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)
The Coefficient of Correlation between square footage and listing price
X
|
Y
|
X⋅Y
|
X⋅X
|
Y⋅Y
|
1400000
|
0
|
0
|
1960000000000
|
0
|
1200000
|
1000
|
1200000000
|
1440000000000
|
1000000
|
1000000
|
2000
|
2000000000
|
1000000000000
|
4000000
|
800000
|
3000
|
2400000000
|
640000000000
|
9000000
|
600000
|
4000
|
2400000000
|
360000000000
|
16000000
|
400000
|
5000
|
2000000000
|
160000000000
|
25000000
|
200000
|
6000
|
1200000000
|
40000000000
|
36000000
|
0
|
7000
|
0
|
0
|
49000000
|
Sum of every column:
∑X=5600000 , ∑Y=28000 , ∑X⋅Y=11200000000 , ∑X2=5600000000000 , ∑Y2=140000000
Formula used
r r = n⋅∑XY−∑X⋅∑Y[n∑X2−(∑X)2]⋅[n∑Y2−(∑Y)2]−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√= 8⋅11200000000−5600000⋅28000[8⋅5600000000000−56000002]⋅[8⋅140000000−280002]−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√≈−1
The coefficient of correlation is r = -1
Q1. Does the Coefficient of Correlation seem consistent with the information above? Why or why not?
Q2. What proportion of the variation in listing price is determined by variation in the square footage? What proportion of the variation in listing price is due to other factors?