Question

The value of an explanatory variable is 5, while the corresponding value of the response variable is 15. What would be the coordinates of this data point when plotted on a scatterplot?

A. (5,20)
B. (15,5)
C. (20,5)
D. (5,15)

Answer 1

An explanatory variable is a type of independent variable. A response variable is a type of dependent variable. An explanatory variable is used to predict or explain differences in the response variable.

The first coordinate corresponds to independent variable and the second coordinate corresponds to dependent variable.

Since independent variable takes value 5 and dependent variable takes value 15, then the point (5,15) would be the point when plotted on a scatterplot.

Answer: correct choice D

Answer 2

Answer: D. (5,15)

Explanation:

• In mathematical modelling ,the explanatory variable is kind of independent variable manipulated by the researcher for the given experimental study.where as response variable is a kind of dependent variable which depends on the explanatory values input by researcher.

Since , we know that on coordinate axis the independent variable is represented by x axis whereas dependent variable is represented by y axis.

∴ The coordinates of the value of an explanatory variable is 5, while the corresponding value of the response variable is 15 when plotted on a scatter-plot gives point =(5,15)