kardal did a study to determine the correlation between mens heights, x, and their shoe sizes, y, and found…

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.

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 data range

The given height - values range from 60 to 72 inches. 80 inches is outside this range.

Step2: Understand interpolation and extrapolation

Interpolation is for values within the data - range, and extrapolation is for values outside. Predicting for 80 inches is extrapolation.

Step3: Evaluate 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, we can't say if the prediction of size 16 is reasonable without more information about the strength of the correlation and the model.

Answer:

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