D]Question 12Given the following data:43504749 56Determine MADa) Σ -mean -a.) Σ οтеаn-b.) MAD(in one decimal value) {2}

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Answered: Given the following data: 43 50 47 49…

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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#2).
Perform PCA or principle component analysis on the following data: х1 x2 x3 810.6 13.4 42.93 1775 24.2 32.319 430.4 5.7 60.434 459.8 9 21.398 802.4 13.9 55.778 279.6 20.4 53.236 288.4 4.6 63.208 152.7 7.3 59.727 253.4 9.9 48.037 358.6 13.5 48.288 72 12.8 36.507 205 5.9 37.195 253.6 15.8 36.964 416.5 12.3 42.83 1075.9 17.1 39.684 Answer the following questions based on the PCA: • How many principle components were created? • What percent of total variance is accounted for by the calculated principal components? (Round to 2 decimal places) • What are the weights for computing the first principle component scores? (Round to 4 decimal places) o x1: • x2: o x3:
Which of the following pairs of variables (attributes listed in parentheses) could be analyzed using a chi-square analysis? [hint: consider the level of measurement for each variable]
Obtain the areas of given z-scores using Table 8.1: 3.45 has area of ________. 2.14 has area of ________. – 1.19 has area of _________. 0.82 has area of ________. – 2.05 has area of _________.
Q.No.2 You are working for the transport manager of a "call centre" which hires cars for the staff. You are interested in the weekly distance covered by these cars. Kilometers recorded for a sample of hired cars during a given week yielded the following data: (8) k.m. covered 80-90 90-100 100-110 110-120 120-130 130-140 140-150 150-160 160-170 No. Of cars (f) 18 2 12 28 45 32 20 2 16 (a) Calculate the median, mode, third decile (D3) and P77. (b) Draw a cumulative frequency polygon (ogive) on graph paper (only) and estimate graphically the number of cars which covered less than 140 k.m in the week. Ancu er
(c)
only b and c, thank you
A score S is used to predict whether a disease is present. If the score is greater than a threshold value, the corresponding person is classified as ill, otherwise as healthy. Here, the scores S; for 9 persons are given. Furthermore, it is known whether the persons are actually ill (Y, = 1) or not (Yi = 0). The data look as follows: S; | Y; 0.3 0 1.2 1 0.7 0.8 1 0.1 0.4 1 1.1 0 0.2 0 1.4 1 (a) Draw by hand the ROC curve for the given data. Explain your procedure and the calcu- lation methods. (b) Calculate the area under the curve (AUC) by hand. Does this value indicate a good or bad classification? (c) Calculate the partial area under the curve (PAUC) if the specificity is to be at least 0.65. How do you judge this value?
Consider the following histogram of a group of males. Number of Males 9 8 7 co 2 1 0 0 10 20 30 40 Ages (years) An estimate of the median ages of group of males is: A. 39.4 B. 40.5 C. 38.2 D. None of the above. 50 60 70 80
None
Compute this measure of central tendency and explain what this means in everyday language. The frequency table is given as: X Frequency proportion percent 0 7 0.35 35% 1 4 0.20 20% 2 3 0.15 15% 3 2 0.10 10% 5 1 0.05 5% 7 1 0.05 5% 8 1 0.05 5% 9 1 0.05 5% Total 20 1 100%
(6 to 9) The level of cretaine phosphokinase (CPK) in blood samples measures the amount of muscle damage for athletes. At Jock State University, the level of CPK was determined for each of 25 football players and 15 soccer players before and after practice. The two groups of athletes are trained independently. The data summary is as follows : For football players: n=25 Before Practice After Practice Difference (Before-After) Mean 254.73 225.6 29.13 Standard deviation 115.5 132.6 21.00 For soccer players: n=15 Before Practice After Practice Difference (Before-After) Mean 177.1 173.8 3.3 Standard deviation 60.7 64.4 6.88 Assume that all the data above are normal, use the information above to answer problem (7) Construct a 95% Confidence Interval for the difference in mean CPK values for football players BEFORE and AFTER exercises.

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Given the following data: 43 50 47 49 56 Determine MAD a) Σ -mean %3D b.) MAD = (in one decimal value) {2}