Simple linear regression uses a mathematical model in order to estimate the slopes and intercepts of a predictor variable. This model can be in many forms and are usually fitted using a binomial or multiple linear regression technique. The binomial regression estimates the value of the dependent variable using the known values of the predictor variable and an unknown control variable. For instance, the regression can be “A” can be taken to be the unemployment rate at time t 1 and the intercept to be the change in the unemployment rate from time t 1 to t 2.
Multiple regression is also a kind of regression and is used often in the evaluation of economic theories, e.g., in forecasting the behavior of various firms in a given economic environment. It is usually fitted using a mathematical model in order to estimate the slopes and intercepts of the independent variables. The slope and intercept here refer to the change in the rates of the independent variables while the value of one dependent variable is the value of the corresponding factor that controls the independent variable. For instance, in forecasting the price elasticity of demand, one would use the binomial regression with the dependent variables being the unemployment rate, the level of inflation, the target level of employment, etc., and the main statistical method being the multiple regression.
In addition to multiple regression, another common form of regression is the non-linear regression. This is sometimes fitted using the logistic regression, but it is not necessarily so. Basically, in this kind of regression, the predictor variables are not linear relationships, hence cannot be fitted by a simple linear regression. Instead, they must be non-linearized, and often they are. In such cases, there must be some other procedure undertaken to fit them into a normal (a smoothed) data set.
One other regression procedure is the capital asset pricing model (CAPM). This form of regression is normally used to predict sales, price changes and other aspects of economic activity. The regression techniques employed here are those of the Taylor rule, which are based on a mathematical technique called the logistic regression, and the parabolic regression, which draw its statistical conclusions from data that are geometric in shape. The capital asset pricing model assumes that prices of different assets will be correlated in a certain direction and attempts to quantify the direction of this correlation by means of a log function. It then uses the results of this log function as its predictor of price change.
The other major type of regression model that is used frequently in the field is the graphical logistic regression. In this type of regression, a set of economic variables, say sales figures, is examined. One of these variables is selected as being particularly strongly associated with the other (say, sales price and average price). Once the selected predictor variable is fitted onto a logistic curve, then this curve is used as an empirical function, which gives the estimated slopes of the regression lines for the explanatory variables.
These regression analysis reports provide valuable information to managers, investors, business owners and others who use them to assess the performance of a company or an organization. They are very useful because they allow managers to make decisions regarding the allocation of resources within the framework of a broader objective. For example, in the case of managers looking at ways to improve sales, the association between the dependent and the independent variable can provide a concise picture of the extent to which changes in one of these factors is correlated with changes in the other. This allows managers to make decisions regarding allocation of resources, such as extra buy-in from workers or changes in work policies or sales targets. Likewise, a closely related but more complicated example could illustrate how an association between the independent and dependent variables, such as customer satisfaction, can provide additional information regarding the satisfaction of customers.
Regression analysis can be performed on continuous variables or on a time-dependent variable. Continuous variables are usually those that change only slowly over time, such as income or stock prices. Time-dependent variables, on the other hand, are those that respond rapidly to relatively short-term changes in their values, such as sales growth or consumer confidence. Multiple regression analysis, then, can be performed on time-dependent variables and on a continuous basis; for example, predicting sales growth over the next few months based on the current level of consumer satisfaction. However, it should be emphasized that in this case we are dealing with a mathematical concept and not an intuitive understanding of what should actually happen when data points to a high or low degree of dissatisfaction.
