Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 14, Problem 41CRE
Life Expectancy and Gestation Periods for Animals Data were collected showing the gestation period (in days) and the average longevity (in years) for 32 animals. Assume that all conditions of the linear regression model hold. The data are available on this text’s website.
a. Make a
b. One animal lives much longer than we would expect, given its gestation period. Identify this animal.
c. From the data, find a confidence interval for the mean average longevity of animals with a gestation period of 266 days.
d. Humans have a gestation period of about 266 days. Does the confidence interval for the average life span for humans seem to fit what you know about humans’ life spans? Explain.
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The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. The table of caloric and sugar contents is shown in the attached image.
(a) x= 150 cal
(b) x=90 cal
(c) x= 175 cal
(d) x= 208 cal
The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not.
Calories, x Sugar, y
140 6
200 10
160 6
160 9
170 10
180 16
190 13
210 18
190 19
170 10
170 10
The equation of the regression line is ŷ = ______ x + ______
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
(a) x = 150 cal, (b) x = 90 cal, (c) x = 175 cal, (d) x = 208 cal…
Chapter 14 Solutions
Introductory Statistics
Ch. 14 - Predicting Test Scores A professor tells his class...Ch. 14 - Used-Car Values A student wishes to buy a used...Ch. 14 - Height and Age (Example 1) A doctor says he can...Ch. 14 - Units and Semesters The registrar at a small...Ch. 14 - Prob. 5SECh. 14 - Prob. 6SECh. 14 - Prob. 7SECh. 14 - Prob. 8SECh. 14 - Semesters and Credits (Example 4) Figure A shows a...Ch. 14 - Prob. 10SE
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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