Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14.4, Problem 147E
a.
To determine
Obtain the linear
b.
To determine
Interpret the values of r in terms of linear relationship between two variables in question.
c.
To determine
Discuss the graphical interpretation of the value of r and verify with the graph obtained in exercise of section 14.2.
d.
To determine
Square r and compare the result with the value of coefficient of determination obtained in the corresponding exercise in Section 14.3.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Q. Table provided gives data on gross domestic product (GDP) for the United States for the years 1959–2005.
a. Plot the GDP data in current and constant (i.e., 2000) dollars against time.
b. Letting Y denote GDP and X time (measured chronologically starting with 1 for 1959, 2 for 1960, through 47 for 2005), see if the following model fits the GDP data:
Yt = β1 + β2 Xt + ut
Estimate this model for both current and constant-dollar GDP.
c. How would you interpret β2?
d. If there is a difference between β2 estimated for current-dollar GDP and that estimated for constant-dollar GDP, what explains the difference?
e. From your results what can you say about the nature of inflation in the United States over the sample period?
section 4.1 #30
In Exercises 25–30, determine whether the association between the two variables is positive or negative.
Weekly ice cream sales and weekly average temperature
Q1. The table provided gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 1960–2005. The base year of the indexes is 1992 = 100 and the indexes are seasonally adjusted.
a. Plot Y against X for the two sectors separately.
b. What is the economic theory behind the relationship between the two variables? Does the scattergram support the theory?
c. Estimate the OLS regression of Y on X.
Note: on the table ( 1. Output refers to real gross domestic product in the sector. 2. Wages and salaries of employees plus employers’ contributions for social insurance and private benefit plans. 3. Hourly compensation divided by the consumer price index for all urban consumers for recent quarters.)
Thank you!
Chapter 14 Solutions
Introductory Statistics (10th Edition)
Ch. 14.1 - Regarding linear equations with one independent...Ch. 14.1 - Prob. 2ECh. 14.1 - Consider the linear equation y = b0 + b1x. a....Ch. 14.1 - Prob. 4ECh. 14.1 - In Exercises 14.514.14, we give linear equations....Ch. 14.1 - Prob. 6ECh. 14.1 - In Exercises 14.5-14.14, we give linear equations....Ch. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - In Exercises 14.514.14, we give linear equations....
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - In Exercises 14.1514.22,we identify the...Ch. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Rental-Car Costs. During one month, the Avis...Ch. 14.1 - Air-Conditioning Repairs. Richards Healing and...Ch. 14.1 - Measuring Temperature. The two most commonly used...Ch. 14.1 - A Law of Physics. A ball is thrown straight up in...Ch. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Road Grade. The grade of a road is defined as the...Ch. 14.1 - Vertical Lines. In this section, we stated that...Ch. 14.2 - Regarding a scatterplot, a. identify one of its...Ch. 14.2 - Regarding the criterion used to decide on the line...Ch. 14.2 - Regarding the line that best fits a set of data...Ch. 14.2 - Regarding the two variables under consideration in...Ch. 14.2 - Using the regression equation to make predictions...Ch. 14.2 - Fill in the blanks. a. In the context of...Ch. 14.2 - For which of the following sets of data points can...Ch. 14.2 - For which of the following sets of data points can...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - In each of Exercises 14.4214.45, we have presented...Ch. 14.2 - For a data set consisting of two data points: a....Ch. 14.2 - Prob. 47ECh. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.48-14.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57, a. find the...Ch. 14.2 - In each of Exercises 14.48-14.57, a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - In each of Exercises 14.4814.57. a. find the...Ch. 14.2 - Prob. 58ECh. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - In each of Exercises 14.5814.63. a. find the...Ch. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - In each of Exercises 14.5814.63. a. find the...Ch. 14.2 - In each of Exercises 14.5814.63, a. find the...Ch. 14.2 - Tax Efficiency. In Exercise 14.58, you determined...Ch. 14.2 - Corvette Prices. In Exercise 14.59, you determined...Ch. 14.2 - Anscombes Quartet. In the article Graphs in...Ch. 14.2 - Study Time and Score. The negative relation...Ch. 14.2 - Age and Price of Orions. In Table 14.2, we...Ch. 14.2 - Wasp Mating Systems. In the paper "Mating System...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises I4.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.2 - Prob. 79ECh. 14.2 - In Exercises 14.7014.80, use the technology of...Ch. 14.2 - Prob. 81ECh. 14.2 - Time Series. A collection of observations of a...Ch. 14.3 - In this section, we introduced a descriptive...Ch. 14.3 - A measure of total variation in the observed...Ch. 14.3 - A measure of the amount of variation in the...Ch. 14.3 - A measure of the amount of variation in the...Ch. 14.3 - Prob. 87ECh. 14.3 - In Exercises 14.8814.97, we repeal the data and...Ch. 14.3 - In Exercises14.481497, we repeal the tiara and...Ch. 14.3 - In Exercises 14.8814.97, we repeat the data and...Ch. 14.3 - Prob. 91ECh. 14.3 - Prob. 92ECh. 14.3 - Prob. 93ECh. 14.3 - Prob. 94ECh. 14.3 - Prob. 95ECh. 14.3 - Prob. 96ECh. 14.3 - Prob. 97ECh. 14.3 - Applying the Concepts and Skills For Exercises...Ch. 14.3 - Prob. 99ECh. 14.3 - Prob. 100ECh. 14.3 - Prob. 101ECh. 14.3 - Prob. 102ECh. 14.3 - For Exercises 14.9814.103, a. compute SST, SSR,...Ch. 14.3 - Prob. 104ECh. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - Prob. 106ECh. 14.3 - Prob. 107ECh. 14.3 - Prob. 108ECh. 14.3 - Prob. 109ECh. 14.3 - Prob. 110ECh. 14.3 - Prob. 111ECh. 14.3 - Prob. 112ECh. 14.3 - Prob. 113ECh. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - In Exercises 14.10414.115, use the technology of...Ch. 14.3 - What can you say about SSE, SSR, and the utility...Ch. 14.3 - As we noted, because of the regression identity,...Ch. 14.4 - What is one purpose of the linear correlation...Ch. 14.4 - Prob. 119ECh. 14.4 - The symbol that is used for the linear correlation...Ch. 14.4 - A value of r close to 1 indicates that there is a...Ch. 14.4 - A value of r close to ____ indicates that there is...Ch. 14.4 - A value of r close to ____ indicates that the...Ch. 14.4 - A value of r close to 0 indicates that the...Ch. 14.4 - If y tends to increase linearly as x increases,...Ch. 14.4 - If y lends to decrease linearly as x increases,...Ch. 14.4 - If there is no linear relationship between x and...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - In each of Exercises 14.12814.130, determine...Ch. 14.4 - Answer true or false to the following statement...Ch. 14.4 - The linear correlation coefficient of a set of...Ch. 14.4 - The coefficient of determination of a set of data...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data front...Ch. 14.4 - Prob. 137ECh. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.13414.143, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - Prob. 147ECh. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - In Exercises 14.14414.149, we repeat data from...Ch. 14.4 - Height and Score. A random sample of 10 students...Ch. 14.4 - Prob. 151ECh. 14.4 - Prob. 152ECh. 14.4 - Prob. 153ECh. 14.4 - Prob. 154ECh. 14.4 - In Exercise 14.154-14.166, use the technology of...Ch. 14.4 - Prob. 156ECh. 14.4 - Prob. 157ECh. 14.4 - Prob. 158ECh. 14.4 - Prob. 159ECh. 14.4 - Prob. 160ECh. 14.4 - Prob. 161ECh. 14.4 - In Exercises 14.154-14.166, use the technology of...Ch. 14.4 - In Exercises 14.15414.166, use the technology of...Ch. 14.4 - Prob. 164ECh. 14.4 - Prob. 165ECh. 14.4 - In Exercises 14.154-14.166, use the technology of...Ch. 14.4 - The coefficient of determination of a set of data...Ch. 14.4 - Country Music Blues. A Knight-Ridder News Service...Ch. 14.4 - Prob. 169ECh. 14.4 - In each of Exercises 14.169 and 14.170, a....Ch. 14 - For a linear equation y = b0 + b1x, identify the ...Ch. 14 - Consider the linear equation y = 4-3x. a. At what...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - In Problems 35, answer true or false to each...Ch. 14 - Prob. 6RPCh. 14 - In Problems 35, answer true or false to each...Ch. 14 - Prob. 8RPCh. 14 - In each of Problems 911, fill in the blank. 9....Ch. 14 - Prob. 10RPCh. 14 - Prob. 11RPCh. 14 - Prob. 12RPCh. 14 - Prob. 13RPCh. 14 - Prob. 14RPCh. 14 - Prob. 15RPCh. 14 - Prob. 16RPCh. 14 - Prob. 17RPCh. 14 - Prob. 18RPCh. 14 - Prob. 19RPCh. 14 - Equipment Depreciation. A small company has...Ch. 14 - Graduation Rates. Graduation ratethe percentage of...Ch. 14 - Graduation Rates. Refer to Problem 21. a....Ch. 14 - Graduation Rates. Refer to Problem 21. a. Compute...Ch. 14 - Exotic Plants. In the article Effects of Human...Ch. 14 - In Problems 2527, use the technology of your...Ch. 14 - Prob. 26RPCh. 14 - Prob. 27RPCh. 14 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 14 - At the beginning of this chapter, we presented...
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
- A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5–10), the middle school (ages 11–13), and the high school (ages 14–18). A histogram summarizes their findings: Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4. Which of the following data sets is represented in the histogram? A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}arrow_forwardSeat Designs. In Exercises 13–20, use the data in the table below for sitting adult males and females (based on anthropometric survey data from Gordon, Churchill, et al.). These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. (Hint: Draw a graph in each case.) Sitting Back-to-Knee Length (inches) For males, find which is the length separating the bottom 90% from the top 10%.arrow_forwardEXERCISE 1.3arrow_forward
- In Exercises 13–24, draw a dependency diagram and write a Chain Rule formula for each derivative.arrow_forwardWhich of the following statements is the most true regarding the solubility of KCI in water? The solubility of KCI shows a strong positive linear correlation with the temperature of water. The solubility of KCI shows a weak positive linear correlation with the temperature of water. The solubility of KCI shows a strong negative linear correlation with the temperature of water. O The solubility of KCI shows a weak negative linear correlation with the temperature of water. The solubility of KCI doesn't appear to have a linear correlation with the temperature of water.arrow_forward21–23. Language enrollments. The line graph in Figure 2.28 shows total course enrollments in languages other than English in U.S. institutions of higher education from 1960 to 2009. (Enrollments in ancient Greek and Latin are not included.) Exercises 21 through 23 refer to this figure. 1,800,000 1,629,326 1.522.770 1,600,000 - 1,400,000 - 1347.036 1,200,000- 1,073,097 1,067,217 1,000.000 - 975.7m 963,930 883.222 1.06.603 922,439 960.588 B00,000 - 97.077 877.91 600,000 - 608,749 400.000 - 200,000 - 1960 1965 1968 | 1972 1977 1980 1983 1986 1990 1995 199 2002 2006 2009 1970 1974 Figure 2.28 Crauder, et al., Quantitative Literacy, 3e, © 2019 W. H. Freeman and Company FIGURE 2.28 Enrollments in languages other than English in U.S. institutions of higher education (2009). 21. During which time periods did the enrollments decrease? 22. Calculate the average growth rate per year in enrollments over the two periods 1960–1965 and 2006– 2009. Note that the time periods are not of the same…arrow_forward
- The body mass index (BMI) of a person is the person’s weight divided by the square of his or her height. It is an indirect measure of the person’s body fat and an indicator of obesity. Results from surveys conducted by the Centers for Disease Control and Prevention (CDC) showed that the estimated mean BMI for US adults increased from 25.0 in the 1960–1962 period to 28.1 in the 1999–2002 period. [Source: Ogden, C., et al. (2004). Mean body weight, height, and body mass index, United States 1960–2002. Suppose you are a health researcher. You conduct a hypothesis test to determine whether the mean BMI of US adults in the current year is greater than the mean BMI of US adults in 2000. Assume that the mean BMI of US adults in 2000 was 28.1 (the population mean). You obtain a sample of BMI measurements of 1,034 US adults, which yields a sample mean of M = 28.9. Let μ denote the mean BMI of US adults in the current year. Please Formulate the null and alternative hypothesesarrow_forwardA researcher is conducting a study to examine the relationship between age and agility. She recruited a sample of 50 participants, ranging in age from 20 – 65 years old, and asked them to perform a series of agility tests. Afterward, participants were given an average agility score, which was then used in a correlation analysis against participant age. The results of the study are as follows [r(50) = -0.97, p < 0.001]. Identify the correct interpretation below. A. There is a non-significant, weak, negative correlation between age and agility, suggest that as age increases, agility decreases B. There is a statistically significant, strong, negative correlation between age and agility, suggesting that as age increases, agility decreases C. There is a non-significant, moderate, positive correlation between age and agility, suggesting that there is no relationship between these two variables D. There is a statistically significant, strong positive correlation between age and…arrow_forwardThe file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY