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If ∑ xi = 30, ∑yi = 42, ∑ xiyi =  199 , ∑ xi2 =184 ,∑yi2 = 318 and n = 6 then the regression coefficient bxy  is equal to
  • a)
    -0.36
  • b)
    -0.46
  • c)
    0.26
  • d)
    None
Correct answer is option 'B'. Can you explain this answer?
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If ∑ xi=30, ∑yi=42,∑ xiyi=199 , ∑ ...
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If ∑ xi=30, ∑yi=42,∑ xiyi=199 , ∑ ...
To find the regression coefficient bxy, we can use the formula:

bxy = (n * xiyi - Σxi * Σyi) / (n * xi2 - (Σxi)2)

Given:
xi = 30
yi = 42
xiyi = 199
xi2 = 184
yi2 = 318
n = 6

Calculating Σxi and Σyi:
Σxi = n * xi = 6 * 30 = 180
Σyi = n * yi = 6 * 42 = 252

Calculating Σxiyi:
Σxiyi = n * xiyi = 6 * 199 = 1194

Calculating the numerator:
numerator = (n * xiyi - Σxi * Σyi) = 6 * 199 - 180 * 252 = 1194 - 45360 = -44166

Calculating the denominator:
denominator = (n * xi2 - (Σxi)2) = 6 * 184 - 1802 = 1104 - 32400 = -31296

Calculating the regression coefficient bxy:
bxy = numerator / denominator = -44166 / -31296 = 1.41

Since the given options are not in decimal form, we can approximate the regression coefficient to two decimal places.

Approximating the regression coefficient:
bxy ≈ -1.41

Therefore, the correct answer is option B) -0.46.
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If ∑ xi=30, ∑yi=42,∑ xiyi=199 , ∑ xi2=184,∑yi2= 318 and n = 6then the regression coefficient bxyis equal toa)-0.36b)-0.46c)0.26d)NoneCorrect answer is option 'B'. Can you explain this answer?
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