Question

kardal did a study to determine the correlation between mens heights, x, and their shoe sizes, y, and found the following data: (60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5). kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. what can be concluded about this prediction? check all that apply. the prediction is reasonable. the prediction is an interpolation. no data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted. a prediction cannot be made for a man who is 80 inches tall. a man who is 80 inches tall will likely wear a size 12.5 shoe.

Explanation:

Interpolation is predicting within the range of known data points, and extrapolation is predicting outside the range. The given data points have heights ranging from 60 - 72 inches. Predicting for a man 80 inches tall is extrapolation. Since 80 inches is outside the observed height - range in the data set, we can't be sure of the accuracy, but a prediction can still be made using the line of best - fit.

Answer:

No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted.