Which type of correlation is suggested by the scatter plot?
A) positive correlation
B) negative correlation
C) equal correlation
D) no correlation
The Correct Answer and Explanation is:
To determine the type of correlation suggested by a scatter plot, we need to examine the pattern and relationship between the data points represented in the plot.
Explanation of Correlation Types:
- Positive Correlation (A):
- Definition: In a positive correlation, as one variable increases, the other variable also increases. The data points on the scatter plot tend to move upward from left to right.
- Example: A scatter plot showing the relationship between the number of hours studied and exam scores. As study hours increase, exam scores tend to increase, indicating a positive correlation.
- Negative Correlation (B):
- Definition: In a negative correlation, as one variable increases, the other decreases. The data points on the scatter plot generally show a downward trend from left to right.
- Example: A scatter plot showing the relationship between the amount of time spent watching TV and grades. As TV watching increases, grades tend to decrease, indicating a negative correlation.
- Equal Correlation (C):
- Definition: This is not a commonly used term in correlation analysis. Typically, “equal correlation” would imply that the data shows no strong relationship or that there is no clear pattern between the two variables.
- Example: This could refer to a situation where the data points are spread out randomly without forming a noticeable pattern or trend.
- No Correlation (D):
- Definition: When there is no correlation, there is no discernible pattern or relationship between the variables. The data points are scattered randomly across the plot with no clear upward or downward trend.
- Example: A scatter plot showing the relationship between shoe size and income. The data points would be spread randomly, suggesting no correlation.
Correct Answer:
- To identify the correct correlation type, one would need to analyze the scatter plot in question. If the plot shows a general upward trend, positive correlation (A) is the correct answer. If the plot shows a downward trend, negative correlation (B) is appropriate. If the data points are scattered without any clear pattern, the correct answer would be no correlation (D).
In summary, interpreting a scatter plot requires careful observation of how the data points are distributed. Positive correlations show an upward trend, negative correlations show a downward trend, and no correlation shows a random scatter.