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This chapter introduces the technique of fitting equations to data using least squares. Both unweighted fitting and weighted fitting are considered. Worked examples are included in the chapter. The technique described can be extended to situations where equations have more than two parameters. Discussion is confined to cases where there is a linear relationship between x and y and the errors in measured quantities are limited to the y quantity.
Graphs are a powerful and concise way to communicate information. Representing data from an experiment in the form of an x-y graph allows relationships to be examined, scatter in data to be assessed and allows for the rapid identification of special or unusual features. A well laid out graph containing all the components discussed in this chapter can act as a 'one stop' summary of a whole experiment. Someone studying an account of an experiment will often examine the graph(s) included in the account first to gain an overall picture of the outcome of an experiment. The importance of graphs, therefore, cannot be overstated as they so often play a central role in the communication of the key findings of an experiment. This chapter contains many examples of graphs and includes exercises and end of chapter problems which reinforce the graph-plotting principles.
In rural Minnesota, it is common for paramedics providing advanced life support (ALS) to rendezvous with ambulances providing only basic life support (BLS). These “intercepts” presumably allow for a higher level of care when patients have certain problems or need ALS interventions. The aim of this study was to review and understand the frequency of para-medic intercepts with regard to the actual care rendered and transport urgency (lights and sirens vs. none).
Methods:
All paramedic intercepts occurring between January 2003 and December 2007 for one multi-site emergency medical services (EMS) provider were reviewed for ALS interventions and treatments provided. In addition, the urgency of responses to the dispatch call or “intercept” and transport to a receiving facility were analyzed.
Results:
During the study period, 1,675 paramedic intercepts occurred and were reviewed. The ALS ambulances responded to the dispatch emergently (lights and sirens) in 97.5% of intercepts (1,633), but emergently transported only 24.2% of the patients (405). Paramedics performed no interventions above BLS levels in 11.6% (194) of the cases. Of the remaining 1,481 patients who received ALS interventions, 955 (64.4%) received no treatment or diagnostic testing other than electrocardiographic monitoring, intravenous access, or both.
Conclusions:
A significant discrepancy between emergent responses and actual ALS care rendered during intercept calls was demonstrated. Given the significant rate of EMS worker fatalities and transferable patient care costs, further study is needed to determine whether costs and safety are potentially improved by decreasing emergent responses. Future directions include developing or emulating Medical Priority Dispatch System triage protocols for advanced services providing intercepts. In addition, further study of patient outcomes between intercept and non-intercept cases is necessary.
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