13.4 12.05 11.05 11.8 11.8 11.9 12.35…
5. The graph below shows the LFPR for 25-54 year old men over several decades. Percent 100 May-16 98 96 94 92 90 88 86 1948 1954 1960 1966 1972 1978 1984 1990 1996 2002 2008 2014 Source: Bureau of Labor Statistics, Current Population Survey; CEA calculations. (Source: Voxeu.org) It shows that the fraction of these "prime working age men" who are NOT in the labor forced has a. doubled b. tripled c. quadrupled d. not changed
5
12. x: 471.7 659.3 740.5 790.5 781.3 1047.3 969.5 1206.1 y: 446.3 680.2 725.2 765.3 740.4 1005.6 936.3 1156.8 Using the data find the y mean 219.60 833.28 205.42 807.01
5.54 1.88 25.31 7.31 13.90 5.82 2.61 3.95 192.84 17. 40 25.19 7.45 10.15 15.58 2.66 4.33 84.66 15.42 25.79 6.23 25.86 12.03 20.28 4.61 33.46 13.03 20.74 6.44 Skipped 9.10 8.15 8.94 4.79 1.22 4.33 3.71 0.93 4.79 4.56 1.29 2.06 picture Click here for the Excel Data File (a) Select the correct histogram for the above data. Histogram A Histogram B Histogram C Histogram 40 Histogram 35 40 Histogram 30 35 40 25 30 35 20 25 30 15 20 10 15 5 10 15 160 180 Compensation 160 180 Compensation 160 180 Compensation Histogram A Histogram B Histogram C (b) Describe the shape of the histogram. O The distribution is symmetric. O The distribution is skewed to the left. O The distribution is skewed to the right. (c) Identify any unusual values. (Round your answers to 2 decimal places.) Unusual values million million Percent Percent Percent