Learning Materials
Features
Discover
Chapter 3: Q 74. (page 197)
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from the arm span x:
Measurements are in centimeters (cm).
How much does height increase on average for each additional centimeter of arm span?
The correct option is (a)
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
What’s my grade? In Professor Friedman’s economics course, the correlation between the students’ total scores prior to the final examination and their final-examination scores is The pre-exam totals for all students in the course have mean and standard deviation The
final-exam scores have mean and standard deviation Professor Friedman has lost Julie’s final exam but knows that her total before the exam was He decides to predict her final-exam score from her pre-exam total.
(a) Find the equation for the appropriate least-squares regression line for Professor Friedman’s prediction. Interpret the slope of this line in context.
(b) Use the regression line to predict Julie’s final exam score.
(c) Julie doesn’t think this method accurately predicts how well she did on the final exam. Determine Use this result to argue that her actual score could have been much higher (or much lower) than the predicted value.
57. Bird colonies Refer to Exercises and . For the regression you performed earlier, and . Explain what each of these values means in this setting.
How much gas? In Exercise (page ), we examined the relationship between the average monthly temperature and the amount of natural gas consumed in Joan’s midwestern home. The figure below shows the original scatterplot with the least-squares line added. The equation of the least-squares line is
(a) Identify the slope of the line and explain what it means in this setting.
(b) Identify the y-intercept of the line. Explain why it’s risky to use this value as a prediction.
(c) Use the regression line to predict the amount of natural gas Joan will use in a month with an average temperature of °F.
Should you use this line to predict the rat’s weight at age years? Use the equation to make the prediction and think about the reasonableness of the result. (There aregrams in a pound.)
Measurements on young children in Mumbai, India, found this least-squares line for predicting height from the arm span Measurements are in centimeters (cm).
According to the regression line, the predicted height of a child with an arm span of 100 cm is about
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App