Math Problem Statement
Suppose the following estimated regression equation was determined to predict salary based on years of experience.
Estimated Salary=29,586.67+2415.82(Years of Experience)
What is the estimated salary for an employee with 20 years of experience?
Solution
To estimate the salary for an employee with 20 years of experience, we can plug the value of Years of Experience = 20 into the regression equation:
Substitute 20 for Years of Experience:
Now, calculate:
So, the estimated salary for an employee with 20 years of experience is $77,903.07.
Would you like to dive deeper into the interpretation of this regression equation or have any other questions about regression?
Here are a few related questions:
- How can we interpret the slope (2415.82) in this context?
- What does the intercept (29,586.67) represent in this equation?
- How can we evaluate the accuracy of a regression model?
- What is the difference between simple linear regression and multiple regression?
- How would you predict salary for an employee with 0 years of experience?
Tip: The slope of a regression equation gives you the change in the dependent variable (salary) for a one-unit change in the independent variable (years of experience).
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
Estimated Salary = 29,586.67 + 2415.82 * Years of Experience
Theorems
Linear regression equation interpretation
Suitable Grade Level
Grades 10-12
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