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If ∑ xi = 24, ∑yi = 44, ∑ xiyi =  306,  ∑ xi2 =164 ,∑yi2 = 574 and n = 4 then the regression coefficient bxy  is equal to 
  • a)
    2.1
  • b)
    1.6
  • c)
    1.225
  • d)
    1.75
Correct answer is option 'A'. Can you explain this answer?
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If ∑ xi=24, ∑yi=44,∑ xiyi=306, ∑ x...
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If ∑ xi=24, ∑yi=44,∑ xiyi=306, ∑ x...
To calculate the regression coefficient bxy, we can use the formula:

bxy = (n * xiyi - xi * yi) / (n * xi2 - (xi)2)

Given values:
xi = 24
yi = 44
xiyi = 306
xi2 = 164
yi2 = 574
n = 4

We can substitute these values into the formula to find the regression coefficient bxy.

Step 1: Calculate the numerator
numerator = n * xiyi - xi * yi
= 4 * 306 - 24 * 44
= 1224 - 1056
= 168

Step 2: Calculate the denominator
denominator = n * xi2 - (xi)2
= 4 * 164 - (24)2
= 656 - 576
= 80

Step 3: Calculate the regression coefficient bxy
bxy = numerator / denominator
= 168 / 80
= 2.1

Therefore, the regression coefficient bxy is equal to 2.1, which corresponds to option A.
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If ∑ xi=24, ∑yi=44,∑ xiyi=306, ∑ xi2=164,∑yi2= 574 and n = 4then the regression coefficient bxyis equal toa)2.1b)1.6c)1.225d)1.75Correct answer is option 'A'. Can you explain this answer?
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