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 scatter - plot 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 scatter - plot 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

Answer:

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

Explanation:

Step1: Analyze data range

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

Step2: Understand line of best fit

The line of best fit is used to make predictions for values within and outside the data set range. Since a line of best fit was used, a prediction for 80 inches can be made. And if the relationship modeled by the line of best fit is valid in the extended range, the prediction can be reasonable.