Question
The graph shows the tip amount that 14 different customers left, based on the their bill. A trend line has been drawn for the data. The equation for the line is: y = 0.14x + 2.5. Which BEST interprets the slope of the linear model?
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Responses
A A $1 increase in the bill is associated with a $2.50 increase in tip amount.A $1 increase in the bill is associated with a $2.50 increase in tip amount.
B A $2.50 increase in the bill is associated with a $1 increase in tip amount.A $2.50 increase in the bill is associated with a $1 increase in tip amount.
C A $0.14 increase in the bill is associated with a $1 increase in tip amount.A $0.14 increase in the bill is associated with a $1 increase in tip amount.
D A $1 increase in the bill is associated with a $0.14 increase in tip amount.A $1 increase in the bill is associated with a $0.14 increase in tip amount.
Answers
GPT-4o mini
The equation of the trend line is given as \( y = 0.14x + 2.5 \), where \( y \) represents the tip amount and \( x \) represents the bill amount. In this equation, the slope is 0.14.
The slope of the linear model (0.14) indicates how much the tip amount increases for each unit increase in the bill amount. Specifically, it means that for each $1 increase in the bill amount, the tip amount increases by $0.14.
Based on this interpretation, the correct response is:
**D**: A $1 increase in the bill is associated with a $0.14 increase in tip amount.
The slope of the linear model (0.14) indicates how much the tip amount increases for each unit increase in the bill amount. Specifically, it means that for each $1 increase in the bill amount, the tip amount increases by $0.14.
Based on this interpretation, the correct response is:
**D**: A $1 increase in the bill is associated with a $0.14 increase in tip amount.