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An open box is to be made from a square piece of cardboard, 35 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . Determine the function, V, in terms of x, that represents the volume of the box.
Third-variable Problem
A scenario in research where an unmeasured variable causes or influences both variables of interest, potentially misleading interpretations of a correlation or relationship.
Causal Relationship
A connection between two events or states where one event is understood to be a direct result of the other.
Confounding Variable
An external variable that influences both the dependent and independent variables in a study, potentially skewing the results.
Observational Study
A study in which the researcher observes and records behavior or outcomes without manipulating variables.
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