Question
Height and Weight Using the data in the Studentsurver dataset contiaining the students' weight and height, we use technology to find that a regression line to predict weight (in pounds) from height (ininches) is Weight \( =-170+4.82 \) (Heigho. Click here for the dataset associated with this question (b) What is the slope of the line? Round your answer to two decimal places. Slope \( = \) i Interpret it in context. The slope gives
Ask by Collins Ramirez. in the United States
Feb 03,2025
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Answer
**(b) Slope \( = 4.82 \)**
**Interpretation:**
For each additional inch in height, the predicted weight increases by **4.82 pounds**.
Solution
**(b) What is the slope of the line?**
**Slope \( = 4.82 \)**
**Interpretation in Context:**
The slope of 4.82 indicates that for each additional inch in a student's height, their predicted weight increases by **4.82 pounds**. In other words, **for every one-inch increase in height, the weight is expected to increase by approximately 4.82 pounds**.
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Simplify this solution Mind Expander
The slope of the regression line is \(4.82\). This means that for every one-inch increase in height, the predicted weight of a student increases by approximately 4.82 pounds. In simpler terms, it indicates a positive relationship between height and weight; taller students tend to weigh more, which is a common observation! When interpreting the slope in a real-world context, it’s important to remember that while this model provides insight into the trend, individual weights may vary due to other factors such as muscle mass, body composition, and lifestyle. Therefore, while the model suggests a general pattern, it shouldn't be used to make definitive predictions for every student.
