[M] A Landsat image with three spectral components was made of Homestead Air Force Base in Florida (after the basewas hit by hurricane Andrew in 1992). The covariance matrix of the data is shown below. Find the first principal componentof the data, and compute the percentage of the total variance that is contained in this component.164.1232.7381.0432.73539.44249.1381.04249.13189.11

Answered: Image /qna-images/answer/3d7037f2-710a-4c66-8dcb-7e1c32c670b0.jpg

Answered: [M] A Landsat image with three spectral…

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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Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value usingalphaαequals=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?Lemon Imports 230, 264, 358, 481, 530Crash Fatality Rate 15.8, 15.6, 15.4, 15.3, 14.9The linear correlation coefficient r isNext calculate the test statistic tThe P-value is
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income Justice Salarv 65.0 403.0 1567.01132.0 274.0 254.0 111.0 153.0 33.0 60 24 25 29 44 92 58 45 19 AJustice Salary 100- 504 AJustice Salary 100- 50 +++++ toot THE T ...... Q AJustice Salary 100- 50 . HI AJustice Salary 100- 50 =677 e 0
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.5 9.6 9.3 8.7 8.2 Weight 115 193 237 196 198 186
Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
The following calculator screenshots show the scatterplot and the correlation coefficient between the number of days absent and the final grade for a sample of college students in a general education statistics course at a large community college. LinRegTTest y=a+bx 8#0 and P#0 tb=-2.827272727 s=3.067320418 r2=.8975572812 r=-.9473949974 The relationship between "days absent" and "final grade" can be described as O A strong negative linear relationship De O A weak negative relationship A strong positive linear relationship O A moderate positive linear relationship IS
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Calculate the Spearman's rank correlation coefficient between the following two sets of data: X = [3, 5, 4, 7, 6] Y = [2, 4, 3, 8, 7]
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a = 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.2 7.5 9.8 9.3 8.9 8.1 Weight 119 172 248 201 205 181 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. В. OC. D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- 100+ 1004 100- 100+ 10 7 10 7 10 7 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient is r= (Round to three decimal places as needed.) The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute…
8
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Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 7.6 9.7 9.4 8.8 8.2 Weight 111 198 246 204 202 185 Construct a scatterplot. Choose the correct graph below. (inserted as picture) The linear correlation coefficient is r=__________ (Round to three decimal places as needed.) The critical values are r= (_______,________) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the absolute value of the linear correlation coefficient is (greater,less than, equal to) than the positive…
Five observations taken for two variables follow. xi 4 5 12 4 13 yi 50 50 30 50 20 Compute the sample covariance (to 1 decimal and enter negative value as negative figure). Compute the sample correlation coefficient (to 3 decimals and enter negative value as negative figure)

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