Questions: Predict the girth for a length of 172 cm, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ŷ= cm (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because x=172 is not an x-value in the original data. C. It is not meaningful to predict this value of y because x=172 is well outside the range of the original data.

Solution Steps

To predict the girth for a length of 172 cm, we need to use a linear regression model if the relationship between length and girth is linear. First, we should check if 172 cm is within the range of the original data. If it is, we can use the linear regression equation to predict the girth. If it is outside the range, the prediction may not be meaningful.

To solve this problem, we need to determine whether it is meaningful to predict the girth for a length of 172 cm based on the given choices. Let's go through the steps to arrive at the correct choice.

The problem asks us to predict the girth for a length of 172 cm. We are given three choices:

• Choice A: Calculate the predicted girth using a regression model and round to two decimal places.
• Choice B: State that it is not meaningful to predict because 172 cm is not an x-value in the original data.
• Choice C: State that it is not meaningful to predict because 172 cm is well outside the range of the original data.

To determine the correct choice, we need to consider the context of the data:

• If 172 cm is within the range of the original data, and we have a regression model, we can use it to predict the girth (Choice A).
• If 172 cm is not an x-value in the original data but is within the range, we can still predict using the model, but this is not the case for Choice B.
• If 172 cm is outside the range of the original data, it is not meaningful to predict the girth (Choice C).

Since the problem does not provide the original data or the range, we must assume that the question is testing our understanding of extrapolation. If 172 cm is outside the range of the original data, it is not meaningful to predict the girth.

Final Answer