Question

Consider the following statements, and choose the correct option.

Statement I: In general, the two axes of a scatter plot represent two variables.

Statement II: The dependent variable depends on an another variable, whereas the independent variable is an independent quantity.

Statement III: The scatter plot shows the relationship between the dependent variable and the independent variable.

• A. Only statement I is correct.
• B. Only statement I and II are correct.
• C. All the statements are correct.
• D. None of the statements are correct.

Answer 1

The correct option is C All the statements are correct.

Consider the following scatter plot for the amount of electricity consumed by different households on a particular day.


$\bullet$ Here, the horizontal axis represents the number of persons in different houses, and the vertical axis represents the consumption of electricity in respective houses.

Numer of people per house and the respective consumption of electricity are two variables.

$\therefore$ Statement I is correct.

$\bullet$ Here, the consumption of electricity depends on the number of people per household; hence, it is a dependent variable. Whereas the number of people per household cannot be controlled; hence, it is an independent variable.

$\therefore$ Statement II is also correct.

$\bullet$ In the scatter plot, we coarsely observe that the consumption of electricity increases with an increase in the number of people in a household.

$\therefore$ It can be concluded that the scatter plot shows a relationship between the independent and dependent variables.