A quality manager is developing a regression model to predict the total number of defects as a function of the day of week the item is produced. Production runs are done 10 hours a day, 7 days a week. The dependent variable is____________.

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Answer:

The dependent variable is "the total number of defect in the item produced"

Step-by-step explanation:

Variables are factors that have the tendency to take on any quantity at any given time unlike constants that have a specific value assigned to them that cannot be changed. There are mainly three types of variables; dependent variable, independent variable, and control variable.

Independent variable; an independent variable is one that the experimenter or scientist can assign a value at will, that means that it is a variable that is subject to change by the experimenter. In our example in this question, the dependent variable is "the day of the week", because the experimenter is in complete control of the day of the week to use, he can decide to use weekdays or weekends.

Dependent variable; a dependent variable is one whose outcome is determined by how the independent variable varies. It is usually outcome observed in an experiment. In our example, the dependent variable is "the total number of defect in the item produced" because this number depends on which day of the week for its outcome.

controlled variable; this is the variable in any experiment that can cause the same effect on outcome of the dependent variable as the independent variable, so to avoid biases, this variable is usually controlled or eliminated. In our example, a control variable can be a " the operator of a machine". someone with less expertise can produce defective items which may not necessarily be as a result of the day of the week, hence to control this, the same operators/workers are used throughout the production days.