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LINEAR REGRASSION — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsLINEAR REGRASSION3 Marks
Question
Explain the statement “There is a cause and effect relationship between two variables” by giving a suitable example. Also define independent variable and dependent variable.
✓

Answer

Out of two random variables, if value of one variable changes, then how it affects on another variable is known as “cause & effect” relationship between two variables.
  • E.g. Rain & Production Here, rain is independent variable $X$ and production is dependent variable $Y.$
  • We can assume through this relation that what is the reaction on production due to $↑$ or $↓$, in rain.
  • $(1)$ Independent Variable :
    • If there is cause and effect relationship between two variables, a change in the value of one variable will result in a corresponding change in the value of another variable.
    • The variable in which changes are made by us is a casual variable and is called independent variable which is denoted as $‘X’.$ e.g. Rain & Production. Here rain is independent variable.
  • $(2)$ Dependent Variable :
    • In cause & effect relationship, effect is called a dependent variable is denoted as $Y.$ e.g. Rain & Production.
    • Due to change of one unit in rain whatever changes occur in production is called dependent variable.

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