Final answer:
Without the specific regression equations, we cannot provide the estimated average weight of 72-year-old patients or the estimated average age of patients who weigh 167 pounds. To solve such problems, we typically use the regression equation by substituting the given value and calculating the corresponding estimate.
Step-by-step explanation:
To estimate the average weight of patients who are 72 years old, we would use the regression equation predicting weight from height. However, since we are not provided with the specific regression equation, we cannot calculate the estimated average weight directly. In a typical scenario with a given regression equation in the form ý = a + bx (where a is the intercept and b is the slope), we would substitute the age 72 into the equation and solve for ý, which would give us the estimated average weight in pounds (rounded to two decimal places).
Similarly, to estimate the average age of the patients who weigh 167 pounds, we would use the regression equation with weight as the dependent variable and age as the independent variable. Again, without the actual regression equation, we cannot provide a numerical answer. With the regression equation, we would set the predicted weight to 167 pounds and solve for the corresponding age.
The correlation coefficient would help to determine if there is a significant linear relationship between the two variables. If we had the value of the correlation coefficient, we could also comment on the strength and direction of this relationship.