Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 8, Problem 14CR
(a) Define the standard error of the proportion. (b) What happens to the standard error as
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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 8 Solutions
Applied Statistics in Business and Economics
Ch. 8.2 - Find the interval zn,+zn within which 90 percent...Ch. 8.2 - Find the interval zn,+zn within which 95 percent...Ch. 8.2 - The diameter of bushings turned out by a...Ch. 8.2 - Concerns about climate change and CO2 reduction...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - (a) Find the standard error of the mean for each...Ch. 8.3 - The fat content of a pouch of Keebler Right Bites...Ch. 8.3 - The fuel economy of a 2011 Lexus RX 350 2WD 6...Ch. 8.4 - Construct a confidence interval for assuming that...Ch. 8.4 - Construct a confidence interval for assuming that...
Ch. 8.4 - Use the sample information x = 2.4, = 0.15, n = 9...Ch. 8.4 - Use the sample information x = 37, = 5, n = 15 to...Ch. 8.4 - A random sample of 25 items is drawn from a...Ch. 8.4 - A random sample of 100 items is drawn from a...Ch. 8.4 - The fuel economy of a 2011 Lexus RX 350 2WD 6...Ch. 8.4 - Guest ages at a Vail Resorts ski mountain...Ch. 8.4 - The Ball Corporations beverage can manufacturing...Ch. 8.5 - Find a confidence interval for assuming that each...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - For each value of d.f. (degrees of freedom), look...Ch. 8.5 - A random sample of 10 items is drawn from a...Ch. 8.5 - A random sample of 25 items is drawn from a...Ch. 8.5 - A sample of 21 minivan electrical warranty repairs...Ch. 8.5 - A random sample of 16 pharmacy customers showed...Ch. 8.5 - A random sample of monthly rent paid by 12 college...Ch. 8.5 - A random sample of 10 shipments of stick-on labels...Ch. 8.5 - Prof. Green gave three exams last semester. Scores...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Calculate the standard error of the sample...Ch. 8.6 - Should p be assumed normal? a. n = 200, = .02 b....Ch. 8.6 - Should p be assumed normal? a. n = 25, =.50 b. n...Ch. 8.6 - Find the margin of error for a poll, assuming that...Ch. 8.6 - A car dealer is taking a customer satisfaction...Ch. 8.6 - In a sample of 500 new websites registered on the...Ch. 8.6 - From a list of stock mutual funds, 52 funds were...Ch. 8.6 - Of 43 bank customers depositing a check, 18...Ch. 8.6 - A survey showed that 4.8 percent of the 250...Ch. 8.7 - Calculate the FPCF for each sample and population...Ch. 8.7 - Use the following informationx=50, = 15, n = 90,...Ch. 8.7 - Use the following informationx=3.7, s = 0.2, n =...Ch. 8.7 - A random survey of 500 students was conducted from...Ch. 8.8 - For each level of precision, find the required...Ch. 8.8 - Last year, a study showed that the average ATM...Ch. 8.8 - The EPA city/hwy mpg range for a Saturn Vue FWD...Ch. 8.8 - Popcorn kernels are believed to take between 100...Ch. 8.8 - Analysis showed that the mean arrival rate for...Ch. 8.8 - Noodles Company wants to estimate the mean...Ch. 8.8 - In an intra-squad swim competition, mens freestyle...Ch. 8.8 - The city fuel economy of a 2009 Toyota 4Runner 2WD...Ch. 8.9 - What sample size would be required to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - What sample size would be needed to estimate the...Ch. 8.9 - How large a sample size would be needed to...Ch. 8.9 - Inspection of a random sample of 19 aircraft...Ch. 8.10 - Find the 95 percent confidence interval for the...Ch. 8.10 - The weights of 20 oranges (in ounces) are shown...Ch. 8.10 - A pediatricians records showed the mean height of...Ch. 8.10 - Find the 90 percent confidence interval for the...Ch. 8 - Define (a) parameter, (b) estimator, (c) sampling...Ch. 8 - Explain the difference between sampling error and...Ch. 8 - Name three estimators. Which ones are unbiased?Ch. 8 - Explain what it means to say an estimator is (a)...Ch. 8 - State the main points of the Central Limit Theorem...Ch. 8 - Why is population shape of concern when estimating...Ch. 8 - (a) Define the standard error of the mean. (b)...Ch. 8 - Define (a) point estimate, (b) margin of error,...Ch. 8 - List some common confidence levels. What happens...Ch. 8 - List differences and similarities between Students...Ch. 8 - Give an example to show that (a) for a given...Ch. 8 - Why do outliers and skewed populations pose a...Ch. 8 - (a) State the Central Limit Theorem for a...Ch. 8 - (a) Define the standard error of the proportion....Ch. 8 - When would you use the FPCF and what does it do to...Ch. 8 - Prob. 16CRCh. 8 - When calculating a sample size for a proportion,...Ch. 8 - Why would we be interested in a confidence...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - A random sample of 21 nickels measured with a very...Ch. 8 - A random sample of 10 miniature Tootsie Rolls was...Ch. 8 - Statistics students were asked to go home and fill...Ch. 8 - A sample of 20 pages was taken without replacement...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - A sample of 20 pages was taken from a Yellow Pages...Ch. 8 - Sixteen owners of 2010 Audi A4 sedans kept track...Ch. 8 - Twenty-five blood samples were selected by taking...Ch. 8 - Twenty-one warranty repairs were selected from a...Ch. 8 - Dave the jogger runs the same route every day...Ch. 8 - A pediatricians records showed the mean height of...Ch. 8 - A random sample of 10 exam scores showed a...Ch. 8 - A random sample of 30 lunch orders at Noodles ...Ch. 8 - During the Rose Bowl, the length (in seconds) of...Ch. 8 - A sample of 40 CDs from a student’s collection...Ch. 8 - The Environmental Protection Agency (EPA) requires...Ch. 8 - In a sample of 100 Planters Mixed Nuts, 19 were...Ch. 8 - A study showed that 14 of 180 publicly traded...Ch. 8 - How decaffeinated is decaffeinated coffee? If a...Ch. 8 - Noodles Company wants to estimate the percent of...Ch. 8 - Junior Achievement and Deloitte commissioned a...Ch. 8 - A random sample of 30 cans of Del Vino crushed...Ch. 8 - A poll of 125 college students who watch The Big...Ch. 8 - A survey of 4,581 U.S. households that owned a...Ch. 8 - A teen ethics poll was commissioned by Junior...Ch. 8 - Biting an unpopped kernel of popcorn hurts! As an...Ch. 8 - A sample of 213 newspaper tire ads from several...Ch. 8 - A physicians billing office conducted a random...Ch. 8 - Of 250 college students taking a statistics class,...Ch. 8 - (a) A poll of 2,277 likely voters was conducted on...Ch. 8 - To determine the proportion of taxpayers who...Ch. 8 - A sample of 40 CDs from a student’s collection...Ch. 8 - Vail Resorts would like to send a survey to their...Ch. 8 - This is an exercise using Excel. (a) Use...
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