# How do you tell if the correlation is positive or negative on a scatter plot?

## How do you tell if the correlation is positive or negative on a scatter plot?

We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

**How do you find the correlation of a scatter plot?**

Step 1: Find the mean of x, and the mean of y. Step 2: Subtract the mean of x from every x value (call them “a”), and subtract the mean of y from every y value (call them “b”) Step 3: Calculate: ab, a2 and b2 for every value. Step 4: Sum up ab, sum up a2 and sum up b.

**Is it possible for a scatter plot to have a positive or negative association that is not linear?**

zero correlation

A scatterplot in which the points do not have a linear trend (either positive or negative) is called a zero correlation or a near-zero correlation (see below).

### What’s an example of a negative correlation?

A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other. An example of negative correlation would be height above sea level and temperature. As you climb the mountain (increase in height) it gets colder (decrease in temperature).

**Which type of association does the scatter plot show?**

A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.

**What does a scatter plot show?**

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

## What makes a scatter plot positive?

If the points on the scatter plot seem to form a line that slants up from left to right, there is a positive relationship or positive correlation between the variables. If the points on the scatter plot seem to be scattered randomly, there is no relationship or no correlation between the variables.

**What type of association does the scatter plot show?**

**How do you explain a negative correlation?**

Negative correlation is a relationship between two variables in which one variable increases as the other decreases, and vice versa. A perfect negative correlation means the relationship that exists between two variables is exactly opposite all of the time.

### How would you describe a strong negative correlation?

A perfect negative correlation has a value of -1.0 and indicates that when X increases by z units, Y decreases by exactly z; and vice-versa. In general, -1.0 to -0.70 suggests a strong negative correlation, -0.50 a moderate negative relationship, and -0.30 a weak correlation.