Regression Intercept and Slope Calculation (+more) (Casio fx-9750GII)

Calculate the y-intercept, slope, correlation, and R-squared of a regression line on a Casio 9750 graphing calculator (amzn.to/1AVxr78).
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Approximate script:
I'm going to cover how to enter data and get a regression line summary using a Casio 9750 graphing calculator, and I'm going to do this in three stages: first enter the data, then look at a graph of the data, and finally fit a regression line.
1. Just like with other statistics calculations, I'll start by going to the STAT section by hitting Menu and then navigating over to Stat.
2. Next, I'll enter the data into two lists. Here I'll use List 1 and List 2, but you can use any two lists you want. However, I'll first need to delete the data that's already in the list, which I can do one observation at a time, or if I arrow over with F6 and choose the delete all option. With that, I'm ready to enter my sample data set, which has 10 observations. It's really important to enter the data in the exact same order in each list.
3. Before I calculate the regression line, it's a good idea to look at the plot. I can do this by navigating to Graph, then set the graph parameters. Here I'm using graph 1, which will be shown as a scatterplot using Lists 1 and 2. If I needed to change a list number, I'd go to the list, hit F1, then enter the proper list number. I find it easier to always use Lists 1 and 2 so I don't need to update this setting every time. But if you do occasionally use other lists, verify the proper lists are set. Now I can exit out and show graph 1. A downward trend is evident in the data, so I should expect to see a negative slope when fitting the line. The trend also looks reasonably stable, and there are no outliers that would be a cause for concern.
4. Alright, now that I've checked that the data look reasonable for a regression line, I'll exit out, go to CALC, then SET, and I'll specify the regression context. For example, I need to make sure the proper lists are set, just like I did when graphing. Exiting back out to the previous screen, I'm finally ready to compute the regression line. To do so, I choose REG for regression line, X for a linear regression line, and I prefer the form a + bx, so I'll choose that option.
The regression output shows
- the form of the equation,
- the y-intercept of the best-fit line,
- the slope of the best-fit line,
- the correlation,
- the R-squared value, and
- the mean squared error of the residuals.
This last statistic usually isn't discussed in introductory statistics courses. The final equation of the line is y = 93.71 - 1.94 * x. Notice the negative slope, which made sense with the scatterplot I examined earlier. Here's a plot of the data with the regression line shown, which was created using a statistical software called R.
In the next video, I'll cover how to perform a t-test to evaluate whether there is strong evidence that the slope of the line is different than zero.
If you liked this video, give it a thumbs up below and subscribe. Thanks for watching.

[@esrath2212]

Thank you. Everyone else in my class uses another type of calculator. I won't struggle no more.

[@sammyp1266]

Same for me

[@N11Productions]

Same

[@moriahthompson9404]

You literally saved me from failing my chemistry lab due tomorrow. No one, not even my prof knew how to use this calc. I am so grateful...definitely liking and subscribing.

[@ThespianCrAzY13]

I'm in finite math in college and I can't even express how much this helps for my upcoming test. So much work done right away!

[@FIGHTnowRESTlater]

bro you're the best. I think I can pass my exam with this- and finally get my associates degree. thanks man

[@koniconga]

Great simple instructions, thanks had no idea how to complete this on a Casio.

[@YB-PC-BYourself]

TY. I was able to follow very easily. I had no idea how to use this calculator or do this problem on it. I complete understand now. TY, I have a final in the morning. You saved my bacon. I am very appreciative!!!

[@OpenIntroOrg]

Happy you found it useful, and good luck with your exam tomorrow!

[@christopherphayrin4565]

This is one of the most useful videos I have ever seen. I'm going to get an A in my stats class because of it =)

[@ztgasdf]

Doing Precalc and THIS SAVED ME. THANK YOU SO MUCH!

[@gorillahips3521]

Thankyou so much! I could not figure out my math final for the life of me and this helped tremendously!

[@kingpaul3134]

Thank You! Thank You ! SO much. Great explanation.

[@Dylster501]

Very clear on instructions!

[@hucxer394]

thank you! very helpful and informative

[@tymagaidash7013]

Thanks, without your help I would have not figured this out.

[@happycowsmmmcheese87]

SO helpful! Thank you!!!

[@neevvora7368]

Your videos are so helpful as always! Can you tell me how to calculate the standard error of the slope of the least squares regression line on a Casio Fx-9750Gii? I need it to calculate a confidence interval for the slope. Thank you so much!

[@kingb3]

very helpful thanks

[@swaveeysharol8026]

thank you so much you are amazing !

[@IAmVicMan]

Thanks a lot

[@RoboThot711]

Thank you king

[@jeremyberesford6377]

Thank you so much. Had one of the worst class periods of my life because I couldn't figure out how to do this type of thing on this calculator. Never again.

[@viktorherrera9375]

thankyou i needed this

[@vladimirsson5478]

thank you so much!!

[@GOLD33N13]

thanks alot

[@viktorherrera9375]

underrateeed superhero

[@irishchocolate3872]

I did this on my TI-84C Silver Edition and it was consistently giving me the wrong slope and intercept equation even after clearing the statistical data and redoing it several times. It wasn't until I reset the ram on my calculator(and losing all my programs) that it finally gave the correct formula. Very problematic using this calculator on a statistics test.

[@fernandovaldez7061]

Thanks

[@misspps_]

thanks

[@preston_5081]

Do you know how to predict the next set of points.

[@luzg6565]

Hello I have the casio fx-9750GII calculator and I do not have or do not find the MATH or MTHIO mode. What do I do to place it? Since this facilitates the calculation of fractions because it shows them as when we write them on paper

[@mc_chickenburger2585]

Now how can i find a prediction from the line of best fit?

[@kylebouch4930]

how do you add another number for the y value to figure out what the x value would be. for example, the list of data says what would y be if x was blank. how do you enter in the new value, while keeping the same list of numbers?

[@eterna6527]

hi. I only get 1 and 0 for the a b r r values. Help

[@hcqj582]

Is it 9750Gii cannot draw a best fit line?

[@mariafritsch1046]

My calculator says dimension error, what could I'd o

[@rogersyversen3633]

I have CFX-9850GB PLUS. I dont have the option for y=a+bx like you have. it shows y=ax+b, how do I Draw the regression line by hand With this Equation?

[@rogersyversen3633]

well, I figured out how to Draw it, but I would prefer if my calculator could use the same as my textbook

[@disheeple]

Can you do quadratic regression?

[@OpenIntroOrg]

Would suggest moving to computer software for this type of analysis. Graphing calculators aren't great machines for doing complex analyses or analyses requiring more than a small amount of data. Consider trying R (r-project.org), which is a free yet powerful software used by most top companies. You can also find free labs for learning R on our website: openintro.org/stat/labs

[@amai7789]

is that calculator suitable for a multiple regression ?

[@OpenIntroOrg]

I don't think it's an option on the calculator. You can do this in free software on a computer (which will also offer a lot of other benefits over a calculator). You can find free software labs on any of the statistics book pages at openintro.org/book/stat. You'll probably want either R or Python for the software option.

[@jfricci01]

help how come i keep getting the wrong answer, MSE 64.47 INSTEAD OF THE 77

[@DavidDiez]

I've double checked that 77.8 is correct with R statistical software. Are the slope and intercept that you see consistent with what's in the video (93.7 and -1.94)? If not, the next thing I'd check is that the data entered is accurate.

[@catherineholsapple9442]

Thanks for saving my ass 🙏🏼🙏🏼