Answer:
Correlation is positive
Step-by-step explanation:
We say that two variables are correlated if there exist some relationship between them: in other words, if the value of one variable increases/decreases as the other variable increases or decreases.
There are three types of correlation:
- Positive: when the value of one variable increases, the value other variable increases too
- Negative: when the value of one variable increases, the value of the other variable decreases
- Zero correlation: as the value of one variable increases, the other variable doesn't show a precise increase or decrease
In this problem, the two variables that we have are:
- t, the number of hours a plane is flying
- d, the number of miles flown by the plane
The two variables are related by the equation for uniform motion, which is:
[tex]d=vt[/tex]
where
v is the velocity of the plane (expressed in miles per hour).
From this equation we can observe that there is a direct proportionality between the two variables: this means that, when t increases, d increases as well.
Therefore, the correlation between the two variables is positive.