Answer (Detailed Solution Below)
Option 3 : \(\bar x = \;4.5,\;\overline {\;y} = - 0.5\)
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Electric charges and coulomb's law (Basic)
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CONCEPT:
Two regression lines always intersect at their mean or average values (\(\bar x,\;\bar y\). In other words if we solve two regression equations we get the average values of x and y.
CALCULATIONS:
Given equations are x – y – 5 = 0 and x + y – 4 = 0
On adding both the equations 2x = 9
⇒ x = 4.5 (Also \(\bar x\))
By substituting x = 4.5 in equation x – y – 5 = 0 we get
⇒ y = - 0.5 (Also \(\bar y\))
So, \(\bar x = 4.5 \ and\ \bar y = - 0.5\)
Hence, option C is the correct answer.
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asked Jul 4, 2020 in Mathematics by Siwani01 (50.6k points)
closed Jul 4, 2020 by
Siwani01
Two regression lines are represented by 2x + 3y – 10 = 0 and 4x + y – 5 = 0. Find the line of regression of y on x.
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answered Jul 4, 2020 by
Vikram01 (51.7k points)
selected Jul 4, 2020 by
Siwani01
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Given regression lines are
Now, from eq. (i) 3y = -2x + 10
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