An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the​ goal, the agent would like to use the size of an​ apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8​ one-bedroom apartments and the data are shown.    Monthly Rent​ ($) 925 1,550 800 1,450 1,950 950 1,800 1,300   Size​ (Square Feet) 800 1,350 1,050 1,100 2,000 650 1,300 950     . Construct a scatter plot. Choose the correct graph below.     A.       02,00002,000Size (sq ft)Rent ($)         A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points are clustered around a line that falls from left to right passing through the points (800,1200) and (1200,1000). All coordinates are approximate.   B.       02,00002,000Size (Sq ft)Rent ($)         A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points are clustered around a line that rises from left to right passing through the points (1200,1400) and (1600,1700). All coordinates are approximate.   C.       02,00002,000Size (Sq ft)Rent ($)         A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points fall exactly on a line that falls from left to right, where the points range from (650,1500) to (2,000,500). All coordinates are approximate.   D.       02,00002,000Size (Sq ft)Rent ($)         A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points fall exactly on a line that rises from left to right, where the points range from (650,650) to (2,000,2000). All coordinates are approximate.   b. Use the​ least-squares method to determine the regression coefficients b0 and b1.   b0 = enter your response here ​(Round to one decimal place as​ needed.) b1 = enter your response here ​(Round to one decimal place as​ needed.) c. Interpret the meaning of b0 and b1 in this problem. Choose the correct answer below.     A. For each increase of 1 square foot in​ space, the monthly rent is expected to increase by b0 dollars. Since X cannot be​ zero, b1 has no practical interpretation.   B. For each increase of 1 square foot in​ space, the monthly rent is expected to increase by b1 dollars. Since X cannot be​ zero, b0 has no practical interpretation.   C. For each increase of 1 square foot in​ space, the monthly rent is expected to increase by b0 dollars. Apartments in this neighborhood cost at least b1 dollars.   D. For each increase of 1 square foot in​ space, the monthly rent is expected to increase by b1 dollars. Apartments in this neighborhood cost at least

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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An agent for a residential real estate company in a suburb located outside a major city has the business objective of developing more accurate estimates of the monthly rental cost for apartments. Toward the​ goal, the agent would like to use the size of an​ apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 8​ one-bedroom apartments and the data are shown. 
 
Monthly Rent​ ($)
925
1,550
800
1,450
1,950
950
1,800
1,300
 
Size​ (Square Feet)
800
1,350
1,050
1,100
2,000
650
1,300
950
 

 

. Construct a scatter plot. Choose the correct graph below.
 
 
A.
 
 
 
02,00002,000Size (sq ft)Rent ($)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points are clustered around a line that falls from left to right passing through the points (800,1200) and (1200,1000). All coordinates are approximate.
 
B.
 
 
 
02,00002,000Size (Sq ft)Rent ($)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points are clustered around a line that rises from left to right passing through the points (1200,1400) and (1600,1700). All coordinates are approximate.
 
C.
 
 
 
02,00002,000Size (Sq ft)Rent ($)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points fall exactly on a line that falls from left to right, where the points range from (650,1500) to (2,000,500). All coordinates are approximate.
 
D.
 
 
 
02,00002,000Size (Sq ft)Rent ($)
 
  •  
  •  
  •  
A scatter plot has a horizontal axis labeled Size (in square feet) from 0 to 2000 in increments of 400 and a vertical axis labeled Rent ($) from 0 to 2000 in increments of 400. A series of plotted points fall exactly on a line that rises from left to right, where the points range from (650,650) to (2,000,2000). All coordinates are approximate.
 
b. Use the​ least-squares method to determine the regression coefficients
b0
and
b1.
 
b0
=
enter your response here
​(Round to one decimal place as​ needed.)
b1
=
enter your response here
​(Round to one decimal place as​ needed.)
c. Interpret the meaning of
b0
and
b1
in this problem. Choose the correct answer below.
 
 
A.
For each increase of 1 square foot in​ space, the monthly rent is expected to increase by
b0 dollars.
Since X cannot be​ zero,
b1
has no practical interpretation.
 
B.
For each increase of 1 square foot in​ space, the monthly rent is expected to increase by
b1 dollars.
Since X cannot be​ zero,
b0
has no practical interpretation.
 
C.
For each increase of 1 square foot in​ space, the monthly rent is expected to increase by
b0 dollars.
Apartments in this neighborhood cost at least b1 dollars.
 
D.
For each increase of 1 square foot in​ space, the monthly rent is expected to increase by
b1 dollars.
Apartments in this neighborhood cost at least
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