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# If the correlation coefficient between x and y is 0.8, what is the correlation coefficient between x2 and y - Mathematics and Statistics

Sum

If the correlation coefficient between x and y is 0.8, what is the correlation coefficient between "x"/2 and y

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#### Solution

Correlation coefficient remains unaffected by the change of origin and scale.

i.e., if "u"_"i" = ("x"_"i" - "a")/"h" and "v"_"i" = ("y"_"i" - "b")/"k", then Corr (u, v) = ± Corr (x, y), according to the same or opposite signs of h and k.

ui = (("x"_"i" - 0))/2, "v"_"i" = ("y"_"i" - 0)/1
Here, h = 1 and k = 1 are of the same signs.
∴ Corr (u, v) = Corr (x, y) = 0.8

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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 5 Correlation
Miscellaneous Exercise 5 | Q 8. (ii) | Page 64
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