A study collected arm bone strength information for two groups of young men. The
ID: 2893891 • Letter: A
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 table below gives the bone strengths of the dominant and the nondominant arms for those 15 men.
The least-squares regression line for these data is
dominant = 2.76 + (0.934 nondominant)
(a) Plot the data. Use the bone strength in the nondominant arm as the explanatory variable and bone strength in the dominant arm as the response variable. Add the regression line to your plot.
(b) Use the scatterplot (a graphical summary) with the least-squares line (a graphical display of a numerical summary) to write a short paragraph describing this relationship. (Round your numeric answer to three decimal places.)
The relationship is ---Select--- weak strong and ---Select--- linear curved , and the variables have a ---Select--- negative positive association. Bone strength in the dominant arm increases about units for each unit increase in bone strength in the nondominant arm.
ID Nondominant Dominant ID Nondominant Dominant 1 15.6 16.4 9 15.9 20.2 2 25.1 26.8 10 13.7 18.6 3 17.9 18.6 11 17.7 18.6 4 19.1 22.0 12 15.4 15.2 5 12.0 14.8 13 14.4 16.1 6 20.0 19.7 14 14.1 15.0 7 12.3 13.1 15 12.3 12.9 8 14.4 17.5Explanation / Answer
a) top left graph is correct.
b)The relationship is strong and linear and the variables have a positive association. . Bone strength in the dominant arm increases about 0.934 units for each unit increase in bone strength in the nondominant arm.
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