1. The number of students present in class & the number of empty chairs

Type of correlation:
Justification:
Independent variable:
Dependent variable:

2. Speed of car & distance traveled to complete stop after brakes are applied

Type of correlation:
Justification:
Independent variable:
Dependent variable:

1. One increases, while the other decreases, students present effects empty chairs

2. both increase together, speed effects distance

An independent variable is the potential stimulus or cause, usually directly manipulated by the experimenter, so it could also be called a manipulative variable.

A dependent variable is the response or measure of results.

I don't know what you mean by "justification."

1. The type of correlation can be determined by examining the relationship between the number of students present in class and the number of empty chairs. To find the correlation, gather data on the number of students present in class and the number of empty chairs at different times or in different classrooms.

Justification: There is a positive correlation if an increase in the number of students present in class is associated with an increase in the number of empty chairs. This suggests that there are more students than available chairs, resulting in empty chairs. On the other hand, there would be a negative correlation if a decrease in the number of students present in class is associated with an increase in the number of empty chairs. In this case, there would be more chairs than students, resulting in empty chairs.

Independent variable: The number of students present in class. This is the variable that is being manipulated or controlled in the experiment.

Dependent variable: The number of empty chairs. This is the variable that is being measured or observed and is expected to change in response to the independent variable.

2. To determine the type of correlation between the speed of a car and the distance traveled to complete a stop after the brakes are applied, data on the speed of the car and the distance traveled to come to a stop must be collected.

Justification: There is generally expected to be a positive correlation between the speed of the car and the distance traveled to complete a stop after the brakes are applied. As the speed of the car increases, it typically takes a longer distance to come to a complete stop. Therefore, as the speed of the car increases, the distance traveled to complete a stop will also increase.

Independent variable: The speed of the car. This is the variable that is being manipulated or controlled in the experiment.

Dependent variable: The distance traveled to complete a stop after the brakes are applied. This is the variable that is being measured or observed and is expected to change in response to the independent variable.