To find the weight of a cheetah that runs 7 miles using the given line of best fit \( y = 195 - 7.3z \):
- Substitute \( z = 7 \) into the equation: \[ y = 195 - 7.3(7) \] \[ y = 195 - 51.1 \] \[ y = 143.9 \]
So the estimated weight of a cheetah that runs 7 miles is 143.9 pounds.
Now, to determine whether this situation involves interpolation or extrapolation:
- Interpolation occurs when you predict a value within the range of the data points provided.
- Extrapolation occurs when you predict a value outside of the range of the data points provided.
In your data, the cheetah runs between 1 and 8 miles. Since 7 miles falls within that range, this is considered interpolation.
Therefore, the correct statement is: 143.9 pounds and interpolation.