Question

For each variable, determine if it is the explanatory variable or response variable, and whether they are categorical or quantitative in the context of Student grade point average and student class rank.

a) Student grade point average: explanatory, quantitative; Student class rank: response, categorical
b) Student grade point average: explanatory, categorical; Student class rank: response, quantitative
c) Student grade point average: response, quantitative; Student class rank: explanatory, categorical
d) Student grade point average: response, categorical; Student class rank: explanatory, quantitative

Answer 1

The Student grade point average (GPA) is the explanatory, quantitative variable, and the Student class rank is the response, categorical variable.

Step-by-step explanation:

When analyzing relationships between variables, we need to determine which variable is the explanatory variable and which is the response variable, along with their types - whether they are categorical or quantitative. In the context of a student's grade point average (GPA) and class rank, the GPA could be considered as the explanatory variable because it explains or predicts the class rank. Therefore, the class rank would be the response variable because it is the outcome of the GPA. Additionally, the GPA is a quantitative variable because it represents a numeric value that can be averaged, while class rank can be seen as categorical, as it categorizes students into ordered levels (though it could also be argued to be quantitative if viewed as numerical rank order).

The correct answer to the initial question is: Student grade point average: explanatory, quantitative; Student class rank: response, categorical.