need correctly 1 -2-1 -1 0,For a normalized 2-D data set X =%3|(a) If X need to be transformed to a new co-ordinate system for capturing maxi-mum variance, what will be percentage of variance captured by each directionsof that co-ordinate system(b) Compute the corresponding directions of maximum variance(c) Transform X to those co-ordinates that capture at least 95% of the variance.3.

As per the question we have the co 2D data set : xi 1 -2 1 yi -1 -1 0 To find the maximum…

Answered: -2 For a normalized 2-D data set X = -1…

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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Q3 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 3% -2% 9% 6% -1% -4% 11%Stock Y 1% -4% 7% 12% 3% -2% -1% Consider a portfolio of 20% stock X and 80% stock Y. What is the (population) variance of portfolio returns? Please round your answer to six decimal places.
Consider an MA(2) model: STEPS -Write the equation of the M(2) model-Determine the model based on the delay operator.- Find the expected value of the model- Find the variance of the model.- Find the covariances associated with 1,2, and s steps.- Find the associated correlation indices of 1,2, and s steps.- Assume that information is available up to time $h$ and the function that contains the accumulated information f(h, h-1,……), determine the forecasts and the error associated with 1,2, and s steps.
A sample of 36 male lions had an average weight of 450kg with a variance of 70. A sample of 149 female lions had an average weight of 250kg with a variance of 40. A sample of 42 male tiger found an average wight of 550kg with a variance of 55. A sample of 72 female tigers found an average wight of 450kg with a variance of 48. Test the hypothesis that there is no difference between the difference between male and female lions and male and female tigers and what is the p-value?
(a) In each Australian capital city, a large retail chain has several stores, including in Brisbane and Perth. An analysis of the variations in profits from each of these cities indicates that the variance of monthly profits in Brisbane is about 2570(k$)^2 and the variance of monthly profits in Perth is about 1789(k$)^2 . A comparison of the difference in profits between the two cities indicates that the variance of the monthly difference in profits between these cities is about 1253(k$)^2 . (i) Calculate the covariance between the two cities' monthly profits using this information. (ii) Find the correlation (ρ) between the monthly profits in these two cities. (b) Quality control staff wish to estimate what proportion p of the resistors made in their factory are scrapped due to defects. Based on a random sample of n = 750 resistors from the production line, they calculate the scrapped resistor proportion to be ˆp = 0.016. Use this information to determine an approximate range a. This…
(a) In each Australian capital city, a large retail chain has several stores, including in Brisbane and Perth. An analysis of the variations in profits from each of these cities indicates that the variance of monthly profits in Brisbane is about 2570(k$)^2 and the variance of monthly profits in Perth is about 1789(k$)^2 . A comparison of the difference in profits between the two cities indicates that the variance of the monthly difference in profits between these cities is about 1253(k$)^2 . (i) Calculate the covariance between the two cities' monthly profits using this information. (ii) Find the correlation (ρ) between the monthly profits in these two cities. (b) Quality control staff wish to estimate what proportion p of the resistors made in their factory are scrapped due to defects. Based on a random sample of n = 750 resistors from the production line, they calculate the scrapped resistor proportion to be ˆp = 0.016. Use this information to determine an approximate range a. This…
SOLVE STEP BY STEP IN DIGITAL FORMAT XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 6. A company produces machined engine parts that are assumed to have a variance in diameter of no more than 0.0002 (diameters measured in inches). A random sample of ten pieces gave a sample variance of 0.0003. Try, with level 5%, H0 : s2 = 0.0002 against Ha : s2 > 0.0002
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In a production process, the time (in minutes) taken (run time) for a production run and the number of items produced (run size) for 15 randomly selected orders are analyzed using Minitab statistical software. The Minitab output is as follows: Regression Analysis: Run time versus Run size Analysis of Variance Source DF Adj SS Adj MS F-Value Critical value Regression 1 8737.1 8737.1 29.35 ……… Error 13 3870.5 297.7 Total 14 12607.6 Model Summary S R-sq R-sq(adj) R-sq(pred) 17.2549 ……. 66.94% 61.32% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 148.4 11.3 13.13 0.000 Run size 0.2627 0.0485 ……. ……. 1.00 1- Write down the least square regression equation to predict the run time for run size. 2- Interpret the coefficients of the fitted model. 3- At 5% significance level, test if run size is a good…
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2. Five 2 cm thick experimental pieces of an insulation material were tested atrandom. Resulted compression (y) was measured recorded for the given amount ofmeasured pressure. The data are listed below:Pressure Compression1 12 23 24 35 5Fit a simple linear model relating compression y to the applied pressure x and find:a) error variance.b) the coefficient of correlation.

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