Math Problem Statement
Solution
Let's analyze the problem and answer each part step by step based on the scatter plot and line of best fit:
(a) As the number of hours worked increases, the amount of money spent tends to increase.
This is because the line of best fit slopes upward, indicating a positive relationship between hours worked and money spent.
(b) There is a positive correlation between the number of hours worked and the amount of money spent.
The upward trend in the scatter plot confirms a positive correlation, meaning that as hours worked increase, the money spent also increases.
(c) Using the line of best fit:
To predict the money spent for 8 hours worked, we can estimate from the graph. At approximately 8 hours, the line of best fit aligns with around $20 on the vertical axis.
Final Answers:
- (a): Increase
- (b): Positive
- (c): $20
Do you need further details about interpreting scatter plots, the line of best fit, or correlation? Let me know!
Related Questions:
- What does a negative correlation look like on a scatter plot?
- How do you calculate the equation of a line of best fit?
- What are the possible types of correlation (positive, negative, or none)?
- How can you use a line of best fit to make predictions for data?
- What does it mean if the points on a scatter plot are widely spread?
Tip:
A line of best fit is used to approximate data trends; it may not pass through all the points but minimizes the overall error.
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Math Problem Analysis
Mathematical Concepts
Scatter Plots
Line of Best Fit
Correlation
Formulas
Slope formula for best fit line: y = mx + b
Theorems
Line of Best Fit
Positive Correlation
Suitable Grade Level
Grades 8-10
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