Linear Model and Nonlinear Model Essay Example | Topics and Well Written Essays - 2000 words

Linear Model and Nonlinear Model - Essay Example This model can then be used in predicting the dependent variable values based on the independent variable values. In measuring the association strength between X and Y variables, correlation analysis is applied. Generally, when plotting for the line of best fit, the concept of the least squares is applied. Interpretation of the slope of the line of best fit is usually done in algebra i.e. -0.008/1. The slope represents a ratio that exists between the Y and X variable in that a change in Y per change in X is represented by the ratio. From the equation above, As the X- variable value increases by 1, the Y-variable value decreases by 0.008. In the context of the question, as the years increases by 1, the winning times of the Summer Olympics, 200m Breaststroke women swimming decreases by 0.008. This implies that the units of the slope of the line are determined by the units of the Y-variable per the units of the X-variable. The Coefficient of determination (R squared) is an indication of how well the points of data fit on a regression line. In most cases, the main role of the R squared in statistical models is to predict future outcomes or to test for the hypotheses. This coefficient is used to determine how proportionate the variance of one variable is from another from the model. Usually, the value should range between 0

Philadelphia Essay Example | Topics and Well Written Essays - 750 words

Philadelphia - Essay Example During the Gettysburg Campaign of 1863, numerous other battles were fought in Pennsylvania. A cavalry raid 1864 ended with the flattening of Chambersburg. The Confederate States Army occupied the city of York, which was the largest city in the North they had occupied. Pennsylvania also contributed quite a number of generals and politicians during the war; some of them include George G. Meade who was the victor of Gettysburg, Winfield S. Hancock, Simon Cameron John F. Reynolds and Thaddeus Stevens who among the Radical Republicans was prominent and outspoken(Wikipedia, n.d., para. 4). Ways in which the commemoration of the civil war can be carried out would be at the Gettysburg National Military Park. Here there can be rangers to stage a living history camp with demonstrations and programs for adults and children. There can be battalions of both Union and Confederate forces complete with artillery. Re-enactors can gather so as to reflect the actual history with all the features such as battle re-enactments, demonstrations and encampments, civilian interpreters and horses and cannons. one event that could be a highlight of the event would be a ceremony to commemorate the †Gettysburg Address† by Abraham Lincolnat the Soldier’s National Cemetery. There can be events at Harrisburg which is just a short stretch from Gettysburg where we have The State Museum of Pennsylvania. This contains collections which before had been displayed at the Civil War Road-show that has now been retired. Also contained in the museum is the infamous epic painting by Peter Frederick Rothermel â€Å"Battle of Gettysburg: Picket’s Charge†. It also contains a collection of swords used during the Civil War acquired recently which are objects linked with The United States Colored Troops (Klein, 1980). The National Civil War Museum, also located in Philadelphia, contains rare artefacts and archived pieces from the South and North with recent sesquicentennial