NUmerical analysis Solve the system of equations,5x12x₂ + x3 = 4,7x₁ + x₂-5x3 = 8,3x₁ + 7x2 + 4x3 = 10,using Gauss-elimination method.

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Answered: 5x12x2 + x3 = 4, 7x1 + x2-5x3 = 8, 3x₁…

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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Define Regression Methods?
Solve for only b and f Education and mortality The software output below isbased on the mortality rate (deaths per 100,000 people)and the education level (average number of years inschool) for 58 U.S. cities.Variable Count Mean StdDevMortality 58 942.501 61.8490Education 58 11.0328 0.793480Dependent variable is: MortalityR-squared = 41.0%s = 47.92 with 58 - 2 = 56 degrees of freedoma) Comment on the assumptions for inference.b) Is there evidence of a strong association between thelevel of Education in a city and the Mortality rate? Testan appropriate hypothesis and state your conclusion.c) Can we conclude that getting more education is likely(on average) to prolong your life? Why or why not?d) Find a 95% confidence interval for the slope of thetrue relationship.e) Explain what your interval means. *f) Find a 95% confidence interval for the averageMortality rate in cities where the adult populationcompleted an average of 12 years of school.
differntiate question 3,4 and 5
Quantitative type of data can only be used in quantitative type of research True False
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Interpretation of the estimated coefficients of a Linear Regression Equation
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Using R-Studio, estimate a regression equation to determine the effect of the real interest rates, the exchange rate and the GDP growth rate on the Merchandise trade (% of GDP). (All codes and regression output should be provided). NOTE: R-Studio should only be used for obtaining the regression output and the regression equation. (i) Write down the regression equation. Year Merchandise trade (% of GDP) Real interest rates (%), GDP growth (annual %) Official exchange rate (per US$). 2000 150.28 10.05 -1.4 182.43 2001 149.12 16.63 2.3 187.32 2002 144.60 13.36 1.1 190.67 2003 146.56 9.81 -0.6 193.88 2004 157.91 7.27 1.6 198.31 2005 162.57 6.42 -2 199.88 2006 62.06 -58.33 5.1 200.19 2007 63.64 5.91 7.2 202.35 2008…
quesion 5

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5x12x2 + x3 = 4, 7x1 + x2-5x3 = 8, 3x₁ + 7x₂ + 4x3 = 10,