what is Two variables that move in opposite directions in the same proportion. In other words, when one increases, the other decreases.
Two variables that move in opposite directions in the same proportion are called inversely proportional or inversely related variables. This means that as one variable increases, the other variable decreases by an equal factor.
The concept you are describing is called inverse proportionality. In inverse proportionality, two variables are related in such a way that when one variable increases, the other variable decreases. Let's denote the two variables as x and y.
The relationship between x and y can be expressed using the mathematical equation: x * y = k, where k is a constant.
This means that when x increases, y will decrease by the same factor so that their product remains constant. Similarly, when x decreases, y will increase to maintain the same product.
The concept you are referring to is called an inverse relationship or negative correlation. When two variables have an inverse relationship, it means that as one variable increases, the other variable decreases by the same proportion.
To understand and identify an inverse relationship between two variables, you can follow these steps:
Step 1: Collect Data - Gather information on the two variables you want to analyze. For example, let's consider the variables "temperature" and "number of ice cream sales."
Step 2: Plot a Scatter Plot - Represent the data points of the two variables on a graph called a scatter plot. Place the values for one variable on the x-axis and the values for the other variable on the y-axis.
Step 3: Observe the Pattern - Look at the scatter plot and examine the general trend of the data points. If the data points form a pattern where they slope downwards from left to right, it indicates an inverse relationship.
Step 4: Calculate Correlation Coefficient - To validate the inverse relationship statistically, you can use a correlation coefficient. The correlation coefficient ranges from -1 to +1. A negative correlation coefficient, closer to -1, confirms the inverse relationship.
By following these steps, you can determine if there is an inverse relationship or negative correlation between two variables.