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1. Using a few sentences, describe a situation in which two variables, which hav

ID: 3294902 • Letter: 1

Question

1. Using a few sentences, describe a situation in which two variables, which have the opposite relationship to the dependent variable, could interact; in other words, a situation where 1 independent variable mitigates the impact of the other independent variable on the dependent variable.

2.Todd standardizes his two independent variables and his dependent variable. What does he need to do next if he wants to conduct a regression that includes his two independent variables and their interaction to predict the dependent variable?

3.Cindy finds the standardized regression equation below. Calculate the simple slopes of the X1 variable using -1 standard deviation, +1 standard deviation and the mean of X2:

Ypred = 0.6X1 - 0.2X2 - 0.3X1X2

Explanation / Answer

Question 1:

Generally speaking, in any given model or equation, there are two types of variables:

Using Independent and Dependent Variables

The definition of an independent or dependent variable is more or less universal in both statistical or scientific experiments and in mathematics; however, the way the variable is used varies slightly between experimental situations and mathematics.

Example of Variables in Scientific Experiments

If a scientist conducts an experiment to test the theory that a vitamin could extend a person’s life-expectancy, then: