# The explanatory variable in the given study. To determine:Whether the given explanatory variable is qualtitative or quantitative.

The explanatory variable in the given study.
To determine:Whether the given explanatory variable is qualtitative or quantitative.
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Explain:
Justification:
Explanatory variable: It is a type of independent variable, which can explain changes of the response variable. The researchers for a particular study of experiment manipulate an explanatory variable and there may be more than one explanatory variable. Lurking variable, confounding variable are the two types of explanatory variable.
Type of stain remover (gum or saliva) is an independent variable that is manipulated by researchers and it can explain the changes in the variables. There may be more than one explanatory variable. Thus, in the given study “Type of stain remover (gum or saliva)” is the explanatory variable.
Qualitative variable: A variable that is used for classification of individuals based on attributes or qualities or characteristic, are called categorical or qualitative variable.
Quantitative variable: A variable that provides numerical values of individual and arithmetic operations such as addition and subtraction produee meaningful sesults-are called quantitative variables.
In this problem, the variable is “Type of stain remover (gum or saliva)”. This variable denotes a quality or attributes (brand) and is used to classify the individuals according to their type of stain remover, even if numerical values are assigned to the chew levels, addition and subtraction (numerical measures) of these will not yield any meaningful results. Hence, “Type of stain remover (gum or saliva)” is a qualitative variable.