Answered

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

Answer :

Austine561

Answer:

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.

ayfat23

Variables that can be represented as quantitative variables are;

  • Time to run marathon,
  • Height,
  • Size of flat-screen television,
  • Hours spent studying core,
  • Calories in desserts.

Variables that can be represented as dummy variables are;

  • Shoe color,
  • Number on an athlete's jersey,
  • Gender,
  • Ice cream flavor

In linear regression model, both dummy as well as quantitative variables are been considered.

  • A quantitative variable serve as variables which gives reflection of a notion of magnitude.

  • Dummy variable can be regarded as variables that symbolize presence or absence of something or using values of  0 and 1.

Therefore, dummy variables serve as indicator variables.

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