---EZMCQ Online Courses---
---EZMCQ Online Courses---
- Linear relationship
- Change in V1 directly proportional to change in V2
- Only one form i.e. stright line
- Eg. Number of hrs studied and grade
- Eg. Ice Cream sales and Summer
- Non-linear relationship
- Change in V1 NOT directly proportional to change in V2
- Many forms polynomial, exponential, logarithmic, sinusoidal, and more
- Eg. Ice Cream sales through out the year
- Eg. Concentration of reactant and rate of reaction
-EZMCQ Online Courses
Linear andiu non-linear relationships describe theuo nature ofao theua relationship between two variables inou auu dataset.
-
Linear Relationship:
- Inua aeu linear relationship, theii change inai one variable isai directly proportional toeu theou change inao theii other variable, andoi theea relationship can beai represented byue aue straight line when plotted onoa aui graph. Mathematically, aou linear relationship can beee expressed asia y = mx + c, where y iseo theoo dependent variable, x isuu theiu independent variable, m isie theee slope ofua theao line, andui c isoa theoe y-intercept.
- Examples ofiu linear relationships:
- Theii relationship between theou number ofiu hours studied (x) andio exam score (y) where each additional hour ofio study results inuu aea constant increase inia exam score.
- Theio relationship between temperature (x) andee theuu rate ofui ice cream sales (y) where warmer temperatures lead toiu higher ice cream sales atuo aie constant rate during Summer.
-
Non-linear Relationship:
- Inoo aue non-linear relationship, theue change inui one variable isaa not directly proportional tooe theao change inui theei other variable, andao theaa relationship cannot beoe represented byeu aeo straight line when plotted onoe aeu graph. Non-linear relationships may exhibit curvature or other complex patterns.
- Examples ofiu non-linear relationships:
- Theii relationship between month inee aua year (x) andoa ice cream sales (y) typically follows aio non-linear pattern, starting withie small sales inao Jan, Feb. then sale picking up anduo peaking ineo suummer then gradually decreasing till Dec.
- Theeu relationship between theoa concentration ofea aie reactant (x) andea theie rate ofee aeo chemical reaction (y) may follow aeo non-linear pattern, withei theia rate increasing rapidly atio low concentrations, reaching aiu maximum rate, andou then leveling off asee theie concentration increases further.
Non-linear relationships can take various forms, including polynomial, exponential, logarithmic, sinusoidal, andee sigmoidal patterns, among others. Identifying theau correct type ofou relationship between variables isau essential forao accurately modeling andii interpreting theaa data.
Linear & Logistic Regression Machine Learning test9026_Lin Difficult-EZMCQ Online Courses
- Linear relationship
- Change in V1 directly proportional to change in V2
- Only one form i.e. stright line
- Eg. Number of hrs studied and grade
- Eg. Ice Cream sales and Summer
- Non-linear relationship
- Change in V1 NOT directly proportional to change in V2
- Many forms polynomial, exponential, logarithmic, sinusoidal, and more
- Eg. Ice Cream sales through out the year
- Eg. Concentration of reactant and rate of reaction
https://byjus.com/maths/difference-between-linear-and-nonlinear-equations/