Height and Weight Using the data in the StudentSurvey dataset containing the students' weight and height, we use technology to find that a regression tine to predict weight (in pounds) from height (in inches) is \[ \text { Weight }=-170+4.82(11 e i g h t) \] Click here for the dataset associated with this question (a) What weight does the line predict for a person who is 5 feet tall ( 60 inches)? Round your answer to one decimal place. \[ \text { Weight }= \] \( \square \) \( \square \) pounds What weight is predicted for someone 6 feet tall ( 72 inches)? Round your answer to two decimal places. \[ \text { Weight }= \] \( \square \) pounds

To predict weight based on height using the given regression equation: \[ \text{Weight} = -170 + 4.82 \times \text{Height} \] where **Height** is in inches. ### (a) Predicting Weight for a Person Who is 5 Feet Tall (60 inches) 1. **Convert height to inches**: \( 5 \text{ feet} = 60 \text{ inches} \) 2. **Plug the height into the regression equation**: \[ \text{Weight} = -170 + 4.82 \times 60 \] 3. **Calculate the weight**: \[ \text{Weight} = -170 + 289.2 = 119.2 \text{ pounds} \] **Predicted Weight**: \[ \boxed{119.2} \text{ pounds} \] ### (b) Predicting Weight for a Person Who is 6 Feet Tall (72 inches) 1. **Convert height to inches**: \( 6 \text{ feet} = 72 \text{ inches} \) 2. **Plug the height into the regression equation**: \[ \text{Weight} = -170 + 4.82 \times 72 \] 3. **Calculate the weight**: \[ \text{Weight} = -170 + 347.04 = 177.04 \text{ pounds} \] **Predicted Weight**: \[ \boxed{177.04} \text{ pounds} \]