Stoaches are fictional creatures that are extremely territorial.

A regression model has been fit to predict the number 𝑏
 of baby stoaches (“stoachlings”) that a female stoach will give birth to each spring, on the basis of territorial area 𝑎
:
𝑏̂ =0.106+0.021𝑎.

Assume a female stoach has 353 m2
 of territory, and that it is valid to make a prediction. Predict the expected number of stoachlings. (Give your answer to 3 decimal places.)

Predicted number of stoachlings

The predicted number of stoachlings for a female stoach with 353 m² of territory is approximately 7.519.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How does the slope in the regression equation affect the number of stoachlings?
2. If the territory area increases by 100 m², how would that change the prediction?
3. What assumptions must hold true for this prediction model to be valid?
4. How might different factors (e.g., food availability) influence this model’s accuracy?
5. Could this model be used to predict the number of stoachlings for different species?

**Tip:** When using regression models, always check the range and validity of inputs for reliable predictions.

A regression model has been fit to predict the number 𝑏 of baby stoaches (“stoachlings”) that a female stoach will give birth to each spring, on the basis of territorial area 𝑎: 𝑏̂ = 0.106 + 0.021𝑎. Assume a female stoach has 353 m² of territory, and that it is valid to make a prediction. Predict the expected number of stoachlings. (Give your answer to 3 decimal places.)

Learn how to predict the number of baby stoaches (stoachlings) a female stoach will give birth to based on her territorial area. Using the linear regression model 𝑏̂ = 0.106 + 0.021𝑎, calculate the expected number of stoachlings for a territory of 353 m². Suitable for students in Grades 10-12.

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