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How much is the predicted value of the ticket sales, it audience size is 10000 seats( keep all figures)provide me the accurate answer, do not round figure

To predict the ticket sales (\( \text{Ticket\_Sales} \)) when the audience size is 10,000 seats, we use the regression equation based on the coefficients provided in the output. The general form of the linear regression equation here is:

\[
\text{Ticket\_Sales} = \text{const} + (\text{Audience\_Size coefficient}) \times \text{Audience\_Size}
\]

From the output, the values are:
- **const (intercept)** = 5860.7536
- **Audience\_Size coefficient** = 33.7457

With an audience size of 10,000, we plug in the values:

\[
\text{Ticket\_Sales} = 5860.7536 + (33.7457 \times 10000)
\]

Now calculate each part:

1. \( 33.7457 \times 10000 = 337457 \)
2. Adding the constant term:
   \[
   \text{Ticket\_Sales} = 5860.7536 + 337457 = 343317.7536
   \]

### Answer:
The predicted value of ticket sales for an audience size of 10,000 seats is **343317.7536**.

Would you like further details or explanations on any part of this solution?

Here are some related questions for further practice:
1. How does changing the audience size affect ticket sales according to this model?
2. What does the R-squared value indicate about the model's fit?
3. How would you interpret the standard error for the Audience\_Size coefficient?
4. What does the p-value for the Audience\_Size coefficient tell us about its significance?
5. What is the impact of adding more variables to this regression model?

**Tip:** When interpreting regression coefficients, keep in mind that each coefficient represents the change in the dependent variable for a one-unit increase in the corresponding independent variable, holding other factors constant.

How much is the predicted value of the ticket sales, if audience size is 10000 seats (keep all figures)?

Calculate the predicted ticket sales using a linear regression model with an audience size of 10,000 seats. This solution includes step-by-step calculations with detailed figures, suitable for college-level students.

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