evaluating a prediction kardal did a study to determine the correlation between mens heights, x, and their…

evaluating a prediction 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.

evaluating a prediction 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.

Answer

Explanation:

Step1: Analyze the data range

The given height - values are 60, 65, 66, 68, 63, 72, 62, 69, 70. The value 80 is outside this range.

Step2: Understand interpolation and extrapolation

Interpolation is making a prediction within the range of known data points. Extrapolation is making a prediction outside the range of known data points. Since 80 is outside the given height - range, it is extrapolation.

Step3: Evaluate the prediction

Just because 80 inches is outside the given data range doesn't mean a prediction can't be made using the line of best fit. However, extrapolation is less reliable than interpolation. There is no way to say if the prediction of size 16 is reasonable without more information about the strength of the correlation and the line of best fit.

Answer:

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