INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
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Chapter 14, Problem 10SE
To determine
Whether the given linear regression model
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Part c: What percentage of an adult size brain does a child have at age 10?
Part d: Determine whether the value from the model is larger or smaller than the value in the table.
Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.
Assuming a linear relationship, use the least- squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.
Interpret the meaning of the slope in this equation.
Predict the mean height for a tree that has a breast height diameter of 25 inches.
Height
Diameter at breast height
Bark thickness
122.0
20
1.1
193.5
36
2.8
166.5
18
2.0
82.0
10
1.2
133.5
21
2.0
156.0
29
1.4…
The November 24, 2001, issue of The Economist published economic data for 15
industrialized nations. Included were the percent changes in gross domestic product (GDP),
industrial production (IP), consumer prices (CP), and producer prices (PP) from Fall 2000
to Fall 2001, and the unemployment rate in Fall 2001 (UNEMP). An economist wants to
construct a model to predict GDP from the other variables. A fit of the model
GDP = , + P,IP + 0,UNEMP + f,CP + P,PP + €
yields the following output:
The regression equation is
GDP = 1.19 + 0.17 IP + 0.18 UNEMP + 0.18 CP – 0.18 PP
Predictor
Coef SE Coef
тР
Constant
1.18957 0.42180 2.82 0.018
IP
0.17326 0.041962 4.13 0.002
UNEMP
0.17918 0.045895 3.90 0.003
CP
0.17591 0.11365 1.55 0.153
PP
-0.18393 0.068808 -2.67 0.023
Predict the percent change in GDP for a country with IP = 0.5, UNEMP = 5.7, CP =
3.0, and PP = 4.1.
a.
b.
If two countries differ in unemployment rate by 1%, by how much would you predict
their percent changes in GDP to differ, other…
Chapter 14 Solutions
INTRODUCTORY STATISTICS (LOOSELEAF)
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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- Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00arrow_forwardWhy the regression line is a straight line rather than a curved line?arrow_forwardStatistics Canada produces consumer price indexes for several different categories. Shown here are the percentage changes in consumer price indexes over a period of 22 years for durable goods, semidurable goods, and nondurable goods. Also displayed are the percentage changes in total goods price index. Use these data and multiple regression to develop a model that attempts to predict the total goods index by the other three variables. Comment on the result of this analysis. Year TotalGoods DurableGoods SemidurableGoods NondurableGoods 1 85.7 89.4 91.9 83.2 2 86.4 90.4 92.5 83.8 3 87.8 92.5 93.4 85.2 4 86.8 96.0 94.2 81.6 5 88.4 99.0 94.9 82.9 6 89.9 100.8 95.4 84.4 7 91.2 101.6 97.0 86.0 8 91.4 101.5 97.7 86.1 9 93.1 101.5 99.2 88.4 10 96.0 100.8 99.6 93.3 11 98.4 100.1 100.3 97.4 12 100 100 100 100 13 101.9 99.2…arrow_forward
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