The mean shoulder girth is 108.20 cm with the standard deviation of 10.37 cm. The mean height is 171.14 cm with standard deviation of 9.41 cm. The correlation between height and shoulder girth is 0.666.
(a) Write down the equation of the regression line for predicting height.
(b) Interpret the slope and intercept in context.
(c) A randomly selected student from your class has shoulder girth of 100 cm. Predict the height of this student.
(d) This student is actually 160 cm tall. Compute 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 employ this linear model to predict the height of this child?