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A scientist studied the relationship between the number of sunflowers, x, per acre and the number of honeybees, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation y=14+16x

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 16. This means that for every additional sunflower, she can expect an average of 16 additional honeybees per acre. The y-intercept is 14. This means that the average number of honeybees per acre in an area with no sunflowers is 14.
The slope is 16. This means that for every additional sunflower, she can expect an average of 16 additional honeybees per acre. The y-intercept is 14. This means that the average number of honeybees per acre in an area with no sunflowers is 14.

The slope is 14. This means that for every additional sunflower, she can expect an average of 14 additional honeybees per acre. The y-intercept is 16. This means that the average number of honeybees per acre in an area with no sunflowers is 16.
The slope is 14. This means that for every additional sunflower, she can expect an average of 14 additional honeybees per acre. The y-intercept is 16. This means that the average number of honeybees per acre in an area with no sunflowers is 16.

The slope is 14. This means that the average number of honeybees per acre in an area with no sunflowers is 14. The y-intercept is 16. This means that for every 1 additional sunflower, she can expect an average of 16 additional honeybees per acre.
The slope is 14. This means that the average number of honeybees per acre in an area with no sunflowers is 14. The y-intercept is 16. This means that for every 1 additional sunflower, she can expect an average of 16 additional honeybees per acre.

The slope is 16. This means that the average number of honeybees per acre in an area with no sunflowers is 16. The y-intercept is 14. This means that for every 1 additional sunflower, she can expect an average of 14 additional honeybees per acre.

1 answer

The correct interpretation of the slope and y-intercept of the regression line \( y = 14 + 16x \) is:

The slope is 16. This means that for every additional sunflower, she can expect an average of 16 additional honeybees per acre. The y-intercept is 14. This means that the average number of honeybees per acre in an area with no sunflowers is 14.

So, the correct response is the first one.