Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 56CRE
Looking at the data about contacting mom (exercise 13.49), for which group (ethicists or other) could you perform a log trans-form, and for which group could you not? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A psychologist believed that as children get older, they engage in more “inactive activities” such as playing computer games, watching TV and surfing the internet. She collected data from 10 children. She recorded the age of each child and the amount of activity (in hours) the child engaged in per week.
Age
Activity
7
4.3
9
3.2
10
1
13
1.5
12
1.2
15
0.8
9
3
12
4
15
1.5
14
1.9
Using excel, obtain a scatterplot of the data. Discuss the relationship between age and activity based on the scatterplot. Using excel, obtain the simple linear regression linear regression line predicting activity from age.
Interpret the intercept and slope of the regression line. By hand, predict the amount of activity for age = 14. By hand, calculate the residual for age = 14
Using excel output, test the null hypothesis that the slope coefficient is zero using the p-value approach. Write one sentence interpreting the meaning of this result. Make sure to report the test statistic…
2. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental
units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and
pctstu the student population as a percentage of the total population. One model to test for a relationship is
log (rent) = Bo + B₁ log(pop) + ₂log (avginc) + B3pctstu + u,
(i) State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly
rents. State the alternative that there is an effect.
(ii) What signs do you expect for 3₁ and 3₂. Explain.
(iii) The equation estimated using 1990 data for 64 college town is
log (rent) = 0.043 + 0.066 log(pop) + 0.507 log (avginc) + 0.0056 pctstu
(0.844) (0.039)
(0.081)
(0.0017)
n = 64, R² = 0.458
What is wrong with the statement "A 10% increase in population is associated with about a 6.6% increase in rent"?
(iv) Test the hypothesis stated in…
An instructor teaching an 8 am class randomly samples a group of students who regularly attend class and records the volume of coffee each person drinks after 9 pm each evening and the average number of hours each person sleeps each night. Do you expect the association to be positive, negative, or expect no relationship? Explain why.
Chapter 13 Solutions
Introductory Statistics (2nd Edition)
Ch. 13 - What is the fundamental condition required for...Ch. 13 - In what situations are nonparametric statistics...Ch. 13 - In addition to random samples, what other...Ch. 13 - What summary statistics are best used to report...Ch. 13 - Prob. 5SECh. 13 - Prob. 6SECh. 13 - Log Transforms a. Find the log (base 10) of each...Ch. 13 - Log Transforms a. Find the log (base 10) of each...Ch. 13 - Geometric Mean Find the geometric mean for the...Ch. 13 - Prob. 10SE
Ch. 13 - Circuit City (Example 2) A statistics student who...Ch. 13 - Morning Routine A statistics student conducted a...Ch. 13 - Exercise Hours A statistics student was interested...Ch. 13 - Television Viewing A Nielsen poll asked people the...Ch. 13 - Lead Exposure (Example 3) Excessive lead levels...Ch. 13 - Juvenile Delinquents Dr. Kirkland R. Gable (in...Ch. 13 - The Stroop Effect Suppose you had to identify the...Ch. 13 - Reading Material on Colored Paper In the past,...Ch. 13 - Males’ Pulse Rates Students in a statistics class...Ch. 13 - Females’ Pulse Rates Refer to exercise 13.19. This...Ch. 13 - Ages of Brides and Grooms A random sample of the...Ch. 13 - Textbook Prices A student was interested in...Ch. 13 - Meat-Eating Behavior (Example 4) A researcher was...Ch. 13 - Credit Card Debt A statistics student who was...Ch. 13 - Texting Suppose a group of randomly selected...Ch. 13 - Sleep Typically, do men and women sleep different...Ch. 13 - Cell Phone Bills Cell phone bills (rounded to the...Ch. 13 - Weights of Athletes Data were collected on the...Ch. 13 - Happiness A StatCrunch survey of happiness...Ch. 13 - Soda A StatCrunch survey was done asking what...Ch. 13 - Sports and Extraversion (Example 5) Are students...Ch. 13 - Happiness Are women happier than men? A StatCrunch...Ch. 13 - College Students and Credit Card Debt In exercise...Ch. 13 - Soda Does soda constitute a larger part of the...Ch. 13 - Rainfall In a well-known study on the effects of...Ch. 13 - Rainfall Refer to exercise 13.35, which discussed...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Randomization Exercise 13.35 describes a...Ch. 13 - Ages of Married Couples You have date on the ages...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Voicemail Suppose you are interested in the length...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Ages of Students Suppose you have the ages of a...Ch. 13 - Car Repairs Suppose you want to determine whether...Ch. 13 - Grocery Prices Suppose a random sample of grocery...Ch. 13 - For exercises 13.39 through 13.46, choose from the...Ch. 13 - Ice Cream Cones McDonald’s claims that its ice...Ch. 13 - Average Body Temperatures Many people believe that...Ch. 13 - Contacting Mom Random samples of 30 professors of...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - 13.50 through 13.54 Texts Sent and Received...Ch. 13 - Geometric Mean The dotplot shows the number of...Ch. 13 - Looking at the data about contacting mom (exercise...Ch. 13 - Resampling Moms We performed a randomization test...Ch. 13 - Resampling Texts Using the data from Exercise...
Additional Math Textbook Solutions
Find more solutions based on key concepts
In Exercises 5-36, express all probabilities as fractions.
23. Combination Lock The typical combination lock us...
Elementary Statistics
Why is it difficult to define quality?
Introduction to Statistical Quality Control
Individuals in Jake’s study.
The Practice of Statistics for AP - 4th Edition
(a) For each data set, find the mean, median, and mode. (b) Discuss anything about the data that affects the us...
APPLIED STAT.IN BUS.+ECONOMICS
c
Solve.
70. Copy Center Account. Rachel’s copy-center bill for July was $327. She made a payment of $200 and t...
Developmental Mathematics (9th Edition)
To explain would this correlation increase, decrease or not change much if we remove the elephants.
Statistics Through Applications
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardWhat might a scatterplot of data points look like if it were best described by a logarithmic model?arrow_forward
- Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forwardUse log21=0,log22=1, and log24=2 to estimate log23.arrow_forward
- Would you include ros in a final model explaining CEO compensation in terms of firm performance?arrow_forwardAn online clothing company is keeping track of their customers purchases. Company also offers a credit card where customers get additional offers if they use that card when they make purchases from their online store. For those customers who has their credit card, the company has additional information such as age, yearly income, etc. The company management is interested in looking at the relationship between the income (in 1000s of dollars) and the total yearly purchases from their store for these credit card holders . They have gathered this information from a random sample of 42 credit card holders. Below provided is a partial MINITAB output for predicting the yearly purchases from the income. Identify the response and the predictor variable in this study. Write the equation of the least squares regression line for predicting the total yearly purchase from the income of the customer. What percentage of variation in total yearly purchase is explained by income of the customer?…arrow_forwardI use excel. I do not know what data anlysis toolpak to use, however, to find the answer, t stat, df, P, etc. I also don't know how to word Ho and Ha. Thanks! The data shown below are the initial weights and gains in weight (in grams) of female rats on a high protein diet from 24 to 84 days of age. The point of interest in these data is whether the gain in weight is related to (dependent on) the initial weight. If so, then feeding experiments on female rats can be made more precise by adjusting for differences in initial weights of the rats. Statistically test this with a regression analysis. Rat Number Initial Weight (gms) Weight Gain (gms) 1 50 128 2 64 159 3 76 158 4 64 119 5 74 133 6 60 112 7 69 96 8 68 126 9 56 132 10 48 118 11 57 107 12 59 106 13 46 82 14 45 103 15 65 104 What is the equation for the multiple regression? What is the best estimate of the amount of variance in Y which is due to its regression on the independent variables?arrow_forward
- Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total popula- tion. One model to test for a relationship is log(rent) = Bo + Bilog(pop) + Bilog(avginc) + Bpctstu + u. (i) State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. (ii) What signs do you expect for B, and B2? (iii) The equation estimated using 1990 data from RENTAL for 64 college towns is log(rent) = .043 + .066 log(pop) + .507 log(avginc) + .0056 pctstu (.844) (.039) (.081) (.0017) n = 64, R? = .458. What is wrong with the statement: “A 10% increase in population is associated with about a 6.6% increase in rent"? (iv) Test the hypothesis stated in part (i)…arrow_forwardJoey planted a tree in his yard. At the time of planting the tree was three years old and measured 0.29 m in height. Joey kept track of how the tree was growing over an eight year span and collected the data in the following table: Age of Tree (years) Height (m) 0.29 4. 0.53 1.62 6. 2.47 219 1.62 6. 2.47 3.18 8. 4.06 Determine the natural logarithm function in the form h(t) = a + bln(t), where h(t), in meters, after time, t, in years. Round the a and b values to the nearest hundredth. How long will it take for the tree to reach at least 10m? Round your answer to the nearest whole year. Type your answers in the answer box provided. 5.arrow_forwardThe r code for side by side boxplot of vitamind v newage and vitamin d v country. Scatterplot code for relationship between vitamin d level and age.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY