a teacher gathered data about the number of hours her students spent studying for a test and their resulting…

a teacher 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.\nthe data set would have a linear association.\nthe data set would have a nonlinear association.\nthe data set would have a positive correlation.\nthe data set would have a negative correlation.\nevery student earns 16 more points for each additional hour they study.\nstudents that study more tend to earn better grades on the test.

a teacher 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.\nthe data set would have a linear association.\nthe data set would have a nonlinear association.\nthe data set would have a positive correlation.\nthe data set would have a negative correlation.\nevery student earns 16 more points for each additional hour they study.\nstudents that study more tend to earn better grades on the test.

Answer

Brief Explanations:

  1. Since for every 30 - minute increase in study time, the grade increases by 8 points, the relationship between study - time and test grade is linear as the change in grade is proportional to the change in study time. So, the data set has a linear association.
  2. As the grade increases with an increase in study time, the correlation is positive.
  3. If 8 points are gained for 30 minutes of study, then for 1 hour (60 minutes), 16 points are gained. Also, generally, students who study more tend to earn better grades.

Answer:

The data set would have a linear association. The data set would have a positive 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.