Interpret the slope.

Question

BlackTom AI · Accepted Answer

Question restatement: Interpret the slope.
Option 1: 'For each additional can of beer consumed, the model predicts an additional 0.0180 grams per deciliter BAC.' This matches the interpretation of a positive slope in a regression where the predictor is the number of beers and the response is BAC; it means each extra can is associated with an increase of 0.0180 g/dL in BAC.
Option 2: 'For each additional can of beer consumed, the model predicts a decrease of 0.0127 grams per deciliter BAC.' This would imply a negative slope, which contradicts the provided positive slope in Option 1 and would mean more beer lowers BAC, which is illogical given the context of alcohol consumption and BAC; therefore this is incorrect.
Option 3: 'For each additional grams per deciliter BAC, the model predicts an additional 0.0180 can of beer consumed.' This reverses the causal interpretation and swaps the axes: it states BAC changes cause changes in beer consumption, rather than beer consumption causing BAC; this misstates the direction of the relationship and is incorrect.
Option 4: 'For each additional can of beer consumed, the model predicts an additional 7.48 grams per deciliter BAC.' This proposes a drastically different slope value (7.48 g/dL per can) which is unrealistically large for BAC per extra beer and does not align with the given slope of 0.0180; thus it is incorrect.
In summary, the slope describes how much BAC is expected to change with each additional can of beer; a positive, modest value (0.0180 g/dL) corresponds to Option 1, while the other choices either invert the relationship, misstate the direction, or propose an implausibly large effect. The key concept is directionality and magnitude of the slope in a simple linear regression context relating cans of beer to BAC.

FA25_QTM_100_3 8.32: Beer and blood alcohol content.- Requires Respondus LockDown Browser

Interpret the slope.

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