16. Shoulder girth and height is studied for a group of adults. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. a. Write the equation of the least squares regression line for predicting height. b. Interpret the slope and the intercept in this context. c. A randomly selected student from your class has a shoulder girth of 100 cm. Predict the height of this student using the model. d. The student from part (c) is 160 cm tall. Calculate the residual, and explain what this residual means. e. A one year old has a shoulder girth of 56 cm. Would it be appropriate to use this linear model to predict the height of this child?

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16. Shoulder girth and height is studied for a group of adults. The mean shoulder girth
is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm
with a standard deviation of 9.41 cm. The correlation between height and
shoulder girth is 0.67.
a. Write the equation of the least squares regression line for predicting height.
b. Interpret the slope and the intercept in this context.
c. A randomly selected student from your class has a shoulder girth of 100 cm.
Predict the height of this student using the model.
d. The student from part (c) is 160 cm tall. Calculate the residual, and explain what
this residual means.
e. A one year old has a shoulder girth of 56 cm. Would it be appropriate to use this
linear model to predict the height of this child?
Transcribed Image Text:16. Shoulder girth and height is studied for a group of adults. The mean shoulder girth is 107.20 cm with a standard deviation of 10.37 cm. The mean height is 171.14 cm with a standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.67. a. Write the equation of the least squares regression line for predicting height. b. Interpret the slope and the intercept in this context. c. A randomly selected student from your class has a shoulder girth of 100 cm. Predict the height of this student using the model. d. The student from part (c) is 160 cm tall. Calculate the residual, and explain what this residual means. e. A one year old has a shoulder girth of 56 cm. Would it be appropriate to use this linear model to predict the height of this child?
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