Introductory Statistics
Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 14, Problem 3SE

Height and Age (Example 1) A doctor says he can predict the height (in inches) of a child between 2 and 9 years old from the child’s age (in years) by using the equation

Predicted Height = 31.78 + 2.45 Age

This tells us the deterministic part of the regression model. What factors might contribute to the random component? In other words, why might a child’s height not fall exactly on this line?

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esc An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the mice were measured an hour after the drug was ingested. For a random sample of 75 mice, the least-squares regression equation relating the dosage and heartrate was y = 72.53-1.61x. (In this equation, x represents the dosage, in milligrams, and y represents the heartrate, in beats per minute.) The standard error of the slope of this least-squares regression line is approximately 0.65. [ami] D 1 Based on this information, test whether there is a significant linear relationship between the drug dosage and the heartrate of a mouse and hour after drug ingestion by doing a hypothesis test regarding the population slope B₁. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the…
Weight (pounds) A random sample of 17 vehicles was chosen and the weights, in pounds, and gas mileage, in miles per gallon, were recorded. A scatterplot of the data and a linear regression model are shown in the figure above. The model predicts that a 2,200-pound vehicle will have a gas mileage of 31 miles per gallon and a 3,500-pound vehicle will have a gas mileage of 18 miles per gallon. What does the model predict for the gas mileage of a 4,000-pound vehicle? O 23 miles per gallon O 15 miles per gallon O 13 miles per gallon O 10 miles per gallon Gas Mileage (miles per gallon)

Chapter 14 Solutions

Introductory Statistics

Ch. 14 - Salaries Figure A shows a scatterplot of the...Ch. 14 - Prob. 12SECh. 14 - Wages of Twins Figure A shows a scatterplot of...Ch. 14 - Simulated Data Figure A shows a scatterplot of...Ch. 14 - Prob. 15SECh. 14 - Movie Budgets Do movies with bigger budgets tend...Ch. 14 - Education of Parents (Example 7) Each of 29...Ch. 14 - Education of Parents Refer to exercise 14.17 and...Ch. 14 - Student and Parent Heights A random sample of 29...Ch. 14 - Trash The weight of trash (in pounds) produced by...Ch. 14 - Prob. 21SECh. 14 - Prob. 22SECh. 14 - Trash and Confidence Intervals The output provided...Ch. 14 - Movie Budgets In exercise 14.16 you examined the...Ch. 14 - Predicted GPA A student who has been accepted by...Ch. 14 - Used BMWs A used-car dealer is purchasing 50 used...Ch. 14 - Predicted Height (Example 9) A mother wants to...Ch. 14 - Predicted GPA A dean of students at a college...Ch. 14 - Loggers A logging company has the diameter of each...Ch. 14 - Prob. 30SECh. 14 - House Prices (Example 10) Figure A contains the...Ch. 14 - Math SAT Score and GPA Figure A shows information...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - GPA and SAT The figure shows 95#37; prediction...Ch. 14 - Shoes and Heights The scatterplot shows shoe size...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - Baseball Players Figure A shows a scatterplot with...Ch. 14 - Predicting Education Figure A shows a scatterplot...Ch. 14 - Life Expectancy and Gestation Periods for Animals...Ch. 14 - Prob. 42CRE

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