Answer :
Final answer:
A scatter diagram is a graphical representation of the relationship between two variables. By plotting the number of homeworks completed on the x-axis and the final grades on the y-axis, we can analyze the type of relationship that exists between the two variables. If the points on the scatter diagram form a pattern, it indicates a relationship. Based on the scatter diagram, we can determine if the relationship is positive, negative, or non-existent.
Explanation:
To draw a scatter diagram and analyze the relationship between homeworks completed and final grades, follow these steps:
- Label the x-axis as 'Number of Homeworks Completed' and the y-axis as 'Final Grades'.
- Plot each student's data point on the graph, with the x-coordinate representing the number of homeworks completed and the y-coordinate representing the final grade.
- Observe the scatter diagram and look for any patterns or trends. If the points on the graph form a pattern, it indicates a relationship between the variables.
- Based on the scatter diagram, analyze the type of relationship that appears to exist between homeworks completed and final grades. If the points on the graph generally slope upwards from left to right, it suggests a positive relationship. This means that as the number of homeworks completed increases, the final grades also tend to increase. If the points slope downwards, it indicates a negative relationship, where an increase in homeworks completed is associated with a decrease in final grades. If there is no clear pattern or trend, it suggests no relationship between the variables.
By analyzing the scatter diagram, you can determine the type of relationship that exists between homeworks completed and final grades.
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