Chapter 12: Q.1.4 (page 777)
Based on the residual plot, do you expect your prediction to be too high or too low? Justify your answer.
Short Answer
Our predictions will be too low.
Chapter 12: Q.1.4 (page 777)
Based on the residual plot, do you expect your prediction to be too high or too low? Justify your answer.
Our predictions will be too low.
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Get started for freeRandom assignment is part of a well-designed comparative experiment because
(a) It is more fair to the subjects.
(b) It helps create roughly equivalent groups before treatments are imposed on the subjects.
(c) It allows researchers to generalize the results of their experiment to a larger population.
(d) It helps eliminate any possibility of bias in the experiment.
(e) It prevents the placebo effect from occurring
What is the correlation between the selling price and appraised value?
(a) 0.1126
(c) -0.861
(e) -0.928
(b) 0.861
(d) 0.928
Brawn versus brain How is the weight of an animal's brain related to the weight of its body?
Researchers collected data on the brain weight (in grams) and body weight (in kilograms) for species of mammals. The figure below is a scatterplot of the logarithm of brain weight against the logarithm of body weight for all species. The least-squares regression line for the transformed data is
Based on footprints and some other sketchy evidence, some people think that a large apelike animal, called Sasquatch or Bigfoot, lives in the Pacific Northwest. His weight is estimated to be about pounds, or kilograms. How big is Bigfootโs brain? Show your method clearly
An old saying in golf is โYou drive for show and you putt for dough.โ The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data from a random sample of of the nearly players on the PGA Tourโs world money list are examined. The average number of putts per hole and the playerโs total winnings for the previous season are recorded. A least-squares regression line was fitted to the data. The following results were obtained from statistical software.
A confidence interval for the slope of the population regression line is
(a)
(b)
(c)
(d)
(e)
Prey attracts predators Here is one way in which nature regulates the size of animal populations: high population density attracts predators, which remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. The researcher set up four large circular pens on sandy ocean bottoms off the coast of southern California. He chose young perch at random from a large group and placed 10,20,40 and60 perch in the four pens. Then he dropped the nets protecting the pens, allowing the bass to swarm in, and counted the perch left after two hours. Here are data on the proportions of perch eaten in four repetitions of this setup .
The explanatory variable is the number of perch (the prey) in a confined area. The response variable is the proportion of perch killed by bass (the predator) in two hours when the bass are allowed access to the perch. A scatterplot of the data shows a linear relationship.
We used Minitab software to carry out a least-squares regression analysis for these data. A residual plot and a histogram of the residuals are shown below. Check whether the conditions for performing inference about the regression model are met.
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