Math Problem Statement
Suppose the following estimated regression equation was determined to predict salary based on years of experience.
Estimated Salary=21,640.90+2456.42(Years of Experience)
What is the estimated salary for an employee with 18 years of experience?
Solution
To estimate the salary for an employee with 18 years of experience, we simply substitute the value of "Years of Experience" into the given regression equation.
The equation is:
Substituting 18 years of experience into the equation:
Now, calculate the result:
Then,
So, the estimated salary for an employee with 18 years of experience is $65,870.46.
Would you like further details on how this regression equation works or have any questions about other types of predictions?
Related Questions:
- What is the interpretation of the coefficients in a regression equation?
- How would you interpret the significance of the intercept in this regression equation?
- How would you estimate the salary for someone with 5 years of experience?
- What is the purpose of regression analysis in predicting salary?
- How would you calculate the predicted salary for employees with extreme years of experience (e.g., 0 or 40 years)?
Tip: In regression equations, the intercept (21,640.90) represents the estimated salary when the years of experience is 0. The coefficient for years of experience (2,456.42) shows how the salary increases with each additional year of experience.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
Estimated Salary = Intercept + (Coefficient × Years of Experience)
Theorems
Simple Linear Regression
Suitable Grade Level
Grades 10-12
Related Recommendation
Estimated Salary Calculation for Employee with 19 Years of Experience
Estimated Salary Based on Years of Experience Using Linear Regression
Calculate Estimated Salary Using Regression Equation for 88 Years of Experience
Sample Regression Equation and Salary Prediction Based on Education Level
Regression Equation for Income Based on Years of Service