Learning Materials
Features
Discover
Chapter 3: Q 39. (page 203)
Residual wins Refer to Exercise 37. The Chicago Cubs won the World
Page Number: 203 Series in 2016. They had 103 wins and spent $182 million on the payroll. Calculate and interpret the residual for the Cubs.
Residual is
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
Teaching and research A college newspaper interviews a psychologist about student ratings of the teaching of faculty members. The psychologist says, 鈥淭he evidence indicates that the correlation between the research productivity and teaching rating of faculty members is close to zero.鈥� The paper reports this as 鈥淧rofessor McDaniel said that good researchers tend to be poor teachers, and vice versa.鈥� Explain why the paper鈥檚 report is wrong. Write a statement in plain language (don鈥檛 use the word correlation) to explain the psychologist鈥檚 meaning.
Driving speed and fuel consumption Exercise 9 (page 171) gives data on the fuel consumption y of a car at various speeds x. Fuel consumption is measured in liters of gasoline per 100 kilometers driven, and speed is measured in kilometers per hour. A statistical software package gives the least-squares regression line y^=11.058鈥�0.01466x. Use the residual plot to determine if this linear model is appropriate. 
In addition to the regression line, the report on the Mumbai measurements says that r2 =0.95. This suggests that
a. although arm span and height are correlated, arm span does not predict height very accurately.
b. height increases by 0.95=0.97 cm for each additional centimeter of arm
span.
c. 95% of the relationship between height and arm span is accounted for by the regression line.
d. 95% of the variation in height is accounted for by the regression line with x = arm span. e. 95% of the height measurements are accounted for by the regression line with x = arm span.
Dem bones Archaeopteryx is an extinct beast that had feathers like a bird but teeth and a long bony tail like a reptile. Only six fossil specimens are known to exist today. Because these specimens differ greatly in size, some scientists think they are different species rather than individuals from the same species. If the specimens belong to the same species and differ in size because some are younger than others, there should be a positive linear relationship between the lengths of a pair of bones from all individuals. An outlier from
this relationship would suggest a different species. Here are data on the lengths (in centimeters) of the femur (a leg bone) and the humerus (a bone in the upper arm) for the five specimens that preserve both bones:
a. Make a scatterplot. Do you think that all five specimens come from the same species? Explain.
b. Find the correlation r step by step, using the formula on page 166. Explain how your value for r matches your graph in part (a).
More brains Refer to Exercise
a. Explain why it isn鈥檛 correct to say that the correlation is
b. What would happen to the correlation if the variables were reversed on the scatterplot?
Explain your reasoning.
c. What would happen to the correlation if brain weight was measured in kilograms instead of grams? Explain your reasoning.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine