https://file.aiquickdraw.com/mathbot/file/1728761072695oe4b4fz3.jpg

The image shows the output of a multiple regression analysis, with the goal of predicting annual salary based on years of education and years of work experience. The key components provided are:

- **Regression Statistics**: This includes the Multiple R, R Square, Adjusted R Square, Standard Error, and the number of observations.
- **ANOVA Table**: This breaks down the variance explained by the regression model (SS and MS for regression and residual).
- **Coefficients Table**: It provides the coefficients for the intercept, education, and experience, along with their standard errors, t-statistics, and p-values.

To answer **Step 1**: "What would be your expected salary with no education and no experience?"

### Formula for Multiple Regression:
\[
\text{Salary} = \text{Intercept} + (\text{Coefficient for Education} \times \text{Years of Education}) + (\text{Coefficient for Experience} \times \text{Years of Experience})
\]

Given that both years of education and experience are zero, the expected salary would simply be the intercept value.

From the table, the **Intercept** is:
\[
14292.12849
\]

Thus, with no education and no experience, the expected salary is:
\[
\boxed{14,292.13}
\]

Let me know if you need more details or if you have questions!

### Relative Questions:
1. What does the coefficient of years of education tell us about its impact on salary?
2. How would additional years of work experience affect the predicted salary?
3. What is the significance of the p-values for the education and experience coefficients?
4. How would you calculate the expected salary for someone with 5 years of education and 10 years of experience?
5. What does the R Square value suggest about the model's performance?

### Tip:
The intercept in a regression model represents the expected value of the dependent variable (salary) when all independent variables (education and experience) are zero.

What would be your expected salary with no education and no experience?

Explore a multiple regression analysis predicting salary based on education and work experience. Learn how to calculate expected salary when both education and experience are zero, using the provided intercept value from the regression model. Suitable for university-level statistics students.

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