Math Problem Statement
Data on tuition and mid-career salary are collected from a number of universities and colleges. The result of the data collection is the linear regression model
where annual tuition and average mid-career salary of graduates, both in thousands of dollars.
Which quantity is the independent variable? average mid-career salary of graduates annual tuition
According to this model, what is the average salary for a graduate of a college or university where the annual tuition is $30,000? $ What is the slope of this regression model?
Solution
To help answer your questions, I need the actual linear regression model. This model typically has the form:
where:
- represents the dependent variable (in this case, the average mid-career salary),
- represents the independent variable (in this case, the annual tuition),
- is the slope of the regression line, and
- is the y-intercept.
Please provide the model, or if you have any specific data or coefficients that you can share, I can help you calculate the answers based on that.
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Slope-Intercept Form
Formulas
y = mx + b (Linear regression model)
Slope formula: m = Δy / Δx
Theorems
Linear relationship between independent and dependent variables
Suitable Grade Level
Grades 10-12
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