STT quiz 2 (hw 2-2.1)

c. Give an example of a quantitative variable. Select all that apply. A. Age B. Number of siblings C. Sex D. Education level

A. Age B. Number of siblings

a. Is the​ variable, number of children​, categorical or​ quantitative? A. The number of children is a quantitative variable. Its values are numerical. B. The number of children is a categorical variable. Its values are numerical. C. The Number of children is a categorical variable. Its values are not numerical. D. The number of children is a quantitative variable. Its values are not numerical.

A. Number of children is a quantitative variable. Its values are numerical.

a. Is the variable categorical or​ quantitative? Why? A. Number of children in a family is a quantitative variable. Its values are not numerical. B. Number of children in a family is a quantitative variable. Its values are numerical. C. Number of children in a family is a categorical variable. Its values are not numerical. D. Number of children in a family is a categorical variable. Its values are numerical.

B. Number of children in a family is a quantitative variable. Its values are numerical.

b. Is the​ variable, number of children​, discrete or​ continuous? A. Number of children is a continuous variable since it has an infinite continuum of possible values. B. Number of children is a discrete variable since it has a finite number of possible values. C. Number of children is a continuous variable since it has a finite number of possible values. D. Number of children is a discrete variable since it has an infinite continuum of possible values.

B. Number of children is a discrete variable since it has a finite number of possible values.

b. Is the variable categorical or​ quantitative? Why? A. Profession is a quantitative variable. Its values are not numerical. B. Profession is a categorical variable. Its values are not numerical. C. Profession is a quantitative variable. Its values are numerical. D. Profession is a categorical variable. Its values are numerical.

B. Profession is a categorical variable. Its values are not numerical.

b. Give an example of each type. Choose the correct answer below. A. The number of copies of a video game sold is a discrete​ variable, while the number of cows on a farm is a continuous variable. B. The number of children in a family is a discrete​ variable, while the time it takes to run a marathon is a continuous variable. C. The distance between two cities is a discrete​ variable, while the number of pets in a household is a continuous variable. D. The weight of an animal is a discrete​ variable, while the height of a giraffe is a continuous variable.

B. The number of children in a family is a discrete​ variable, while the time it takes to run a marathon is a continuous variable.

b. Give an example of a categorical variable. Select all that apply. A. Height B. GPA C. Gender D. Religious affiliation

C. Gender D. Religious affiliation

a. Explain the difference between a discrete variable and a continuous variable. Choose the correct answer below. A. A discrete variable has observed values that are clustered in certain​ intervals, while a continuous variable has observed values that are evenly distributed throughout the distribution. B. A discrete variable has infinitely many possible​ values, while a continuous variable is usually a count. C. A discrete variable has each observation belong to one of a set of distinct​ categories, while a continuous variable has observations that take numerical values that represent different magnitudes of the variable. D. A discrete variable has possible values that are separate​ numbers, while a continuous variable has possible values that form an interval.

D. A discrete variable has possible values that are separate​ numbers, while a continuous variable has possible values that form an interval.

a. What is the difference between categorical and quantitative​ variables? A. A categorical variable is any characteristic observed in a study. A quantitative variable is the numerical value associated with each characteristic. B. A variable is called categorical if each observation belongs to one of a set of categories. A variable is called quantitative if observations on it can be placed into one singular categorical group. C. A variable is called categorical if each observation is measured numerically. A variable is called quantitative if observations on it represent different magnitudes of the variable. D. A variable is called categorical if each observation belongs to one of a set of categories. A variable is called quantitative if observations on it take numerical values that represent different magnitudes of the variable.

D. A variable is called categorical if each observation belongs to one of a set of categories. A variable is called quantitative if observations on it take numerical values that represent different magnitudes of the variable.

c. Is the variable categorical or​ quantitative? Why? A. Number of sick days taken in a year is a categorical variable. Its values are not numerical. B. Number of sick days taken in a year is a quantitative variable. Its values are not numerical. C. Number of sick days taken in a year is a categorical variable. Its values are numerical. D. Number of sick days taken in a year is a quantitative variable. Its values are numerical.

D. Number of sick days taken in a year is a quantitative variable. Its values are numerical.

d. Is the variable categorical or​ quantitative? Why? A. Political party preference is a quantitative variable. Its values are not numerical. B. Political party preference is a quantitative variable. Its values are numerical. C. Political party preference is a categorical variable. Its values are numerical. D. Political party preference is a categorical variable. Its values are not numerical.

D. Political party preference is a categorical variable. Its values are not numerical.