Q47. - Algebra 1

Question

Determine whether the graph shows a positive, negative, or no correlation. If there is a positive or negative correlation. If there is a positive or negative correlation, describe its meaning.

Step-by-Step Solution

Answer

There exists a positive correlation.

Step 1. Define Scatter Plot.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variable for a data set.

Step 2. Define the types of correlation.

The graph can either have positive correlation, negative correlation or no correlation.

 

Positive Correlation: 

Positive correlation means one variable increases as does the other variable. They have positive connection.

 

Negative Correlation:

Negative correlation means one variable increases, the other variable decreases. They have negative connection.

 

No Correlation:

No correlation means there is no connection between the two variables.

Step 3. Find the correlation for the given scatter plot.

Observe the given scatter plot.

y-axis represents the “Test Score”.

x-axis represents the “Hours Spent Studying”.

The y-axis variable increases as the x-axis variable increases.

This means there exists a positive connection between the two variables

Therefore this plot represents the positive correlation.

Step 4. Meaning of the positive correlation in the given graph.

The positive correlation in the given graph means that the value of  “Test Score” increases as the value of  “Hours Spent Studying” increases.

 

Therefore there exists a positive correlation.