Linear Regression Modelling of Actual and Designed Angles of a Four Bar Linkage using MATLAB

Abstract

The study, linear regression modeling of actual and designed angles of a four bar linkage through MATLAB approach was successfully carried out. The researchers considered actual and designed angles data gotten through Simulink modeling and simulation in the MATLAB command window. The linear regression modeling was achieved using designed angles of +30, +30, -23 and 0 degrees with the corresponding actual position angles of -92.4196, -223.375, 0, +101.66 degrees. The correlation coefficient of -0.7022 and p-value coefficient of 0.2978 from data analysis indicated that there is negative and significant relationship between actual angle and designed positions angles; however, the linear graph showed some region of positive relationship. MATLAB analysis also computed the linear regression model between actual and designed positions angles. The root mean squared error was observed to be 121 with standard error of 65. 234. The P-value 0.2978 and degrees of freedom 2 of the linear regression model generated are consistent with the P-value and degrees of freedom of ANOVA model, that proves correctness of the model. The researchers made the following recommendations: To avoid failure of machines and mechanisms and to minimize operational noise, actual position angles of links must be computed before linkage configuration is carried out, this research can also be done in future using other advanced software for generalization.