A scientist studied the relationship between the number of ferns, x, per acre and the number of rabbits, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y=12+8x
=
12
+
8
for the regression line.
What is the meaning of the slope and the y-intercept of this regression line?
(1 point)
Responses
The slope is 12. This means that the average number of rabbits per acre in an area with no ferns is 12. The y-intercept is 8. This means that for every 1 additional fern, she can expect an average of 8 additional rabbits per acre.
The slope is 12. This means that the average number of rabbits per acre in an area with no ferns is 12. The y-intercept is 8. This means that for every 1 additional fern, she can expect an average of 8 additional rabbits per acre.
The slope is 8. This means that the average number of rabbits per acre in an area with no ferns is 8. The y-intercept is 12. This means that for every 1 additional fern, she can expect an average of 12 additional rabbits per acre.
The slope is 8. This means that the average number of rabbits per acre in an area with no ferns is 8. The y-intercept is 12. This means that for every 1 additional fern, she can expect an average of 12 additional rabbits per acre.
The slope is 12. This means that for every additional fern, she can expect an average of 12 additional rabbits per acre. The y-intercept is 8. This means that the average number of rabbits per acre in an area with no ferns is 8.
The slope is 12. This means that for every additional fern, she can expect an average of 12 additional rabbits per acre. The y-intercept is 8. This means that the average number of rabbits per acre in an area with no ferns is 8.
The slope is 8. This means that for every additional fern, she can expect an average of 8 additional rabbits per acre. The y-intercept is 12. This means that the average number of rabbits per acre in an area with no ferns is 12.
The correct response is:
The slope is 8. This means that for every additional fern, she can expect an average of 8 additional rabbits per acre. The y-intercept is 12. This means that the average number of rabbits per acre in an area with no ferns is 12.