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