The regression equation provided is:

$y = 0.0127 + 0.0280x$

where:

• $y$ is the blood alcohol content (BAC),
• $x$ is the number of beers consumed.

To find Sam's predicted BAC after consuming 5 beers, substitute $x = 5$ into the equation:

$y = 0.0127 + 0.0280 \times 5$

Calculate the BAC:

$y = 0.0127 + 0.14 = 0.1527$

Since the legal limit is 0.08, Sam's predicted BAC of 0.1527 is above the legal limit. The amount above the limit is:

$0.1527 - 0.08 = 0.0727$

Answer:

Based on the model, Sam would be 0.0727 above the legal limit.

Would you like further details or have any questions?

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Here are some related questions for further understanding:

1. How would the result change if the number of beers consumed were different?
2. What is the significance of each parameter in the regression model?
3. What does a residual value represent in this context?
4. How reliable is this model for predicting BAC, and what factors could affect accuracy?
5. What are potential legal and health implications of exceeding the BAC limit?

Tip: Always interpret coefficients in regression models to understand how changes in the independent variable affect the dependent variable.