For each of the following​ variables, determine whether the variable is categorical or numerical. If the variable is​ numerical, determine whether the variable is discrete or continuous. a. Amount of time spent shopping for clothing in the past week b. Preferred brand of shoes c. Number of deliveries received at the household per week d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) a. Amount of time spent shopping for clothing in the past week is what kind of​ variable? categorical continuous numerical discrete numerical b. Preferred brand of shoes is what kind of​ variable? categorical discrete numerical continuous numerical c. Number of deliveries received at the household per week is what kind of​ variable? continuous numerical discrete numerical categorical d. Most likely time period during which shopping for clothing takes place is what kind of​ variable? continuous numerical discrete numerical categorical

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Answer:

a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL

b. Preferred brand of shoes = CATEGORICAL

c. Number of deliveries received at the household per week = DISCRETE NUMERICAL

d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL

Step-by-step explanation:

Determine whether variable is Categorical or Numerical (Discrete or continuous) :

Categorical variables are used in grouping data values into a defined set of classes or distinct groups. Numerical variables are those usually represented with numbers and this posses numerical meaning. Numerical variables can either be discrete when the values in the dataset are finite or continuous, when values aren't finite and usually uncountable.

a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL

b. Preferred brand of shoes = CATEGORICAL

c. Number of deliveries received at the household per week = DISCRETE NUMERICAL

d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL

Categorical Variables : b) Preferred shoe brand; & d) Likely period of shopping

Numerical Continuous Variable : a) Amount of shopping time ; & Numerical Discrete Variable : c) Number of deliveries

Numerical Variables, as the name denotes - can be expressed in numbers. Like : Number of variable x.

  • Discrete Variables are only in real values : like 1,2,3 etc.
  • Continuous Variables can take values between these real values also : like 1.4 , 1.5 , 2.8 etc. Example : Number of People is discrete, Height & Weight can be continuous.

Categorical Variables, as the name denotes - cant be expressed n numbers but rather in categories. Like : A person being man, woman or other gender.

A] Amount of time spent shopping for clothing in the past week : Numerical & Continuous, can be in decimal values like 2.8 , 4.5 hours etc

B] Preferred brand of shoes : Categorical Variable, will be amongst the brand names like Pima, Nuke etc

C] Number of deliveries received at the household per week : Numerical & Discrete , can be only in non decimal whole values - like 4 , 5 , 10 etc

D] Most likely time period during which shopping for clothing takes place : Categorical Variable, will be amongst the mentioned period of weeks or days - like weekday, weeknight, or weekend

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