Answer:
A) m = 0.062
B) 202.87 thousand dollars
C) Original price = 116.07 thousand dollars. $6000 is called the error term.
Step-by-step explanation:
We are given the following in the question:
Price = 47.87+0.062(size)
The above equation is regression equation where price is in thousand dollars and size in square feet.
Let p be the prize and s be the size.
![p(s) = 47.87 + 0.062s](https://tex.z-dn.net/?f=p%28s%29%20%3D%2047.87%20%2B%200.062s)
Comparing it to linear equation, we have,
![y= mx + c](https://tex.z-dn.net/?f=y%3D%20mx%20%2B%20c)
where m is the slope and c is the y-intercept.
m = 0.062
c = 47.87
A) slope of the line
The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.
The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.
B) Price of house
We are given s = 2500. Putting this value in the equation.
![p(2500) = 47.87 + 0.062(2500) =202.87](https://tex.z-dn.net/?f=p%282500%29%20%3D%2047.87%20%2B%200.062%282500%29%20%3D202.87)
Thus, the price of a 2500 square feet house is 202.87 thousand dollars.
C) We are given s = 1100
Putting the value in the equation:
![p(1100) = 47.87 + 0.062(1100) =116.07](https://tex.z-dn.net/?f=p%281100%29%20%3D%2047.87%20%2B%200.062%281100%29%20%3D116.07)
Original price = 116.07 thousand dollars
Asking price =
![116.07 - 6 = 110.07](https://tex.z-dn.net/?f=116.07%20-%206%20%3D%20110.07)
The buyer is asking for 110.07 thousand dollars.
$6000 is called the error term.