Concept explainers
Regression and Predictions. Exercises 13–28 use the same data sets as Exercises 13–28 in Section 10-I. In each case, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493.
27. Sports Using the diameter/circumference data, find the best predicted circumference of a marble with a diameter of 1.50 cm. How does the result compare to the actual circumference of 4.7 cm?
Baseball | Basketball | Golf | Soccer | Tennis | Ping-Pong | Volleyball | Softball | |
Diameter | 7.4 | 23.9 | 4.3 | 21.8 | 7.0 | 4.0 | 20.9 | 9.7 |
Circumference | 23.2 | 75.1 | 13.5 | 68.5 | 22.0 | 12.6 | 65.7 | 30.5 |
Volume | 212.2 | 7148.1 | 41.6 | 5424.6 | 179.6 | 33.5 | 4780.1 | 477.9 |
28. Sports Using the diameter/volume data from the preceding exercise, find the best predicted volume of a marble with a diameter of 1.50 cm. How does the result compare to the actual volume of 1.8 cm3?
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Elementary Statistics (Custom Package)
- 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. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5 on page 493. 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?arrow_forwardThe regression model Yi=−303.8+1.5949X1i−0.0699X2i predicts standby hours based on total staff present, X1i, and remote hours, X2i, for week i. The data from which the model was constructed are provided. b. If appropriate, perform the Durbin-Watson test, using α=0.05. Determine the Durbin-Watson statistic.arrow_forwardIf the general linear regression model is given by the equation: y = a + b?; considering the informationobtained in Figure 2 above, compute the value of a.arrow_forward
- 6) part 4. Generate a abo plot for the asteroid data.arrow_forwardChapter 6, Section 4-D, Exercise 181 Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2.Samples of size 26 from Population 1 with mean 6.6 and standard deviation 4.0 and samples of size 44 from Population 2 with mean 8.5 and standard deviation 7.4Round your answer for the standard error to two decimal places.standard errorarrow_forwardSection 10.2 Question #8 Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 450metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports 226 270 364 488 525 Crash Fatality Rate 16.1 15.9 15.6 15.5 15.1 Find the equation of the regression line. y= ___________+( ____________)x (Round the y-intercept to three decimal places as needed. Round the slope to four decimal places as needed.) The best predicted crash fatality rate for a year in which there are 450 metric tons of lemon imports is _________ fatalities per 100,000 population. (Round to one decimal place as needed.)arrow_forward
- Chapter 5, Section 1, Exercise 019 MORE BENEFITS OF EATING ORGANICUsing specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing H0 : po= pcHa: po > pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5% significance level.Effect of Organic Bananas After 25 DaysAfter 25 days, the proportion of fruit flies eating organic bananas still alive is 0.42, while the proportion still alive eating conventional bananas is 0.40. The standard error for the difference in proportions is 0.029.What is the value of the test statistic?Round your answer to two decimal places. z= What is the p-value?Round your answer to…arrow_forwardThe quadratic regression equation shown below is for a sample of n=22. Determine the critical value(s).arrow_forward(1) Write out the regression equation (2) What is the sample size used in this investigation? (3) Determine the values of *, ** and ***, ****arrow_forward
- For the regression model Yi = b0 + eI, derive the least squares estimator.arrow_forwardFit a multiple linear regression model to the given data. as X1,X2,X5, and X6 as regressors.arrow_forwardSection 10.3 Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 11 14 20 28 31 34 Temperature 55 39 26 −2 −34 −41 −59 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman