Question

2 11 points MintroStat9 2.E.070. My Notes 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 table below gives the bone strengths of the dominant and the nondominant arms for those 15 men ID Nondominant Dominant ID Nondominant Dominant 15.7 25.2 17.8 19.1 12.0 20.0 12.2 14.5 16.3 26.9 10 18.6 11 22.0 12 14.9 13 19.7 14 13.2 15 17.6 15.8 13.7 17.7 15.5 14.5 14.1 12.2 20.1 18.6 18.6 15.3 16.2 15.0 12.8 The least-squares regression line for these data is dominant- 2.853(0.929 x nondominant) A young male who is not a baseball player has a bone strength of 17.0 cm/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 eBook

Answer 1

Solution: The least-squares regression line for the given data is:

$\small dominant=2.853+(0.929 \times nondominant)$

We are given that a young male who is not a baseball player has a bone strength of 17.0 cm⁴ /1000 in his nondominant arm.

Therefore, the predicted bone strength in the dominant arm for this person is:

$\small dominant=2.853+(0.929 \times 17)$

  $\small =2.853+15.793$

  $\small =18.646\approx 18.6$

Therefore, the predicted bone strength in the dominant arm for this person is $\small \boldsymbol{ 18.6 cm^4/1000}$