this is the answer i gotSolutionThe regression line to predi

this is the answer i got.

Solution

The regression line to predict the age based on the median height of the boys ages 2 through 14 years of age

Y-predicted = 31.6 + 2.47 * X

Where,

X is the age of boys

Y-predicted is median height in inches

Therefore to predict median height of a 15 years old boy, we have X = 15

Y-predicted = 31.6 + 2.47 * 15

Y-predicted = 31.6 + 37.05 = 68.65 inches

This value is an extrapolation because the predicted value (height of 15 years old boy) is beyond the range of our given data set of the median height of the boys’ ages 2 through 14 years of age.

While interpolation values fall within the range of the given data set or between the existing data points therefore if you have to predict height of a boy between 2 years to 14 years then it will be an interpolation.