Modern Business Statistics with Microsoft Excel (MindTap Course List)
5th Edition
ISBN: 9781285433301
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning
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Chapter 15.7, Problem 33E
a.
To determine
Find the dummy variables to represent the categorical variable.
b.
To determine
Obtain the multiple regression equation relating
c.
To determine
Interpret the parameters in the regression equation.
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Consider a regression study involving a dependent variable y, a quantitative independent variable x 1 , and a categorical independent variable with three possible levels (level 1, level 2, and level 3).
How many dummy variables are required to represent the categorical variable?
Write a multiple regression equation relating and the categorical variable to y.
Interpret the parameters in your regression equation.
Consider a regression study involving a dependent variable y, a quantitative independent variable x1, and a categorical independent variable with three possible levels (level 1, level 2, and level 3).
(i) How many dummy variables are required to represent the categorical variable?
(ii) Write a multiple regression equation relating x1, and the categorical variable to y.
PLEASE SHOW ALL HAND WRITTEN STEPS AND DO NOT USE EXCEL OR ANY SOFTWARE
Suppose you are to design an experiment for the following problems, identify the independent variable(IV), dependent variable (DV), two to three constant factors and the possible control (NEGATIVE OR POSITIVE) to be used in the experiment.
4. What is the effect of the amount of time spent on social media on a person’s anxiety level?Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________ 5. Do rice plants grow faster in saline water compared to pure water? Problem: ________________________________________________a. IV ________________________________________________b. DV _______________________________________________c. Constant __________________________________________d. Control Group ______________________________________
Example:
1. Does the type of glue affects…
Chapter 15 Solutions
Modern Business Statistics with Microsoft Excel (MindTap Course List)
Ch. 15.2 - 1. The estimated regression equation for a model...Ch. 15.2 - Consider the following data for a dependent...Ch. 15.2 - Prob. 3ECh. 15.2 - 4. A shoe store developed the following estimated...Ch. 15.2 - The owner of Showtime Movie Theaters, Inc. would...Ch. 15.2 - NFL Winning Percentage. The National Football...Ch. 15.2 - Prob. 7ECh. 15.2 - Scoring Cruise Ships. The Condé Nast Traveler Gold...Ch. 15.2 - The Professional Golfers Association (PGA)...Ch. 15.2 - Baseball Pitcher Performance. Major League...
Ch. 15.3 - 11. In exercise 1, the following estimated...Ch. 15.3 - 12. In exercise 2, 10 observations were provided...Ch. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - 15. In exercise 5, the owner of Showtime Movie...Ch. 15.3 - Prob. 16ECh. 15.3 - In part (d) of exercise 9, data contained in the...Ch. 15.3 - Prob. 18ECh. 15.5 - In exercise 1, the following estimated regression...Ch. 15.5 - Prob. 20ECh. 15.5 - Prob. 21ECh. 15.5 - Prob. 22ECh. 15.5 - Testing Significance in Theater Revenue. Refer to...Ch. 15.5 - Prob. 24ECh. 15.5 - The Condé Nast Traveler Gold List provides ratings...Ch. 15.5 - Prob. 26ECh. 15.6 - Prob. 27ECh. 15.7 - 32. Consider a regression study involving a...Ch. 15.7 - Prob. 33ECh. 15.7 - 34. Management proposed the following regression...Ch. 15.7 - Repair Time. Refer to the Johnson Filtration...Ch. 15.7 - Prob. 36ECh. 15.7 - The Consumer Reports Restaurant Customer...Ch. 15.8 - Prob. 40ECh. 15.8 - Exercise 5 gave the following data on weekly gross...Ch. 15.8 - The following table reports the price, horsepower,...Ch. 15.8 - Prob. 43ECh. 15 - 49. The admissions officer for Clearwater College...Ch. 15 - The personnel director for Electronics Associates...Ch. 15 - Prob. 46SECh. 15 - Recall that in exercise 44, the admissions officer...Ch. 15 - Recall that in exercise 45 the personnel director...Ch. 15 - Prob. 49SECh. 15 - Prob. 50SECh. 15 - Fortune magazine publishes an annual list of the...Ch. 15 - The National Basketball Association (NBA) records...Ch. 15 - Consumer Research, Inc., is an independent agency...Ch. 15 - Matt Kenseth won the 2012 Daytona 500, the most...Ch. 15 - When trying to decide what car to buy, real value...
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- The following factors are being considered in identifying the factors that are associated with labor productivity in a certain company. ▪ Labor productivity ▪ Worker▪ Method▪ Workspeed ▪ Workplacetemperature ▪ Workplace illumination ▪ Workplace noise▪ Age ▪ Salary▪ Job satisfaction a. Classify the response variables and regressor/explanatory variables in this regression analysis.b. Identify the indicator variables to be used for job satisfaction with a Likert scale of 1, 2, 3, 4, and 5 (5 being the highest) using xi (i = 1, 2, 3, ..., n) as the reference.arrow_forwardDo students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs?† Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.29 48,000 2.57 72,000 2.59 64,000 2.77 88,000 2.85 98,000 3.12 133,000 3.35 130,000 3.66 157,000 3.68 162,000 Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) ŷ = Find the value of the test statistic. (Round your answer to two decimal places.) = Find the p-value. (Round your answer to three decimal places.) p-value =arrow_forwardA research group is interested in the relationship between exposure to mold in households after a major hurricane and the onset of acute respiratory illness in children. Suppose an observational study is conducted over 10 years following the natural disaster and the following two-by-two table was created in order to address the relationship between exposure and outcome. Acute Respiratory Illness No Acute Respiratory Illness Total Mold 378 156 534 No Mold 73 260 333 Total 451 416 867 Calculate the incidence of acute respiratory illness in the exposed and unexposed. Calculate the relative risk for ARI due to exposure in this study Interpret your findings from part Barrow_forward
- Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs?† Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.27 48,000 2.57 72,000 2.59 62,000 2.77 86,000 2.85 96,000 3.12 133,000 3.35 130,000 3.66 157,000 3.68 162,000 #1) Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. (Let x = GPA, and let y = salary (in $). Round your numerical values to the nearest integer.) ŷ = #2) Find the value of the test statistic. (Round your answer to two decimal places.) #3)Find the p-value. (Round your answer to three decimal places.) p-value =arrow_forwardGiven the equation of a regression line is y = -5.5x - 9.4, what is the best predicted value for y given x = -3.1? Assume that the variables x and y have a significant correlation.arrow_forward
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