Math Problem Statement
Estimate the value of r for the scatter plot.
Solution
From the scatter plot in the image, we need to estimate the value of , which represents the correlation coefficient.
Observations:
- The data points show a clear downward trend, indicating a negative correlation.
- The points are relatively close to a straight line, suggesting a strong correlation.
Correlation Coefficient ():
- ranges from (perfect negative correlation) to (perfect positive correlation).
- Based on the downward trend and strength of the relationship, is approximately .
Answer:
The correct option is b. .
Let me know if you want further clarification!
Here are five related questions for further exploration:
- What does a correlation coefficient of signify in a dataset?
- How does the value of change when the points deviate further from a linear trend?
- Can be greater than or less than ? Why or why not?
- How would you interpret in terms of the strength of correlation?
- What are some limitations of using as a measure of association?
Tip: Remember, correlation does not imply causation!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Scatter Plot Analysis
Formulas
Correlation coefficient formula
Theorems
Correlation properties: r ranges from -1 to 1
Suitable Grade Level
Grades 8-12