Denise conducts a study to find out which of three subway routes gets her to work in the shortest amount of time. in denise's experiment, the independent variable is the , and the dependent variable is the .

Independent variable : Subway routes

Dependent variable : Time

Explanation:

Dependent variable are outputs that are derived from an altered input . In other words the outcome depends on adjustment to a set of independent variable. In research and experiments , the variable output is always being tested to see how it will react to independent variable

Independent variable are the sets of variable that are manipulated in an experiment in order to know its effect on the variables that rely on it .Any changes to the independent variable will definitely affect the variables that depend on it .

In the question , we can see that the amount of time is dependent on the subway routes followed to work. Any changes to the route will affect the time in either ways.

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.

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