Kuya measured various data from a random sample of high school students. From th

Question

Kuya measured various data from a random sample of high school students. From the various skills, which is the least predictable? Data below.

speed

height

weight

BMI

SPEED HEIGHT WEIGHT BMI 17 33 33 15 25 40 16 30 31 23 39 20 41 16 14 23 28 38 12 17 39 38 24 27 29 19 18 41 32 11 19 38 17 23 12 38 13 17 42 19 24 29 21 39 35 14 37 28 44 32 19 29 11 29 27 44 41 21 16 31 32 36 21 36 30 35 27 43 17 22 26 41 19 42 34 39 38 39 30 16 34 29 29 41 42 26 34 41 20 42 11 29 38 34 40 39 17 20 14 19 13 19 19 14 26 23 19 12 36 26 15 15 25 14 11 31 11 12 26 41 28 23 33 32 34 32 28 44 20 18 25 14 25 40 22 42 39 34 33 18 41 30 44 11 26 30 25 24 11 30 44 24 12 35 15 33 11 38 25 25 14 23 17 16

Explanation / Answer

Here' the correct answer:

BMI is the least predictable variable. We say this because in terms of Rsquare it has the least amongst all variables. Here are the details below:

I performed the regression analysis for all the variables and obtained the following Rsquare for the analysis:

With Speed as dependent variable: we obtain an Rsquare of .116, and a not significant p-value

With Height as dependent variable -we obtain an Rsquare of .118, and a not significant p-value

With Weight as dependent variable - we obtain an Rsquare of .113 and a not significant p-value

With BMI as dependent variable - we obtain an Rsquare of .08 and a not significant p-value

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