Solution

The $\text{experimental units}$ are the individuals on whom an experiment is performed.

$$\textbf{experimental units}

$\textbf{Categorical/qualitative}$ variables places the individuals into a category, while a $\textbf{quantitative}$ variable is a numerical variable.

$\textbf{Discrete}$ data are restricted to defined separated values, for example integers or counts. $\textbf{Continuous}$ data are not restricted to defined separate values, but can occupy any value over a continuous range, for example decimal, rational or real numbers.

Data are $\textbf{univariate}$ when one variable is measured on one experimental unit. Data are $\textbf{bivariate}$ when two variables are measured on one experimental unit. Data are $\textbf{multvariate}$multivariate when more than two variables are measured on one experimental unit.

SOLUTION

(a) In this case, six vehicles are selected on which we determine the values of the variables and thus the experimental unit is a vehicle.

(b) The variables are the different column titles of the given table, except for "Vehicle" as this refers to the experimental units.

Type=Qualitative, because the different categories are Car, Truck, Van, Motorcycle.

Make=Qualitative, because the different categories are Honda, Toyota, Dodge, Harley-Davidson, Chevrolet

Carpool=Qualitative, because the different categories are Yes and No.

One-Way commute distance=Quantitative and continuous, because the distance takes on numerical values and decimal values are possible (for example, 23.6 miles).

Age of Vehicle=Quantitative and continuous, because the age takes on numerical values and decimal values are possible (for example, 4.5 years).

(c) The data is multivariate, because we are measuring 5 variables on one experimental unit (5$\geq$2).

Answers

a) Vehicle

(b) Type (Qualitative), Make (Qualitative), Carpool (Qualitative), One-Way Commute Distance (Quantitative and Continuous) and Age of Vehicle (Quantitative and Continuous)

(c) Multivariate

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