Concept explainers
Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-1. In each case, find the regression equation, letting the first variable be the predictor (x) variable, hind the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.
13. Internet and Nobel Laureates Find the best predicted Nobel Laureate rate for Japan, which has 79.1 Internet users per 100 people. How does it compare to Japan’s Nobel Laureate rate of 1.5 per 10 million people?
Learn your wayIncludes step-by-step video
Chapter 10 Solutions
Elementary Statistics (13th Edition)
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Statistical Reasoning for Everyday Life (5th Edition)
Intro Stats
Intro Stats, Books a la Carte Edition (5th Edition)
- Sam Jones has 2 years of historical sales data for his company. He is applyingfor a business loan and must supply his projections of sales by month for thenext 2 years to the bank. a. Using the data from Table 6–12, provide a regression forecast for timeperiods 25 through 48.b. Does Sam’s sales data show a seasonal pattern?arrow_forwardNumber 16arrow_forwardThe 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…arrow_forward
- -Using the data in Table 6–11, answer the following: What is the slope? What is the intercept? Write the regression equation. Calculate a regression forecast for month 25.arrow_forwardSection 10.2 Question #9 The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min 981 1023 1074 1101 1203 874 Temperature (°F) 83 79.4 80.9 82.8 92.3 72.8 What is the regression equation? y= ___________+ ___________x (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.) What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000 chirps per minute is _________°F. (Round to one decimal place as needed.)arrow_forwardThe least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.arrow_forward
- Number 25arrow_forwardBirthrates 2009 The table shows the number of livebirths per 1000 women aged 15–44 years in the United States, starting in 1965. (National Center for Health Sta-tistics, www.cdc.gov/nchs/) a) Make a scatterplot and describe the general trend in Birth-rates. (Enter Year as years since 1900: 65, 70, 75, etc.) b) Find the equation of the regression line.c) Check to see if the line is an appropriate model. Explain.d) Interpret the slope of the line.e) The table gives rates only at 5-year intervals. Estimatewhat the rate was in 1978.f) In 1978, the birthrate was actually 15.0. How close didyour model come?g) Predict what the Birthrate will be in 2010. Commenton your faith in this prediction.h) Predict the Birthrate for 2025. Comment on your faithin this prediction.arrow_forwardThe least-squares regression equation is y=647.8x+17,858 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7507. predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree. Round to the nearest dollar as needed.arrow_forward
- 13) Use computer software to find the multiple regression equation. Can the equation be used for prediction? An anti-smoking group used data in the table to relate the carbon monoxide( CO) of various brands of cigarettes to their tar and nicotine (NIC) content. 13). CO TAR NIC 15 1.2 16 15 1.2 16 17 1.0 16 6. 0.8 1 0.1 1 8. 0.8 8. 10 0.8 10 17 1.0 16 15 1.2 15 11 0.7 9. 18 1.4 18 16 1.0 15 10 0.8 9. 0.5 18 1.1 16 A) CO = 1.37 + 5.50TAR – 1.38NIC; Yes, because the P-value is high. B) CÓ = 1.37 - 5.53TAR + 1.33NIC; Yes, because the R2 is high. C) CO = 1.25 + 1.55TAR – 5.79NIC; Yes, because the P-value is too low. D) CO = 1.3 + 5.5TAR - 1.3NIC; Yes, because the adjusted R2 is high. %3Darrow_forwardWhat is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time Score 3 4 73 16 2 15 10 3 95 61 67 67 88 90 75 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Hg: ?v = 0 H: ?v + 0 Round to 2 decimal places. The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that there is a correlation between the…arrow_forwardAlpha Into Slldes Do Homework - Homework 3 (1.1 & 1.2) - Google Chrome i mathxl.com/Student/PlayerHomework.aspx?homeworkld%360. MA 1313 - 01 Fall 2021 = Homework: Homewor... Quest Determine whether the given equations are linear or nonlinear. 1 3x =6 **5= -6 1 (+5%=-6 2x +1=8 Three equations are given below. Drag the linear equations into the bo Equations. 1 1 및+5= -6 | 3x-끼 "6 | 2/x +1-8 Linear Equations Nonlinear Equations Question Viewerarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage