Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

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?

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (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?

OpenStudy (anonymous):

OpenStudy (anonymous):

L1 is hits

OpenStudy (anonymous):

L2 is runs

jimthompson5910 (jim_thompson5910):

ok, do you have a TI calculator?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

and have you entered that data into your calculator?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

and you got that result of the image you posted?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

idk what to do next and solve this

jimthompson5910 (jim_thompson5910):

ok hit the "2nd" key and hit 0 to bring up the catalog look for DiagnosticOn in the catalog

jimthompson5910 (jim_thompson5910):

make sure that is turned on

OpenStudy (anonymous):

ok hold on

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

done

jimthompson5910 (jim_thompson5910):

is it on now?

jimthompson5910 (jim_thompson5910):

ok good

jimthompson5910 (jim_thompson5910):

for some reason, that is off by default and it's really annoying

OpenStudy (anonymous):

yah

jimthompson5910 (jim_thompson5910):

because that helps us calculate the correlation coefficient r

jimthompson5910 (jim_thompson5910):

do the linreg again on L1 and L2

OpenStudy (anonymous):

oh ok

jimthompson5910 (jim_thompson5910):

you'll see r^2 and r pop up under a and b

OpenStudy (anonymous):

can u review me on that

jimthompson5910 (jim_thompson5910):

what values of r^2 and r did you get

OpenStudy (anonymous):

what buttons do i push?

jimthompson5910 (jim_thompson5910):

hit stat button --> go to calc menu (one to the right) --> hit 4 for linreg --> hit enter

OpenStudy (anonymous):

ok one sec

OpenStudy (anonymous):

i got error

OpenStudy (anonymous):

let me try again

OpenStudy (anonymous):

ok nvm got it

jimthompson5910 (jim_thompson5910):

so you see the values for r^2 and r?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

hmm looks like the diagnostic isn't turned on

OpenStudy (anonymous):

ok sorry, tell me how to turn it on again plz?

jimthompson5910 (jim_thompson5910):

2nd --> 0 key --> look for DiagnosticOn and select it --> hit enter you should see "done" pop under "DiagnosticOn"

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

how do i select it?

OpenStudy (anonymous):

do I just press enter?

jimthompson5910 (jim_thompson5910):

highlight it and then hit enter

OpenStudy (anonymous):

ok, can u tell me how to highlighit it?

jimthompson5910 (jim_thompson5910):

or make sure the arrow is pointing at it

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

ok, did it, let me try what u told me ealier and ill post the result

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

ok much better

OpenStudy (anonymous):

haha

OpenStudy (anonymous):

so now what?

jimthompson5910 (jim_thompson5910):

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.

jimthompson5910 (jim_thompson5910):

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.

OpenStudy (anonymous):

ok, so what do i do for the question?

jimthompson5910 (jim_thompson5910):

"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

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

how do i create my own scatterplot?

jimthompson5910 (jim_thompson5910):

basically the 'r' sums all that up with one number

jimthompson5910 (jim_thompson5910):

hit the "y=" key

jimthompson5910 (jim_thompson5910):

then move the cursor up to "plot 1" and turn that on

OpenStudy (anonymous):

just press enter?

jimthompson5910 (jim_thompson5910):

"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

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

then go to graph

jimthompson5910 (jim_thompson5910):

you may need to change your window

OpenStudy (anonymous):

ok one sec, and can u help me with some more problems too plz, u r literally saving my life lol

jimthompson5910 (jim_thompson5910):

alright, take your time

OpenStudy (anonymous):

ok so one sec, is this right?

jimthompson5910 (jim_thompson5910):

btw, I think zoomstat may automatically fit everything in...not sure though

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

go ahead

jimthompson5910 (jim_thompson5910):

yeah looks like you got everything in the picture, but I don't see your axis

OpenStudy (anonymous):

how would i do that?

OpenStudy (anonymous):

do i have to show the axis?

jimthompson5910 (jim_thompson5910):

one sec

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

there are 51 rows right?

OpenStudy (anonymous):

no 50

jimthompson5910 (jim_thompson5910):

oh right, I have the top row being my labels

jimthompson5910 (jim_thompson5910):

do you have geogebra?

OpenStudy (anonymous):

what is that?

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

go here to download geogebra http://www.geogebra.org/

jimthompson5910 (jim_thompson5910):

anyways, here is just the scatter plot

OpenStudy (anonymous):

ok ty

jimthompson5910 (jim_thompson5910):

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)

OpenStudy (anonymous):

ty

jimthompson5910 (jim_thompson5910):

you're welcome

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!