A study collected arm bone strength information for two groups of young men. The

Question

A study collected arm bone strength information for two groups of young men. The first group in the study was a control group of 15 men who are not baseball players. The second group in the study comprised men who played baseball. We know that these baseball players use their dominant arm in throwing (those who throw with their nondominant arm were excluded), so they get more arm exercise than the controls. Here are the data for the baseball players.

Here is the equation of the least-squares line for the baseball players.

dominant = 0.962 + (1.371 nondominant)

QUESTION: A young male who is a baseball player has a bone strength of 18.0 cm4/1000 in his nondominant arm. Predict the bone strength in the dominant arm for this person. (Round your answer to one decimal place.)
                                                                     cm4/1000

ID Nondominant Dominant ID Nondominant Dominant 16 17.0 19.3 24 15.2 19.5 17 16.9 19.0 25 13.5 20.4 18 17.7 25.1 26 13.6 17.2 19 21.2 37.6 27 20.2 26.5 20 21.0 40.4 28 17.2 30.3 21 14.6 20.9 29 14.6 17.3 22 31.5 36.9 30 22.5 35.0 23 14.9 21.3

Explanation / Answer

Equation of least square line is,

Dominant=0.962+(1.371*Non dominant)

Nondominant arm= 18.0 cm4/1000

Dominant=0.962+(1.371*18)

=0.962+24.678

=25.64

=25.6 cm4/1000

Bone strength in the dominant arm= 25.6cm4/1000

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