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LenaWriter [7]
3 years ago
6

If there is a positive correlation between number of years studying math and shoe size ​(for children), does that prove that lar

ger shoes cause more studying of math​, or vice​ versa? Can you think of a hidden variable that might be influencing both of the other​ variables?
Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

The hidden variable is age.

Step-by-step explanation:

That does not prove that  larger shoes cause more studying math or vice versa.

The children with larger shoes are most probably older  so they would have done  more years of studying than the younger ones.

The hidden variable is the age of the child.

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Step-by-step explanation:

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Using the trigonometric expansion of \cos^2x = \dfrac{1+\cos 2x}{2} and integrating it as well as using the fact that the integral of \sec^2x=\tan x, we have

V =\dfrac{256\pi^2}{3}+46\pi\sqrt{3}

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