Generally, linear relationships are used in correlation analysis and regression analysis because they both define the relationship between variables.
Correlation: correlation numerically defines the relationship between variables and also determines the impact of increase or decrease in one variable on other. Linear relationship is represented through the graphic method.
Regression: regression defines the average relationship between variables and also predicts the outcomes. Regression lines on a graph represent the linear relationship.
Ways of determining the relationship between variables
Through mathematical equations.
Computation of linear relationship through graph:
Examples of linear relationship
Indicate the linear relationship between blood pressure and pulse rate.
Heartbeat is an independent variable.
Blood pressure is a dependent variable.
Association between heartbeat and blood pressure is a linear relationship.
As per the graph,
Heartbeat is an independent variable that is represented on the x-axis and blood pressure is a dependent variable that is represented on the y-axis. Any increase or decrease in the rate of heartbeat makes a similar change in blood pressure. The relationship between heartbeat and blood pressure is determined through straight lines.
If heartbeat is 60, then blood pressure will be around 90. Similarly, if the heartbeat is 80, then blood pressure will be around 120. In this way, heartbeat and blood pressure are changed correspondingly in a similar manner. It indicates the linear relationship between heartbeat and blood pressure.
Indicate the linear relationship between working hours and wage payment for labor on a graph.
Working hours is an independent variable.
The amount of money is a dependent variable.
Association between working hours and the amount of money is a linear relationship that determines the wage payment.
As per the graph,
Working hours are an independent variable that is represented on the x-axis and the amount of money is a dependent variable that is represented on the y-axis. Any increase or decrease in working hours makes a similar change in the amount of money. Wage payment is decided on the basis of the working hours and the amount fixed for them. Straight-line on the graph indicates that for 8 hours of working, 400 dollars to be paid. Any increase or decrease in working hours will make a similar change in the amount of money that determines the linear relationship between working hours and the amount paid.
â— Classify the independent and the dependent variables.
â— Plot independent variables on the x-axis.
â— Plot dependent variables on the y-axis.
â— Through a straight line indicate the linear relationship between them.
â— Compare the data.
â— Analyze the data.
In this way, graphs are used to define the relationship between variables and constants.
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