Concept explainers
Four different beverages are sold at a fast-food restaurant: soft drinks, tea, coffee, and bottled water.
a. Explain why the type of beverage sold is an example of a categorical variable.
b. Explain why the type of beverage is an example of a nominal- scaled variable.
a.
Explain the reason for considering the type of beverage sold to be a categorical variable.
Explanation of Solution
According to the provided information, a particular fast-food restaurant sells four different types of beverages, which are soft drinks, tea, coffee and bottled water.
Categorical variables are ones that describe the qualities of the object of interest. Here, the type of beverages sold is categorized into 4 categories that describe the quality and type of beverage. So, the variable is a categorical variable.
b.
Explain why the type of beverages is a nominal scaled variable.
Explanation of Solution
Nominal scale of measurement is used for labelling a categorical variable, which is, more specifically, one that is not of a numerical nature and does not involve any order or ranking.
Here, the type of beverages is a categorical variable, where each type of beverage represents a different category that cannot be ordered in a specific order. Therefore, the variable is an example of a nominal-scaled variable.
Want to see more full solutions like this?
Chapter 1 Solutions
Basic Business Statistics, Student Value Edition
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Thinking Mathematically (6th Edition)
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
College Algebra (Collegiate Math)
Graphical Approach To College Algebra
Elementary Statistics: Picturing the World (7th Edition)
- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardA researcher wonders whether males get paid more, on average, than females at a large firm. She interviews 50 employees and collects data on each employee's hourly wage (Wage in $). years of higher education (EDUC), years of experience (EXPER), age (Age). and a Male dummy variable that equals 1if male, O otherwise. A portion of the data is shown in the accompanying table. EXPER Wage 39.98 23.71 EDUC Age 40 Male 6 39 19.63 11 64 Click here for the Excel Data File a. Estimate: Wage = Po +PEDUC + PEXPER + PAge + PaMale + e. (Negative values should be Indicated by a minus sign. Round your answers to 4 decimal places.) Predicted Wage EDUC EXPER Age Male b. Predict the hourly wage of a 40-year-old male and female employee with 10 years of higher education and 5 years experience. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.) 40-yoar-old male 40-year-old fermale Predicted Wage per hour per hour c-1. Interpret the estimated coefficient for…arrow_forwardThe data were collected from a statistics clàss. The column head gives the variable, and each of the other rows represents a student in the class. Explain why the variable Male, is categorical, even though its values are numbers. Often, it does not make sense, or is not even possible to add the values of a categorical variable. Does It make sense for Male? If so, what does the sum represent? Eye Shoe Color Size Weight (pounds) Number College Units of Siblings This Term Male Age Height (inches) Handedness 16 Right Left 20 Hazel 8 67 210 20 Blue 10 72 190 3 15 1 15 Right Right 28 Brown 9.5 65 160 32 Blue 7 60 185 8. .... Explain why the variable Male is categorical, even though its values are numbers. O A. Male is categorical with one category. Its variable coding rule is that 1's represent males and 0's do not represent anything. O B. Male is categorical'with two categories. Its variable coding rule is that 1's represent males and O's represent females. OC. Male is categorical with two…arrow_forward
- The quantity of dissolved oxygen is a measure of water pollutants in rivers. Water samples were taken at three different locations in a river. You want to investigate whether the water pollution varied between locations, the independent variable in this study is: A. quantity of dissolved oxygen. B. water samples. C. river locations. D. polluted river. Answer B.arrow_forwardConsider the following statistics for a tennis player: Name: Vance McFarland age: 28 height: 191 cm country: ireland tournament wins: 14 average serving speed: 185 km h-1 ranking: 6 career prize money 3720000 euros classify each variable as categorical, discrete or continuous. must show all work or reasoning.arrow_forwardA survey asks questions about one's happiness and health. One would think that health plays a role in one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable.arrow_forward
- Social media: You are preparing to study the social media habits ofhigh school students. Describe two categorical variables and twoquantitative variables that you might record for each student.arrow_forwardThe quantity of dissolved oxygen is a measure of water pollutants in rivers. Water samples were taken at three different locations in a river. You want to investigate whether the water pollution varied between locations, the independent variable in this study is: quantity of dissolved oxygen. В. А. water samples. С. river locations. D. polluted river. A В Answerarrow_forwardA professor in a university is trying to conduct a research study. His study is trying to determine if his 8 am lecture is more interactive with him than his 2 pm lecture. What is the independent variable? How many levels are there for the independent variable? What is the dependent variable?arrow_forward
- Please help me better understand word problem. A researcher was investigating variables that might be associated with the academic performance of high school students. The data included the average Math SAS score of all high school seniors in the city that took the exam (labeled as the variable SAT-M), the average number of dollars per pupil spent on education by the city (labeled as the variable $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking). As part of the researcher's investigation, he ran the following multiple linear regression model as SAT-M=Beta0 + Beta1($Per Pupil) + Beta2(%Taking). This model was fit to the data using the method of least-squares, results shown inside of table within photo. Question: What's the 95% confidence interval for Beta1, (coefficient of variable $PerPupil). Then determine the interpretation for Beta2 (coefficient of %Taking variable).arrow_forwardPlease help me better understand word problem. A researcher was investigating variables that might be associated with the academic performance of high school students. The data included the average Math SAS score of all high school seniors in the city that took the exam (labeled as the variable SAT-M), the average number of dollars per pupil spent on education by the city (labeled as the variable $Per Pupil), and the percentage of high school seniors in the city that took the exam (labeled as the variable %Taking). The researcher ran the following multiple linear regression model as SAT-M=Beta0 + Beta1($Per Pupil) + Beta2(%Taking). This model was fit to the data using the method of least-squares, results shown inside of table within photo. What proportion of the variation in the variable SAT-M is explained by the explanatory variables $Per Pupil and %Taking?arrow_forwardConsider the following variables: A. Whether you own a television set. B. Your status as either a full-time or a part-time student. C. The number of students on campus. D. The price of your most recent haircut. E. Women’s Tennis Association singles rankings for female tennis players: 1= Dinara, 2= Serena, 3= Venus and 4= Elena. Which one of the following statements is/are nominal? Select one: 1.Only A. 2.A and B. 3.A, B, and E. 4.A, D, and E. 5.B, C, and E (Don't Hand writing in solution) .arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University