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) False. The standard deviation of y = 2x – 3 is not necessarily 7. The standard deviation of y will depend on the distribution of x and the relationship between x and y. In general, if the standard deviation of x is 5, it is not possible to determine the standard deviation of y without __________ __________ _________ ____ ________ ____ ___ __________ ______ ______.
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