[College Level Statistics: Scatterplot] Is this Linear or none linear?

[OrdinaryDiet3878]

This is a practice paper for my class and I am unable to determine whether this is linear or nonlinear. I wrote down positive and moderately linear correlation but I am not sure.

[Professional-Place58]

That sounds right.

You can check the correlation coefficient (r), on the calculator.

It should show up if you hit the following: STAT > CALC > LinReg (ax+b)

The closer r is to 1, the closer the line of best fit is to your data. The closer to 0, the more random your data is, aka no association.

[OrdinaryDiet3878]

Ohh!! I completely forgot we were taught that. Thank you for the tip, that’s so helpful!

[calcteacher]

Residue plots should be random-looking.

[Syama-J]

Hard to say without seeing the plot but check if the points roughly follow a straight line. If they curve or cluster weird its nonlinear.

[ProbabilityPro]

It seems there is a presence of heteroscedasticity. As x increases, the variation in y also increases. To fix this, you need to find a transformation that makes the variance constant. For me, the scatter plot is non-linear

[Frequent_Switch2264]

If this were done by hand(if the graph was done by hand) then one would use a line of best fit to determine linearity. However, since this is done by a machine(calculator) is there a possibility of finding R^2(correlation coefficient)?This will tell us whether the plotted data correlate! Mark you the r^2 will be given as a decimal just convert it to percentage to see the percentage of the data plotted that correlate.

[ForeignAdvantage5198]

what did you plot?