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The predicted population of the county in Texas for the year 2033, using the given regression model, is **23,877 people**, rounded to the nearest whole number.

Would you like further details or explanations on this? Here are 5 follow-up questions that might expand your understanding:

1. How would the prediction change if the model used different coefficients?
2. What is the significance of the quadratic term in the regression model?
3. How can the accuracy of this prediction be assessed?
4. How do regression models like this account for unexpected future events?
5. What are the potential limitations of using historical data for long-term population predictions?

**Tip:** When working with regression models, always consider the range of values for which the model has been trained, as extrapolation beyond this range can introduce more uncertainty.

Using the Regression Model below, predict the population of a county in Texas for the year 2033. (Plug in 133 for x because it's 133 years after 1900).

Learn how to predict the population of a Texas county for the year 2033 using a quadratic regression model. This problem involves key algebraic concepts like quadratic equations and regression, with a detailed solution rounding the population to the nearest whole number. Suitable for high school students in Grades 10-12.

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