Bundle: Statistics for Business & Economics, Loose-Leaf Version, 13th + MindTap Business Statistics with XLSTAT, 1 term (6 months) Printed Access Card
13th Edition
ISBN: 9781337148092
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 14.6, Problem 39E
In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Wall street Journal, August 18, 2011) lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4.
City | Room Rate ($) |
Entertainment ($) |
Boston | 148 | 161 |
Denver | 96 | 105 |
Nashville | 91 | 101 |
New Orleans | 110 | 142 |
Phoenix | 90 | 100 |
San Diego | 102 | 120 |
San Francisco | 136 | 167 |
San Jose | 90 | 140 |
Tampa | 82 | 98 |
- a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89.
- b. Develop a 95% confidence interval for the
mean amount spent on entertainment for all cities that have a daily room rate of $89. - c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago.
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Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the
predictor (x) variable. Find the best predicted height of a male with a foot length of 272.8 mm. How does the result
compare to the actual height of 1776 mm?
Foot Length 281.9 278.3 252.9 258.7 279.2 258.0 274.2 262.3
Height
1785.0 1771.0 1675.9 1646.2 1858.8 1709.6 1788.7 1736.6
The regression equation is ŷ= + (x
y=
(Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.)
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Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 273.1 mm. How does the result compare to the actual height of 1776 mm?
Foot Length 282.0 278.0 252.7 259.0 278.9 257.8 274.1 262.3
Height
1785.0 1770.9 1676.3 1646.0 1859.3 1710.1 1789.3 1737.2
The regression equation is ŷ = + (x.
(Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.)
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The U.S. Postal Service is attempting to reduce the number of complaints made by the public against its workers. To facilitate this task, a staff analyst for the service regresses the number of complaints lodged against an employee last year on the hourly wage of the employee for the year. The analyst ran a simple linear regression in SPSS. The results are shown below.
What proportion of variation in the number of complaints can be explained by hourly wages?
From the results shown above, write the regression equation
If wages were increased by $1.00, what is the expected effect on the number of complaints received per employee?
Chapter 14 Solutions
Bundle: Statistics for Business & Economics, Loose-Leaf Version, 13th + MindTap Business Statistics with XLSTAT, 1 term (6 months) Printed Access Card
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- Does Table 1 represent a linear function? If so, finda linear equation that models the data.arrow_forwardOlympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forwardFind the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forward
- Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 273.3 mm. How does the result compare to the actual height of 1776 mm? Foot Length 281.9 278.1 253.3 259.4 279.1 257.8 273.6 262.2 Height 1785.0 1771.2 1676.2 1646.2 1858.9 1710.2 1788.7 1736.6 The regression equation is y=+x. X. (Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.) The best predicted height of a male with a foot length of 273.3 mm is mm. (Round to the nearest integer as needed.) How does the result compare to the actual height of 1776 mm? OA. The result is very different from the actual height of 1776 mm. OB. The result is exactly the same as the actual height of 1776 mm. OC. The result is close to the actual height of 1776 mm. OD. The result does not make sense given the context of the data.arrow_forwardThe U.S. Postal Service is attempting to reduce the number of complaints made by the public against its workers. To facilitate this task, a staff analyst for the service regresses the number of complaints lodged against an employee last year on the hourly wage of the employee for the year. The analyst ran a simple linear regression in SPSS. The results are shown below. The current minimum wage is $5.15. If an employee earns the minimum wage, how many complaints can that employee expect to receive? Is the regression coefficient statistically significant? How can you tell?arrow_forwardA FIFA World Cup football is dropped from 35 different heights (in cm) and the height of the bounce is recorded (in cm.) The regression analysis gives the model bounce = -0.1 +0.70 drop. Predict the height of the bounce if dropped from 64 cm. 44.7 cm 44.8 cm 64.6 cm 91.57 cm 44.9 cmarrow_forward
- Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 272.7 mm. How does the result compare to the actual height of 1776 mm? Foot Length 282.3 277.8 252.8 258.7 279.0 258.4 274.1 261.7 Height 1785.0 1771.0 1675.7 1645.7 1859.3 1710.2 1789.2 1737.0 The regression equation is ŷ = + (x. (Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.) The best predicted height of a male with a foot length of 272.7 mm is (Round to the nearest integer as needed.) How does the result compare to the actual height of 1776 mm? O A. The result is close to the actual height of 1776 mm. O B. The result is exactly the same as the actual height of 1776 mm. O C. The result is very different from the actual height of 1776 mm. O D. The result does not make sense given the context of the data. C mm.arrow_forwardListed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 272.8 mm. How does the result compare to the actual height of 1776 mm? Foot Length 281.8 277.9 253.3 259.2 279.0 258.0 274.0 262.4 Height 1784.7 1771.2 1676.0 1645.9 1858.9 1710.1 1788.9 1737.0 The regression equation is y=enter your response here+enter your response herex. (Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.) The best predicted height of a male with a foot length of 272.8 mm is enter your response heremm. (Round to the nearest integer as needed.)arrow_forwardAnswer the following question based on this scenario: A clinical psychologist identifies the relationship between the number of weeks spent in therapy at a hospital (X = hospital) and the number of strokes per week (Y = stroke), i.e. Y = 14.09 - 91(X). This is based on a sample of 50 patients and is associated with r = -.93. Using this information, answer the following question: How many strokes per week can you predict for a person who has been in hospital for 10 weeks?a) 4,49b) 4,99c) 14,09d) 91e) 13,18arrow_forward
- Listed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 273.1 mm. How does the result compare to the actual height of 1776 mm? Foot Length 282.0 278.0 253.1 258.8 279.0 258.0 274.4 262.2 Height 1785.3 1771.2 1675.9 1646.3 1859.2 1710.4 1789.2 1737.2 The regression equation is y=+x. (Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.) The best predicted height of a male with a foot length of 273.1 mm is mm. (Round to the nearest integer as needed.) How does the result compare to the actual height of 1776 mm? OA. The result is exactly the same as the actual height of 1776 mm. OB. The result is very different from the actual height of 1776 mm. OC. The result is close to the actual height of 1776 mm. OD. The result does not make sense given the context of the data.arrow_forwardListed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 100 mm Hg. Use a significance level of 0.05. Right Arm Left Arm 103 102 96 78 176 170 148 148 Click the icon to view the critical values of the Pearson correlation coefficient r 77 Q The regression equation is y=+x. (Round to one decimal place as needed.) 146 Given that the systolic blood pressure in the right arm is 100 mm Hg, the best predicted systolic blood pressure in the left arm is (Round to one decimal place as needed.) mm Hg.arrow_forwardListed below are foot lengths (mm) and heights (mm) of males. Find the regression equation, letting foot length be the predictor (x) variable. Find the best predicted height of a male with a foot length of 272.7 mm. How does the result compare to the actual height of 1776 mm? Foot Length Height 281.8 278.1 252.7 258.9 278.9 258,4 274.0 261.7 O 1785.3 1770.9 1676.3 1646.3 1859.3 1710.3 1789.2 1736.7 The regression equation is y=+ ( x. (Round the y-intercept to the nearest integer as needed. Round the slope to two decimal places as needed.) The best predicted height of a male with a foot length of 272.7 mm is mm. (Round to the nearest integer as needed.) How does the result compare to the actual height of 1776 mm? O A. The result is close to the actual height of 1776 mm. O B. The result is exactly the same as the actual height of 1776 mm. OC. The result is very different from the actual height of 1776 mm. O D. The result does not make sense given the context of the data.arrow_forward
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