Ateacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. she found that on average, for every 30 minutes studied, the grade increased by 8 points. which statements about this relationship are true? check all that apply. the data set would have a linear association. the data set would have a nonlinear association. the data set would have a positive correlation. the data set would have a negative correlation. every student earns 16 more points for each additional hour they study. students that study more tend to earn better grades on the test.

Step-by-step explanation:

According to the given statement :

A teacher found that on average, for every 30 minutes studied, the grade increased by 8 points.

That the rate of change of marks  ( on average)  with respect to time is increasing by a constant 8 points per 30 minutes.

Since 1 hour = 60 minutes =

⇒ That the rate of change of marks ( on average) with respect to time is increasing by a constant 16 points per hour.  [Since ]

⇒ The set would have a linear association. [when the rate of change of ]

Since marks is increasing with respect to the time therefore, the set would have a linear association.

⇒ Students that study more time tend to earn better marks on the test.