Create a scatterplot, and plot y (L2) against x (L1) with the regression line (the equation should be stored in Y1 and the equals sign turned on). Sketch the scatterplot and regression line in the box below. (The sketch does not need to be perfect.) Does the relationship appear linear? Why or why not?
@jim_thompson5910
I see 3 columns of data, but they ask for two columns L1 and L2 so which 2 do they want you to use?
L1 is hits
L2 is runs
ok, do you have a TI calculator?
yes
and have you entered that data into your calculator?
yes
and you got that result of the image you posted?
yes
idk what to do next and solve this
ok hit the "2nd" key and hit 0 to bring up the catalog look for DiagnosticOn in the catalog
make sure that is turned on
ok hold on
ok
done
is it on now?
ok good
for some reason, that is off by default and it's really annoying
yah
because that helps us calculate the correlation coefficient r
do the linreg again on L1 and L2
oh ok
you'll see r^2 and r pop up under a and b
can u review me on that
what values of r^2 and r did you get
what buttons do i push?
hit stat button --> go to calc menu (one to the right) --> hit 4 for linreg --> hit enter
ok one sec
i got error
let me try again
ok nvm got it
so you see the values for r^2 and r?
hmm looks like the diagnostic isn't turned on
ok sorry, tell me how to turn it on again plz?
2nd --> 0 key --> look for DiagnosticOn and select it --> hit enter you should see "done" pop under "DiagnosticOn"
you need the diagnostic on so you can see r^2 and r it would be nice if they were always on by default. I see no reason to turn them off
how do i select it?
do I just press enter?
highlight it and then hit enter
ok, can u tell me how to highlighit it?
or make sure the arrow is pointing at it
ok
ok, did it, let me try what u told me ealier and ill post the result
alright
ok much better
haha
so now what?
according to this page http://www.strath.ac.uk/aer/materials/4dataanalysisineducationalresearch/unit4/correlationsdirectionandstrength/ r = 0.519 is between 0.4 and 0.6 which means the linear correlation is moderate. Basically it's in the middle of being nonlinear and linear. Personally, this r value of 0.519 means that the data set if far from being linear that another model is probably better a better fit. The idea is that the closer r gets to +1 or -1, then the data is more linearly correlated.
Visually you'll have a lot of points that stray far from the regression line. The worse the fit is, the further each point will be. If the points tend to fall on a pattern that is close to a parabola, then a quadratic fit is better. That's just one example though.
ok, so what do i do for the question?
"Does the relationship appear linear?" I'd say it's not very linear even though r is in the middle of 0 and 1. It has moderate linear correlation but that isn't enough to convince me it's linear. The value of r would have to be closer to 1 (say in the range from 0.7 to 0.9 or so) to be considered linearly correlated
and again, you can look at your scatter plot and the regression line. Does that line look close to all of the points? if no, then the data isn't really linearly correlated
I haven't plotted the data set, but I have a feeling that much of the points will be far from the regression line making the data set not really linearly correlated
how do i create my own scatterplot?
basically the 'r' sums all that up with one number
hit the "y=" key
then move the cursor up to "plot 1" and turn that on
just press enter?
"plot 1" will graph the scatter plot with L1 being x and L2 being y each point is (x,y) and it's from each row
yes
then go to graph
you may need to change your window
ok one sec, and can u help me with some more problems too plz, u r literally saving my life lol
alright, take your time
ok so one sec, is this right?
btw, I think zoomstat may automatically fit everything in...not sure though
go ahead
yeah looks like you got everything in the picture, but I don't see your axis
how would i do that?
do i have to show the axis?
one sec
ok
there are 51 rows right?
no 50
oh right, I have the top row being my labels
do you have geogebra?
what is that?
ok I'll take that as a no. If you want, you can download that to help you set up the scatterplot and regression line. It's much better than a TI83/TI84/etc and it's free. I'm using that to plot and I got this (see attached). Of course, your TI calculator is fine if you are required to use it, but geogebra allows me to quickly scale and locate points and such
anyways, here is just the scatter plot
ok ty
and as I suspected, it's quite a lousy model since most of the points are nowhere near it so it's not linearly correlated (well moderately to weakly linearly correlated)
ty
you're welcome
Join our real-time social learning platform and learn together with your friends!