Scatter Plot Association Analysis
This worksheet focuses on analyzing scatter plots to determine the type and strength of association between two variables, suitable for Grade 12 mathematics.
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Scatter Plot Association Analysis
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Read each question carefully and provide your answers in the space provided. For questions involving scatter plots, analyze the relationship between the variables based on the plot's appearance.
1. Which of the following describes a strong positive linear association?
Points are scattered randomly with no clear pattern.
Points closely follow an upward-sloping straight line.
Points closely follow a downward-sloping straight line.
Points form a curve rather than a straight line.
2. A correlation coefficient close to -1 indicates:
No linear association.
A strong positive linear association.
A strong negative linear association.
A weak linear association.
3. Describe the type of association (positive, negative, or no association) and its strength (strong, moderate, or weak) for the scatter plot shown below.
4. If the points on a scatter plot form an approximate U-shape, the association is considered .
5. A correlation coefficient of indicates a perfect positive linear relationship.
6. Outliers in a scatter plot can significantly affect the value of the correlation coefficient.
True
False
7. A high correlation always implies causation between two variables.
True
False
8. A researcher collects data on the number of hours students spend studying per week and their final exam scores. If a scatter plot of this data shows a strong positive linear association, what does this suggest about the relationship between studying and exam scores?