A non-linear relationship is one where the change in one variable does not result in a proportional or constant change in another variable, often visualized as a curve rather than a straight line on a graph. These relationships are common in real-world data and require specific models, such as polynomial or exponential functions, to accurately capture their complexity.

Non-linear Relationship

non-linear relationship

change in one variable

Proportional change refers to the relative change in a variable, expressed as a ratio or percentage, compared to its original value. It is a fundamental concept in mathematics and economics, used to analyze growth rates, elasticity, and comparative statics.

Proportional Change

constant change

another variable

visualized as a curve

straight line on a graph

Real-world data refers to data collected from various sources outside of traditional clinical trials, such as electronic health records, insurance claims, and patient registries, providing insights into actual patient experiences and outcomes. It is increasingly used to complement clinical trial data in healthcare decision-making, offering a more comprehensive understanding of treatment effectiveness and safety in diverse populations.

real-world data

specific models

Polynomial functions are mathematical expressions involving a sum of powers of a variable, each multiplied by a coefficient, and are foundational in algebra for modeling various types of relationships. They are characterized by their degree, which is the highest power of the variable, and can be classified as linear, quadratic, cubic, or higher, influencing their shape and the number of roots they possess.

Polynomial Functions

Exponential functions are mathematical expressions where a constant base is raised to a variable exponent, resulting in rapid growth or decay. They are crucial in modeling real-world phenomena such as population growth, radioactive decay, and compound interest, where change accelerates over time.

Relevant Degrees

Your Lessons