Math Problem Statement
Suppose the following estimated regression equation was determined to predict salary based on years of experience.
Estimated Salary=20,502.22+2705.91(Years of Experience)Estimated Salary=20,502.22+2705.91(Years of Experience) What is the estimated salary for an employee with 88 years of experience?
Solution
To calculate the estimated salary for an employee with 88 years of experience using the regression equation:
Substitute :
Step-by-Step Calculation:
-
Calculate :
-
Add the intercept:
Final Answer:
The estimated salary for an employee with 88 years of experience is $258,622.30.
Would you like further clarification or have questions on related topics? Here are some ideas to explore further:
- How to interpret the slope in the regression equation?
- What is the role of the intercept in a regression equation?
- How can we calculate the residual if the actual salary is provided?
- What are the assumptions of linear regression?
- How would this regression model change if additional variables were added?
Tip: Always verify the assumptions of linear regression, such as linearity, homoscedasticity, and independence, to ensure the model's accuracy.
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
Estimated Salary = Intercept + Slope × (Years of Experience)
Theorems
Linear Regression Equation
Suitable Grade Level
Grades 9-12
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