Iteght and Wight Using the data in the Studentsurvey dataset containing the students' weight and helght, we use techoogy to find that a regressic line to predict weight (in pounde) from height (in inches) is \[ \text { HWight }==170+4 . B 2(H \text { light }) \] Click here for the dataset associated with this questions (d) What weight does the regression line predict for a baby who is 20 inches long? Round your answer to one decimal place. \[ \text { Weight }= \] \( \square \) pounds Why is it not appropriate to use the regression line in this case? It is because \( \square \)

To determine the predicted weight for a baby who is 20 inches long using the given regression line: \[ \text{Weight} = 170 + 4.2 \times \text{Height} \] **Calculation:** \[ \text{Weight} = 170 + 4.2 \times 20 = 170 + 84 = 254.0 \text{ pounds} \] \[ \boxed{254.0} \text{ pounds} \] **Why is it not appropriate to use the regression line in this case?** It is because **20 inches is outside the range of heights in the dataset used to create the regression model**. Using the regression line to predict values outside the range of the original data (a process known as extrapolation) can lead to unreliable and inaccurate predictions. The model was developed based on the heights and weights of students, and a 20-inch height for a baby is not representative of the data used to create the regression equation.