Correct Answer - Option 3 : 0.9
1 - Given
X = 3u + 1
Y = 4v + 2
Regression coefficient between x and y = (buv) = 1.2
Formula
Regression coefficient are independent of origin but depend on scale
If u = ax + b and v = cy + d
Then buv = (a/c) × bxy
Calculation
According to the question
x = 3u + 1
⇒ u = x/3 – 1/3
Similarly
v = y/4 – 1/2
By using buv = (a/c) × bxy
⇒ 1.2 = (1/3)/(1/4)bxy
⇒ 1.2 = (4/3)bxy
⇒ bxy = 3 × 1.2/4
∴ Regression coefficient between x and y is 0.9