Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 14, Problem 82PS
To determine
Find the appropriate multiple regression model and test whether all three independent variables should be included in the model.
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Perform a regression on two different variables within the attached data, and exaplin what the findings determine. What decision can be made?
A materials engineer working for a furniture manufacturer wants to evaluate the rigidity of the particle board used by the manufacturer. The engineer collects stiffness data from pieces of particle board that have different densities at different temperatures.
Determine the connection between the stiffness and the density of the wood.
What does Pierson's r tell us?
What is the regression between the stiffness and the density of the wood?
Write the equation of the linear regression?
density
rigidity
Temp
9.5
14.814
70.61056
8.4
17.502
73.34893
9.8
14.007
66.15377
11
19.443
70.05781
8.3
7.573
69.33919
9.9
14.191
69.12882
8.6
9.714
69.83351
6.4
8.076
64.36617
7
5.304
65.41039
8.2
10.728
67.76739
17.4
43.243
69.70053
15
25.319
66.93095
15.2
28.028
71.52362
16.4
41.792
66.60748
16.7
49.499
67.98685
15.4
25.312
64.29324
15
26.222
64.48343
14.5
22.148
71.3084
14.8
26.751
69.58755
13.6
18.036
71.13321
25.6
96.305
72.09707
24.4
72.594
67.32207…
Water is being poured into a large cone shape cistern. The volume of water measured and centimeters cubed is reported at different time intervals measured in seconds. A regression analysis was completed and is displayed in the computer output.
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Chapter 14 Solutions
Basic Business Statistics, Student Value Edition
Ch. 14 - For this problem, use the following multiple...Ch. 14 - For this problem, use the following multiple...Ch. 14 - A nonprofit analyst seeks to determine which...Ch. 14 - Profitability remains a challenge for banks and...Ch. 14 - The production of wine is a multibillion-dollar...Ch. 14 - Human resource managers face the business problem...Ch. 14 - Prob. 7PSCh. 14 - Prob. 8PSCh. 14 - The following ANOVA summary table is for a...Ch. 14 - The following ANOVA summary table is for a...
Ch. 14 - A financial analyst engaged in business valuation...Ch. 14 - In Problem 14.3 on page 541, you predicted...Ch. 14 - In Problem 14.5 on page 542, you used the...Ch. 14 - In Problem 14.4 on page 541, you used efficiency...Ch. 14 - In Problem 14.7 on page 542, you used the weekly...Ch. 14 - Prob. 16PSCh. 14 - Prob. 17PSCh. 14 - Prob. 18PSCh. 14 - In Problem 14.5 on page 542, you used the...Ch. 14 - Prob. 20PSCh. 14 - Prob. 21PSCh. 14 - Prob. 22PSCh. 14 - Prob. 23PSCh. 14 - Prob. 24PSCh. 14 - In Problem 14.3 on page 541, you predicted...Ch. 14 - In Problem on page 541, you used efficiency ratio...Ch. 14 - Prob. 27PSCh. 14 - In Problem 14.6 on page 542, you used full-time...Ch. 14 - Prob. 29PSCh. 14 - Prob. 30PSCh. 14 - The following is the ANOVA summary table for a...Ch. 14 - The following is the ANOVA summary table for a...Ch. 14 - In Problem 14.5 on page 542, you used alcohol...Ch. 14 - In Problem 14.4 on page 541, you used efficiency...Ch. 14 - Prob. 35PSCh. 14 - In Problem 14.6 on page 542, you used full-time...Ch. 14 - Prob. 37PSCh. 14 - Suppose X1 is a numerical variable and X2 is a...Ch. 14 - The chair of the accounting department plans to...Ch. 14 - A real estate association in a suburban community...Ch. 14 - In Problem 14.5 on page 542, you developed a...Ch. 14 - In mining engineering, holes are often drilled...Ch. 14 - The owner of a moving company typically has his...Ch. 14 - Prob. 44PSCh. 14 - Zagat’s publishes restaurant rating for various...Ch. 14 - In Problem 14.6 on page 542, you used full-time...Ch. 14 - In Problem 14.5 on page 542, the percentage of...Ch. 14 - Prob. 48PSCh. 14 - The director of a training program for a large...Ch. 14 - Prob. 50PSCh. 14 - Prob. 51PSCh. 14 - Prob. 52PSCh. 14 - Prob. 53PSCh. 14 - Prob. 54PSCh. 14 - Prob. 55PSCh. 14 - Prob. 56PSCh. 14 - Prob. 57PSCh. 14 - An automotive insurance company wants to predict...Ch. 14 - A marketing manager wants to predict customer with...Ch. 14 - A local supermarket manager wants to use two...Ch. 14 - Prob. 61PSCh. 14 - Prob. 62PSCh. 14 - Prob. 63PSCh. 14 - Prob. 64PSCh. 14 - Prob. 65PSCh. 14 - Prob. 66PSCh. 14 - Prob. 67PSCh. 14 - Prob. 68PSCh. 14 - Prob. 69PSCh. 14 - Prob. 70PSCh. 14 - Prob. 71PSCh. 14 - The owner of a moving company typically has his...Ch. 14 - Professional basketball has truly become a sport...Ch. 14 - A sample of 61 house recently listed for sale in...Ch. 14 - Measuring the height of a California redwood tree...Ch. 14 - A sample of 61 houses recently listed for sale in...Ch. 14 - Prob. 77PSCh. 14 - Referring to Problem 14.77, Suppose that an...Ch. 14 - Prob. 79PSCh. 14 - Prob. 80PSCh. 14 - Prob. 81PSCh. 14 - Prob. 82PSCh. 14 - Prob. 83PS
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- The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02arrow_forwardCan the average rate of change of a function be constant?arrow_forwardWhat is regression analysis? Describe the process of performing regression analysis on a graphing utility.arrow_forward
- Explain what a residual is and how this relates to the best-fit regression model.arrow_forwardDefine Curvilinear Regression?arrow_forwardIt is considered that the number of employees in the enterprise affects the number of production. Data are given below. What is the Regression Separation Sum of Squares (RAKT) in the validity of the regression model?arrow_forward
- create graph of the two-variable data with a regression line, r, r2, and separate residual plotarrow_forwardAnnual high temperature in a certain location have been tracked for several years. Let x represent the year and y the high temperature. Based on the data show below, calculate the regression linearrow_forwardTo estimate the relationship between Mustang price and mileage you set up the appropriate regression model.arrow_forward
- Calculate the estimated R2 and state why we should consider using adjusted R2 instead of R2 in the setting of multiple linear regression?arrow_forwardUse the regression line to make the appropriate prediction. A random sample of records of electricity usage of homes in the month of July gives the amount of electricity used and size (in square feet) of 135 homes. A regression was done to predict the amount of eleçtricity used (in kilowatt-hours) (y) from size (x). The residuals plot indicated that a inear model is appropriate. The model is y = 0.2x+ 1271. How much electricity would you predict would be used in a house that is 2471 square feet? 494.2 kilowatt-hours O 6000.00 kilowatt-hours O 1765.2 kilowatt-hours O 776.8 kilowatt-hours 3742.2 kilowatt-hoursarrow_forwardWhen doing linear regression, what does a large residual indicate?arrow_forward
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