Answer :

]]The explanator variable is amount of homework given and the response variable is student's test score.

Variable:

In math variable is an alphabet which is used to represent the unknown number.

Given,

A  teacher wants to determine if the amount of homework given to her students can be used to predict the students' test scores

Here we need to identify the explanatory variable and the response variable

While we looking in to the given situation, the we have identified that the two variables are used here is,

=> homework given.

=> Test score

While analyzing the variable we have identified that the explanatory variable defines the situation so it is homework given and the response variable defines the result of the scenario that is the students score.

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