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This scatterplot and regression line below show the relationship between the average rent for a 111-bedroom apartment in New York and the number of years after the year 200020002000.
The fitted line has a yyy-intercept of 800800800.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
On average, the rent of a 111-bedroom apartment in New York increases by 800800800 dollars each year.

(Choice B)
B
The average rent for a 111-bedroom apartment in New York is approximately 800800800 dollars.

(Choice C)
C
The model indicates that 111-bedroom apartments in New York had an average rent of approximately 800800800 dollars in 201020102010.

(Choice D)
D
The model indicates that 111-bedroom apartments in New York had an average rent of 800800800 dollars in 200020002000.
A graph plots Average rent, in dollars per month, from 0 to 1200, in increments of 100, versus Years after 2000, from 0 to 12, in increments of 2. 14 points rise diagonally in a single file cluster between (0, 800) and (12, 1290). A regression line rises diagonally through the center of the cluster from (0, 800) to (12.5, 1300). All values estimated.

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Answer:

  D  The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

Step-by-step explanation:

The y-axis of the graph represents the year 2000. The value on that axis represents the rent for a 1-bedroom apartment. So, the y-intercept of 800 means ...

  1-bedroom apartments in New York had an average rent of 800 dollars in 2000

The best interpretation of this y-intercept is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Thus, y-intercept of y = f(x) is y = f(0)

In this case, x be the number of years after the year 2000.

Then we can show that x = 0, represents the year 2000 itself.

Now, the y-intercept is the value of y when we have x = 0.

So, the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.

The information that we can conclude with this is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

Learn more about y-intercept here:

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