Question
The scatter plot shows the relationship between the number of car accidents in a month and the number of drivers attending a program on distracted driving. The equation represents the linear model for this data.
y=−0.0067x+17
What does the number −0.0067 in the equation mean in this context?
The number of accidents was reduced by 0.67 per month for every additional driver in the program.
The number of accidents was reduced by 0.67 per month for every additional driver in the program.
The number of accidents was reduced by 0.67 per month every month.
The number of accidents was reduced by 0.67 per month every month.
The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
There were 0.67 accidents per month.
y=−0.0067x+17
What does the number −0.0067 in the equation mean in this context?
The number of accidents was reduced by 0.67 per month for every additional driver in the program.
The number of accidents was reduced by 0.67 per month for every additional driver in the program.
The number of accidents was reduced by 0.67 per month every month.
The number of accidents was reduced by 0.67 per month every month.
The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
There were 0.67 accidents per month.
Answers
GPT-4o mini
In the equation \( y = -0.0067x + 17 \), the coefficient \(-0.0067\) represents the slope of the linear relationship between the number of drivers attending the program on distracted driving (denoted as \(x\)) and the number of car accidents in a month (denoted as \(y\)).
Specifically, the value \(-0.0067\) means that for every additional driver that attends the program, the number of car accidents is expected to **decrease by 0.0067 accidents** per month.
Since the decrease is very small, it's often more practical to interpret this in terms of a larger group of drivers. Therefore, we can express this as:
The number of accidents is reduced by **0.67 accidents per month for every additional 100 drivers in the program**.
So, the correct interpretation from the given options is:
**The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.**
Specifically, the value \(-0.0067\) means that for every additional driver that attends the program, the number of car accidents is expected to **decrease by 0.0067 accidents** per month.
Since the decrease is very small, it's often more practical to interpret this in terms of a larger group of drivers. Therefore, we can express this as:
The number of accidents is reduced by **0.67 accidents per month for every additional 100 drivers in the program**.
So, the correct interpretation from the given options is:
**The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.**