[M] The covariance matrix below was obtained from a Landsat image of the Columbia River in Washington, using datafrom three spectral bands. Let X1. X,, Xz denote the spectral components of each pixel in the image. Find a newvariable of the form yı = c1x1 + C2x2 + C3.X3 that has maximum possible variance, subject to the constraintthat c? + c; +c = 1. What percentage of the total variance in the data is explained by y1?29.6418.385.0018.3820.8214.065.0014.0629.21

Answered: Image /qna-images/answer/5d9c337b-f082-44e2-b2ce-8c8715572629.jpg

Answered: [M] The covariance matrix below was…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Table of critical values shown to the right. Is there sufficient evidence to A data set includes weights of garbage discarded in one week from 62 different hou support the claim that there is a linear correlation between weights of discarded pa Correlation matrix: Variables Paper Glass Click here to view a table of critical values for the correlation coefficient. |Раper 10.3890 Glass 0.3890 1 a = .05 a = 01 4 .950 .990 .878 .959 Determine the null and alternative hypotheses. 6 .811 .917 7 .754 .875 Ho: P 8. .707 .834 9. .666 .798 (Type integers or decimals. Do not round.) 10 .632 .765 11 .602 .735 Identify the test statistic, r. 12 .576 .708 13 .553 .684 r = (Round to three decimal places as needed.) 14 .532 .661 15 .514 .641 Identify the critical value(s). (Round to three decimal places as needed.) 16 .497 .623 17 .482 .606 O A. There is one critical value at r= 18 .468 .590 19 .456 .575 B. There are two critical values at r = ± 20 .444 .561 25 .396 .505 State the conclusion. 30 .361…
An empirical analysis of women in upper management positions at different firms was published in a journal. Monthly data (n=252 months) were collected for several variables, including the number of females in managerial positions, the number of females with a college degree, and the number of female high school graduates with no college degree. Complete parts a and b. a. The correlation coefficient relating number of females in managerial positions and number of females with a college degree was reported as r=0.247.Interpret this result. There is a ________ linear relationship between number of females in managerial positions and number of females with college degree. b. The correlation coefficient relating number of females in managerial positions and number of female high school graduates with no college degree was reported as r=0.041. Interpret this result. There is a ________ linear relationship between number of females in managerial positions and number of female…
1.The least squares estimate of β0 is i. 2.3176 ii. 0.7176 iii. 0.8824 iv. 1.8990 2. The least squares estimate of β1 is i. 0.4773 ii. 0.2990 iii. 0.2061 iv. 0.9265 3. The linear correlation coefficient r is i. 0.4122 ii. 0.1700 iii. 0.2990 iv. 0.5683
A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)

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