x 5 10 15 20 25 30
y 50 60 70 80 80 90
Is this not linear?
No...look at the points corresponding to x values of 20 and 25.
okay, I understand now. Thank you. This is so confusing to me.
To determine if a relationship between two variables is linear, you can analyze whether there is a constant change between the values of the variables. In this case, let's compare the values of 'x' and 'y':
x: 5 10 15 20 25 30
y: 50 60 70 80 80 90
If we examine the change in 'y' for each corresponding change in 'x', we can calculate the differences:
Change in x: 5 5 5 5 5
Change in y: 10 10 10 0 10
As you can see, there is not a constant change in 'y' for each constant change in 'x'. Initially, the change in 'y' is 10 for each increase of 'x' by 5. However, when 'x' is 20, 'y' remains the same at 80, resulting in a change of 0. Then, the change in 'y' increases to 10 when 'x' increases to 25.
Since there is not a consistent, linear relationship between the changes in 'x' and 'y', we can conclude that the given data does not demonstrate a linear relationship.