Investigation of the Relationship Between Physical and Mechanical Properties of Marble by Regression Analysis

Determining the physical and mechanical properties of marble are very important in the design of construction and mining projects. In this study, ten marble samples collected from different parts of Turkey were tested in the laboratory for uniaxial compressive strength, flexural strength, density, water absorption, and porosity. Then, using different simple regression analysis models, the relationship between uniaxial compressive strength and flexural strength with density, water absorption, and porosity was investigated. As a result, equations with strong and very strong correlation coefficients with low standard errors have been obtained, such as R2=0.81 for UCS-density, R2=0.66 for UCS-water absorption, R2=0.65 for UCS-porosity, R2=0.70 for flexural strength and density, R2=0.66 for flexural strength–water absorption and R2=0.68 for flexural strength-porosity.