STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 11, Problem 37E
To determine
Comment on the advantages and disadvantages of drawing a random sample from cell phone exchanges compared with the randomly generated telephone numbers from non-cell phone exchanges.
Check whether these advantages and dis-advantages change over time in future.
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Use technology to find (a) the multiple regression equation for the data shown in the accompanying table, (b) the standard error estimate and interpret the result, and (c) the coefficient of
determination and interpret the result.
The accompanying table shows the total square footages (in billions) of retailing space at shopping centers, the numbers (in thousands) of shopping centers, and the sales (in billions of dollars) for
shopping centers for eight years.
Click the icon to view the data table on shopping center sales.
(a) What is the regression equation?
ŷ = 1 + ( )×₁ + (1)×2
(Round to two decimal places as needed.)
(b) The standard error is ☐
(Round to two decimal places as needed.)
Interpret the standard error. Choose the correct answer below.
Shopping center sales
Sales, y
Total square footage, X₁
Shopping centers, X2
123.4 211.5 385.6 475.5 641.3 716.5 768.2 806.8 851.7 893.9 933.7
1.3 2.8 3.3 3.7 4.1 4.6 4.7 4.8 4.9 5.0 5.1
13.6 17.3 22.2 25.5 32.8 38.0 39.1 39.2 40.5 41.2…
Not use ai please
Find the regression equation.
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the
regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.
Hours spent studying, x
Test score, y
0
2
2
4
5
6
39
45
51
49
63
68
(a) x = 2 hours
(c) x = 12 hours
(b) x = 2.5 hours
(d) x 3.5 hours
y = x + (D
☐ x + (☐
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Choose the correct graph below.
A.
B.
Test score
0
80-
0
Π
8
Test score
80-
0-
0
Hours studying
Hours studying
(a) Predict the value of y for x = 2. Choose the correct answer below.
A. 47.2
B. 49.5
C. 54.0
D. not meaningful
(b) Predict the value of y for x = 2.5. Choose the correct answer below.
A. 54.0
B. 49.5
C.…
Chapter 11 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 11.2 - 1. Various claims are often made for surveys. Why...Ch. 11.4 - 2. We need to survey a random sample of the 300...Ch. 11 - Prob. 1ECh. 11 - 2. Satisfied workers The managers of a large...Ch. 11 - Prob. 3ECh. 11 - Prob. 4ECh. 11 - Prob. 5ECh. 11 - 6. Sampling satisfaction A company hoping to...Ch. 11 - Prob. 7ECh. 11 - 8. Satisfactory satisfaction samples For each...
Ch. 11 - Prob. 9ECh. 11 - 10. Happy employees The company plans to have the...Ch. 11 - Prob. 11ECh. 11 - 12. Surveying employees The company of Exercise 2...Ch. 11 - Prob. 13ECh. 11 - 14. Student center survey For their class project,...Ch. 11 - Prob. 15ECh. 11 - Prob. 16ECh. 11 - Prob. 17ECh. 11 - Prob. 18ECh. 11 - Prob. 19ECh. 11 - Prob. 20ECh. 11 - Prob. 21ECh. 11 - In Exercises 17 to 23, for the reports about...Ch. 11 - Prob. 23ECh. 11 - 24. Mistaken poll A local TV station conducted a...Ch. 11 - Prob. 25ECh. 11 - 26. Parent opinion, part 1 In a large city school...Ch. 11 - Prob. 27ECh. 11 - 28. Churches For your political science class,...Ch. 11 - 29. Playground Some people have been complaining...Ch. 11 - 30. Roller coasters An amusement park has opened a...Ch. 11 - 31. Playground, act two The survey described in...Ch. 11 - 32. Wording the survey Two members of the PTA...Ch. 11 - 33. Banning ephedra An online poll on a website...Ch. 11 - 34. Survey questions Examine each of the following...Ch. 11 - Prob. 35ECh. 11 - 36. Phone surveys Any time we conduct a survey, we...Ch. 11 - 37. Cell phone survey What about drawing a random...Ch. 11 - 39. Fuel economy Occasionally, when I fill my car...Ch. 11 - 40. Accounting Between quarterly audits, a company...Ch. 11 - 41. Happy workers? A manufacturing company employs...Ch. 11 - 42. Quality control Sammy’s Salsa, a small local...Ch. 11 - 43. A fish story Concerned about reports of...Ch. 11 - 45. Sampling methods Consider each of these...Ch. 11 - 46. More sampling methods Consider each of these...
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- In a survey of 2727 adults, 1463 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. (D). A. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval. B. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval. ○ C. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.arrow_forwardA research center claims that at least 28% of adults in a certain country think that their taxes will be audited. In a random sample of 600 adults in that country in a recent year, 25% say they are concerned that their taxes will be audited. At a = 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (d) below. ... (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At least B. Less than % of adults in the country think that their taxes will be audited. % of adults in the country think that their taxes will be audited. C. The percentage of adults in the country who think that their taxes will be audited is not %. D. % of adults in the country think that their taxes will be audited. Let p be the population proportion of successes, where a success is an adult in the country who thinks that…arrow_forwardThe table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. Construct a 90% prediction interval for sales when the total square footage is 5.7 billion. The equation of the regression line is y = 567.939x - 1985.560. Total 4.9 5.2 5.3 5.4 5.5 5.6 5.9 5.9 5.9 6.1 Square Footage, x Sales, y 880.1 935.5 989.5 1056.9 1100.7 1201.9 1283.4 1346.3 1434.8 1549.5 Click the icon to view a table of critical values for the t-distribution. Construct a 90% prediction interval for the sales when the total square footage is 5.7 billion. Choose the correct prediction interval below, rounded to the nearest million dollars.arrow_forwardThe maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.941. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 205 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r (Round to three decimal places a going from 0.941 to - gets stronger, gets weaker, stays the same,arrow_forwardYou receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. 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Hoμ≥85,000 Haμ85,000 Haμ≤85,000 (Round the final answer to two places as needed. Round all intermediate values to three places as needed.) (c) Find the P-value. Use technology. (Round to three decimal places as needed.) (d) Decide whether to reject…arrow_forwardI would like to get help to know how to make a report of the multiple regression analysis I performed about 30 employees salaries. it should include a description of the predictice model, pre-analysis, regression analysis, interpretation of the relevant findings and a conclusion with recommendations. thank youarrow_forwardTHE QUESTION: Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands. set.seed(1) e<-rnorm(n = 100,mean = 0,sd = 80) x<-seq(1,100,1) y<-10+15*x + e Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least three decimal places.) (a) The smallest value of y = (b) The largest value of y = (c) The standard deviation of y = (d) The mean of y = (e) The median of y = (f) The correlation between x and y = (g) Using the variable e as data, the p-value for a test of Ho = 0 vs. Hд μ0 is ANSWERS I HAVE TRIED THAT ARE NOT CORRECT ↓ Answer Preview (BESIDES F, F IS CORRECT) (A) -104.123 (B) 1545.84 (C) 448.543 (D) 752.347 (E) 775.533 (F) (G) 0.987 0.497 PLEASSSEEE DO NOT GIVE ME BACK THE SAME ANSWERS THAT I HAVE SAID ARE WRONG Result incorrect incorrect incorrect incorrect incorrect correct incorrectarrow_forward3:23 Search 1 of 2 UMCISI mville.brightspace.com onomic Statistics our grade, can be done as a 2 people's group) - Due date Sunday, 12/08/202 through Brightspace portal. College students' physical, emotional, and mental health are at the forefront of many national discussions and statistical studies. 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