Final answer:
The r-value indicates the correlation between height and weight, where a positive r-value means they are directly related. The linear equation represents this relationship, which can be used to predict weight from height or vice versa. Specific statistical details are needed to make precise predictions.
Step-by-step explanation:
The relationship between height and weight can indeed be studied mathematically using statistical methods. The r-value represents the degree of correlation between two variables, which in this case is height and weight. A positive r-value indicates that as one variable increases, so does the other. The classification of the correlation can range from weak to strong, depending on the r-value magnitude. The linear equation for this data would be in the form of y = mx + b, where 'm' is the slope and 'b' is the y-intercept. This equation is derived from a regression analysis that fits the best line through the data points on a scatterplot.
To make predictions based on a given height or weight, we would use the linear equation. For instance, to predict the weight of a 6-foot-9 person (which is 81 inches), we would substitute 81 for the 'x' variable in the linear equation. Conversely, to find out how tall a 303-pound person is, we would solve for 'x' given 'y' (weight). Without the specific r-value, linear equation, and other statistical details, these calculations cannot be completed accurately.