gracekelly22
contestada

A scientist studied the relationship between the number of trees, x, per acre and number of birds, y, per acre in a neighborhood. She modeled the relationship with a scatter plot and used the equation
y= 4 +6x for the regression line. What is the meaning of the slope and y-intercept of this regression line?

A. The slope is 6. This means that the average number of birds per acre in an area with no trees is 6. The y-intercept is 4. This means that for every 1 additional tree, she can expect and average of 4 additional birds per acre.

B. The slope 4. This means that for every 1 additional tree, she can expect an average of 4 additional birds per acre. The y-intercept is 6. The average number of birds per acre in an area with no trees is 4.

C. The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. The average number of birds per acre in an area with no trees is 4.

D. The slope is 4. This means that the average number of birds per acre in an area with no trees is 4. The y-intercept is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre.

Respuesta :

joshgree747
The answer is C. Anything in a linear equation with an x behind it is the slope. The slope indicates that she can expect 6 additional birds per acre. They-intercept is 4. The y-intercept tells us how many birds she has seen before in a area of  no trees is 4
facundo3141592

For the linear equation y = 4 + 6x the y-intercept is 4 and the slope is 6. The correct interpretation of this is the one in option C.

What does the equation mean?

Here x represents the number of trees per acre, and y represents the number of birds in that acre.

We have the linear equation.

y = 4 + 6*x

So, if there are 2 trees in the acre, the number of birds is:

y = 4 + 6*2 = 16 birds.

Now, what does this equation mean?

First, the constant (y-intercept) term means that in every acre, indifferent of the number of trees, there are at least 4 birds around there.

The slope is 6, it means that for each additional tree, another 6 birds will come to the acre.

Then the correct option is C:

"The slope is 6. This means that for every 1 additional tree, she can expect an average of 6 additional birds per acre. The y-intercept is 4. The average number of birds per acre in an area with no trees is 4."

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491