While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.

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Author:Amos Gilat
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While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.
Number of
Mean Monthly Rent of a
42-Room Unit ($)
Inhabitants
18 200
810
31 100
600
11 800
520
213 400
710
9 600
675
143 600
625
314 000
800
126 300
555
147 400
740
8 900
545
491 100
950
242 100
890
46 400
815
368 700
875
33 700
800
76 200
750
Transcribed Image Text:Number of Mean Monthly Rent of a 42-Room Unit ($) Inhabitants 18 200 810 31 100 600 11 800 520 213 400 710 9 600 675 143 600 625 314 000 800 126 300 555 147 400 740 8 900 545 491 100 950 242 100 890 46 400 815 368 700 875 33 700 800 76 200 750
Housing Search
Mean Monthly Rent
of a 4%-Room Unit
(S) 1000
006
Mean point
800
700
600
500
400
100 000 200 000 300 000 400 000 500 000
Population
(Inhabitants)
Transcribed Image Text:Housing Search Mean Monthly Rent of a 4%-Room Unit (S) 1000 006 Mean point 800 700 600 500 400 100 000 200 000 300 000 400 000 500 000 Population (Inhabitants)
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