A large batch of soil samples was analysed to determine presence of certain polluting agents. For each sample, the quantity of certain pollutantelements was determined and afterwards, Principal Component Analysis was performed with these data.The following is the loadings matrix.PC2PotasiumIronMagnesiumCadmiumPC1PC3PC40.03967 -0.06958 -0.01218 -0.996710.79202 -0.01139 -0.60909 0.03976-0.4302 -0.71979 -0.54336 0.03976-0.43133 0.6906 -0.5776 -0.05832Match each component with its interpretation.PC4 Choose...PC1 Choose...PC2 Choose...PC3A contrast between Iron and the average of Magnesium and CadmiumMostly variable PotasiumA (weighted) average of variables Magnesium, Cadmium, IronA contrast (comparison) between Magnesium and Cadmium

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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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A company has recorded expenditure on advertising and the resulting sales for six months are as follows: Month Expenditure Sales(Y) March 20 170 April 40 240 May 50 260 June 60 300 July 30 220 August 40 250 Required: i. Plot the data on a scatter diagram and commentii. Calculate the line of best fit through the data, and interpret your values of α and βiii. Determine the explanatory power of your systemiv. Forecast sales when advertising expenditure is: 500 and 100 respectively
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