Given the least squares regression equation, Y = 1,206 + 1,137X, when X=3, what does Y equal?

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**Understanding Least Squares Regression: Application Question**

Given the least squares regression equation: 

\[
\hat{Y} = 1,206 + 1,137X
\]

When \( X = 3 \), what does \( \hat{Y} \) equal?

### Multiple Choice Options

- ⭘ 4,062
- ⭘ 5,754
- ⭘ 8,024
- ⭘ 4,617

**Instruction:**

Use the given regression equation to calculate the predicted value of \( \hat{Y} \) by substituting \( X = 3 \) into the equation. After computing, select the correct answer from the options provided.
Transcribed Image Text:**Understanding Least Squares Regression: Application Question** Given the least squares regression equation: \[ \hat{Y} = 1,206 + 1,137X \] When \( X = 3 \), what does \( \hat{Y} \) equal? ### Multiple Choice Options - ⭘ 4,062 - ⭘ 5,754 - ⭘ 8,024 - ⭘ 4,617 **Instruction:** Use the given regression equation to calculate the predicted value of \( \hat{Y} \) by substituting \( X = 3 \) into the equation. After computing, select the correct answer from the options provided.
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