State whether the following statements are True or False and also give the reason in support of your answer. 
a) If standard deviation of x is 5, standard deviation of y = 2x–3 is 7.
b) Mean deviation is least when calculated from the median.
c) The correlation coefficient between x and (a – x) is –1.
d) The regression coefficients byx and bxy of a data are 1.2 and 0.8, respectively.
e) If (AB) = 10, (αB) = 15, (Aβ) = 20 and (αβ) = 30 then A and B are associated.

a) If the standard deviation of \( x \) is 5, the standard deviation of \( y = 2x - 3 \) is 7.

False. The standard deviation of a linear transformation of a random variable \( x \) (like \( y = 2x - 3 \)) is \( |a| \cdot \) standard deviation of \( x \), where \( a \) is the coefficient of \( x \) in the transformation equation. So, in this case, the standard deviation of \( y \) would be \( |2| \times 5 = 10 \), not 7.

b) Mean deviation is least when calculated from the median.

True. Mean ___ __________ ______ ________ __________ _________ __________ __________ _____.
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