4. The Cov(x, y,) between x and y for thefollowing data :Ex, =15, Ey, = 36, Exy; =110,%3|%3D%3Dn = 5 is :%3|

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Answered: 4. The Cov(xr, y,) between x and y for…

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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Q1. The values of X and Y are given in the following table. X0235 8. Y 157 11 | 17 = 18. Y = 41, xY 222, > x² = 102, > Yy² X = 485 a) Find the Coefficient of Correlation b) Find the Coefficient of Determination and Coefficient of Non-Determination? c) Calculate the line-of-best- t (linear regression line) Ý = a + bX, d) If x = 8, estimate the response y.
1 AA 44%1 8:02 PM Math-8-Q3-Week-4 - Saved 3. ДРОТ ASRT La PQ = SR, PT = ST [SAS] R _b. PQ = SR, PT = ST [SSS] c.ZP= ZS, ZPQT = ZSRT [ASA] CHERY A. TAMONDONG MATH 8 QUARTER 3 WEEK 4 Page 6| 10 Activity 3 Illustrate Me If EC = BP,ES = B],CS = PJ then A ESC E A BJP. Draw the triangles and mark the congruent parts using SSS Congruence Postulate. Activity 4 Mark Me Corresponding congruent parts are marked. Given the triangle congruence postulate or theorem, mark the additional corresponding parts needed to make the triangles congruent. 1. SS 4. SAS А D P M 2. ASA C B F E A 5. AAS G I F B T A D 3. ASA L M N 7 of 10 Activity 5 Complete Me
2
Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: y USE SALT 2= Σχ = 15; Σy = 88.3; Σx2 = 55; Σy2 = 1,594.89; Σxy = 275.8 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.) X= y = b= ŷ= (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 22 20 18 16 14 12 10 0 y 22 20 14.4 18 y 22 VX 20 18 16 14 12 10 5 1 (c) Find the sample correlation coefficient r and the coefficient of determination 2. (Round your answers to three decimal places.) 16 14 12 5 2 3 4 19.9 14.4 19.6 20.0 1 1 2 2 3 3 4 4 5 22 6 20 18…
12:08 AT&T * 4 all 65% 3. RT = 22 and US = 18 VT = R UV = RS = ST = U II
Given the Z scores of: -1.5, 0.52, -1.0, 1.7 and 3.0: 1. Calculate the raw skewness and kurtosis scores for these data. 2. Calculate the standard error scores for skewness and kurtosis for these data. 3. Calculate the Z scores for skewness and kurtosis for these data.
From 8 observations the following results were obtainedΣXΣ =544, ΣY =552, ΣXY = 37560, ΣX^2 =37028, ΣY^2 =38132. Find i) the correlation co- efficient, ii) and, state the relationship, iii) the regression line equation = Y=mX+bY=mX+b
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4. Let X - N(u, o²). The characteristic function (ch.f.) of X is given by $(w) = ejHw-o?w?/2, W E R, where j = v-1 is the imaginary unit. Use the ch.f. to find the mean and variance of X.
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 983 922 y 40 100 65 145 78 150 Use a calculator to verify that Σx = 5811, Σx2 = 5,633,303, Σy = 578, Σy2 = 65,434 and Σxy = 552,689.COMPUTE R
Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram. 5.95 (0, 1) (-1, 0) (1, 0) a Find Cov(Y1, Y2). b Are Y1 and Y, independent? (See Exercise 5.55.) Find the coefficient of correlation for Y1 and Y2. d Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why not?
Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 37% of all fatal accidents of 17-year-olds are due to speeding. x 17 27 37 47 57 67 77 y 37 28 19 12 10 7 5 Complete parts (a) through (e), given Σx = 329, Σy = 118, Σx2 = 18,263, Σy2 = 2832, Σxy = 4076, and r ≈ −0.957. (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained…

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4. The Cov(xr, y,) between x and y for the following data : Σ-15 Σy= 36, Σxy 110, X; 7 = 5 is :