Math Problem Statement
What is the shape seen as linear or nonlinear
Solution
The data in the scatter plot shows a linear relationship between the median square footage (x-axis) and the median listing price (y-axis). This can be observed from the straight, dotted trend line, which fits the data points closely. Additionally, the equation indicates a linear function, where (median listing price) depends linearly on (median square footage).
The high value of 0.9681 further supports this linearity, indicating that approximately 96.81% of the variance in the median listing price is explained by the median square footage.
Would you like further details on the significance of the value or the interpretation of the equation?
Here are some related questions to expand on this topic:
- How does the slope of the line () relate to price per square foot?
- What does the value of 0.9681 tell us about the strength of the correlation?
- How would this relationship change if the data were nonlinear?
- What impact does the intercept (184618) have on the interpretation of prices?
- Could there be any external factors affecting this linear relationship?
Tip: A high value suggests a strong fit, but always consider other factors like data outliers that could influence the result.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Regression
Scatter Plot Analysis
Correlation
Formulas
Linear Equation: y = mx + b
Coefficient of Determination: R^2
Theorems
Line of Best Fit
Suitable Grade Level
Grades 10-12
Related Recommendation
Linear Regression Analysis of Housing Costs from 1994-2004
Scatter Plot Analysis: Correlation Between Square Footage and Rent
Predicting Home Prices Using Linear Regression and Squared Errors
Linear Regression of Housing Costs: Analysis and Correlation
Scatter Plot Analysis: Relationship Between Monthly Rent and Apartment Size