Body measurements, Part III. Exercise 7.15 introduces data on shoulder girth and height of a group of individuals. 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 regression line for predicting height.
- (b) ?Interpret the slope and the intercept in this context.
- (c) ?Calculate R^2 of the regression line for predicting height from shoulder girth, and interpret it in the context of the application.
- (d) ?A randomly selected student from your class has a shoulder girth of 100 cm. Predict the height of this student using the model.
- (e) ?The student from part (d) is 160 cm tall. Calculate the residual, and explain what this residual means.
- (f) ?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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