Math Problem Statement
The data in the table below represents the square footage and rents (dollars per month) for apartments in a section of a large city. Complete parts (a) through (c) below. Square Footage comma x 688 769 811 795 809 901 802 Rent per Month comma Upper R 1545 1605 1620 1640 1635 1730 1650 Question content area bottom Part 1 (a) Using a graphing utility, draw a scatter diagram of the data treating square footage as the independent variable. What type of relation appears to exist between square footage and rent?
Solution
The scatter plot shows a positive relationship between square footage and rent. As square footage increases, the rent generally tends to increase as well. This suggests a positive linear correlation between these two variables.
Would you like more details on interpreting this plot or moving forward with the next parts?
Here are 5 related questions to expand your understanding:
- How can you determine the strength of the correlation from the scatter plot?
- What factors might affect rent besides square footage?
- How can we mathematically describe the relationship between square footage and rent?
- What statistical methods can confirm the linear relationship between two variables?
- What is the importance of outliers in a scatter plot analysis?
Tip: Always check if the scatter plot suggests a linear, quadratic, or another type of relationship to choose the right model for analysis.
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Math Problem Analysis
Mathematical Concepts
Scatter Plot
Correlation
Linear Relationship
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Equation of a line: y = mx + b
Theorems
Linear Correlation Coefficient
Least Squares Regression
Suitable Grade Level
Grades 10-12
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