{"title":"Linear Models","authors":"","doi":"10.2307/j.ctvx5wb91.5","DOIUrl":"https://doi.org/10.2307/j.ctvx5wb91.5","url":null,"abstract":"Background: To look for a relationship between two varying quantities a common first step is to collect a set of data pairs for the two quantities. Once the data is collected, a scatter plot of the data pairs can be constructed. A scatter plot is simply a graph of points using the data pairs as coordinates. It is natural to ask at this point if there is an equation which explains the appearance of the scatter plot, i.e., an equation whose graph closely matches the scatter plot. This equation is called a mathematical model. Finding such a model allows us to predict the value of one quantity given the corresponding value of the other quantity. It can also yield new insights into the relationship between the quantities. You will find that many of the labs for this course are concerned with the modeling of data.","PeriodicalId":171406,"journal":{"name":"Population Harvesting (MPB-27), Volume 27","volume":" 85","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141219670","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Linear Models","authors":"W. H. Finch, Jocelyn E. Bolin, Ken Kelley","doi":"10.1201/9781351062268-1","DOIUrl":"https://doi.org/10.1201/9781351062268-1","url":null,"abstract":"consistency changes of several variables on the assumption that their empirical values are not identical to \"true\". Such situations arise, for example, because of the presence of errors registration of empirical data, due to the measuring equipment. As a typical example, you can specify the task of identification when determining the coefficients of the linear model of input -output. You may also notice a situation when valuation parameters obtained during the training phase, are used in the processing of data recorded in different time intervals, for example in the problems of pattern recognition or self-compensation interference. In some cases we can speak about models of the interaction (relationship) of the studied processes. Explore the feasibility of using in these conditions the principle of orthogonal projecting of empirical values on the hyperplane defined by a set of analyzed the \"true\" values. Received basic computational formulas for estimating the parameters of linear models of consistency.","PeriodicalId":171406,"journal":{"name":"Population Harvesting (MPB-27), Volume 27","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123419109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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