Bone strength. Osteoporosis is a condition where bones

Chapter , Problem 2.18

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QUESTION:

Bone strength. Osteoporosis is a condition where bones become weak. It affects more than 200 million people worldwide. Exercise is one way to produce strong bones and to prevent osteoporosis. Since we use our dominant arm (the right arm for most people) more than our nondominant arm, we expect the bone in our dominant arm to be stronger than the bone in our nondominant arm. By comparing the strengths, we can get an idea of the effect that exercise can have on bone strength. Here are some data on the strength of bones, measured in cm4 /1000, for the arms of 15 young men:9 Before attempting to compare the arm strengths of the dominant and nondominant arms, lets take a careful look at the data for these two variables. (a) Make a scatterplot of the data with the nondominant arm strength on the x axis and the dominant arm strength on the y axis. (b) Describe the overall pattern in the scatterplot and any striking deviations from the pattern. (c) Describe the form, direction, and strength of the relationship. (d) Identify any outliers. (e) Is the relationship approximately linear?

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QUESTION:

Bone strength. Osteoporosis is a condition where bones become weak. It affects more than 200 million people worldwide. Exercise is one way to produce strong bones and to prevent osteoporosis. Since we use our dominant arm (the right arm for most people) more than our nondominant arm, we expect the bone in our dominant arm to be stronger than the bone in our nondominant arm. By comparing the strengths, we can get an idea of the effect that exercise can have on bone strength. Here are some data on the strength of bones, measured in cm4 /1000, for the arms of 15 young men:9 Before attempting to compare the arm strengths of the dominant and nondominant arms, lets take a careful look at the data for these two variables. (a) Make a scatterplot of the data with the nondominant arm strength on the x axis and the dominant arm strength on the y axis. (b) Describe the overall pattern in the scatterplot and any striking deviations from the pattern. (c) Describe the form, direction, and strength of the relationship. (d) Identify any outliers. (e) Is the relationship approximately linear?

ANSWER:

Step 1 of 5

(a)

Scatterplot is drawn as below.

Scatterplot of non dominant and  dominant hand.

Non dominant is in x axis.

Dominant is in y axis.

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