Question

A student is looking at the relationship between the average number of hours of screen time and the average score on a test. the table below shows the data: number of hours of internet browsing (x) 1 2 3 4 5 6 7 8 9 score on math test (y) 95 88 89 87 87 83 80 79 74

part a: describe any correlation between the average number of hours of screen time and the average score on the test. justify your answer.

Answer 1

There is a negative correlation between the average number of hours of screen time and the average score on the test.

Step-by-step explanation:

The data given shows the relationship between the average number of hours of screen time (x) and the average score on a test (y). To describe the correlation between these variables, we can create a scatter plot of the data points. By examining the scatter plot, we can see that there is a negative correlation between the average number of hours of screen time and the average score on the test. This means that as the number of hours of screen time increases, the test scores tend to decrease.

Justifying our answer, we can observe that as the number of hours of screen time (x) increases from 1 to 9, the corresponding average score on the test (y) decreases from 95 to 74. This consistent decrease in test scores suggests a negative correlation between the two variables.