For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.

ITEMS

TIME TO RUN A MARATHON

SHOE COLOR

HEIGHT

NUMBER ON AN ATHLETE'S JERSEY

GENDER

SIZE OF FLAT-SCREEN TELEVISION

HOURS SPENT STUDYING CORE

ICE CREAM FLAVOR

CALORIES IN DESSERTS

CATEGORY

Dummy Variables

Quantitative Variables

DUMMY VARIABLES:

The items include;

Shoe color,

Number on an athlete's jersey,

Gender,

Ice cream flavor

QUANTITATIVE VARIABLES: Items include;

Time to run marathon,

Height,

Size of flat-screen television,

Hours spent studying core,

Calories in desserts.

Explanation:

Time to run a marathon, height, size of flat–screen television, hours spent studying core, and calories in desserts are quantitative variables.

Shoe color, number on an athlete’s jersey, gender, and ice cream flavor are categorical/qualitative variables and need to be transformed into dummy variables. Note that although athlete’s jerseys have numbers, those values cannot be interpreted as real numbers.