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?



A. The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

B. The number of accidents was reduced by 0.67 per month every month.
There were 0.67 accidents per month.

C. The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.

D. The number of accidents was reduced by 0.67 per month for every additional driver in the program.

Please use the graph I've provided below.

Answer 1

The correct option is A.

Explanation:

The given equation is

`y=-0.0067x+17`

The slope intercept form of a line

`y=mx+b`

Where m is slope and b is y-intercept.

Therefore the slope is -0.0067 and the y-intercept is 17.

The number of accidents was reduced by 0.0067 per month for every additional driver in the program.

Therefore the number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program. Option A is correct.

Answer 2

We are given the regression equation:

`y=-0.0067 x + 17`

Where:

`-0.0067` is the slope

`17` is the intercept.

The number -0.0067 in the equation mean in this context is

The number of accidents was reduced by 0.67 per month for additional 100 drivers in the program.

Hence the correct option is A. The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.