Regression t-Test for the Slope (Casio fx-9750GII)

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Approximate script:

I'm going to cover how to perform a t-test for the slope of regression line summary using a Casio 9750 graphing calculator, where I'll be checking whether the data provide strong evidence of a non-zero slope. The sample data set I'll use is from a previous video where I described how to draw a scatterplot of the data and compute the y-intercept and slope for a regression using the Casio 9750 calculator.

For conducting the t-test for the slope, I'll go to the STAT section by hitting Menu and then hitting 2 for the Stat section.

Next, I'll enter the data into two lists. However, I've already entered the data from the last video, so I'll just go ahead and reuse it for this video.

Since I want to conduct a t-test, I go to TEST, then to T. Since this is a regression context, I navigate to REG for regression. Now I need to specify the alternative hypothesis. Since I want to run a 2-sided test, I'll use "not equals", which is already selected. Next, I specify the lists where the data are located. I prefer to always store my data in Lists 1 and 2, and that's again where I stored these. But had I needed to change a list, I would have navigated down to the list, then hit F1 and entered the list number.

The frequency value should remain at 1, so I can hit the execute key to get the test results.

The output shows
- the alternative hypothesis,
- the t-test statistic,
- the p-value,
- the degrees of freedom for the test statistic,
- the y-intercept,
- the slope, and
- some additional statistics.

The p-value is 8.1e-5, which is about 0.000085, so I reject the null hypothesis and conclude that there is a linear trend in the data.

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[BubbaGump]

Thank you so much for posting videos on how to use the Casio fx-9750Gii for statistics! I had been struggling to use my calculator because my textbook only provides instructions for a Texas Instrument calculator. These videos are so helpful, and they are really easy to follow. I'm doing well in my statistics class because of help from these videos! I was also wondering if you had a video of how to graph formulas like "y=mx+b"? I have tried to do it on the Casio but can't seem to do it. Thank you for all your help!!

[petervinogradov]

Which coefficient is the SE variable for? I'm having a hell of a time writing Regression CIs with this calculator.

[StevenFlorindo]

how could we construct confidence intervals for the slop of the regression line? the INTER tab only has options for 1-sample and 2-sample

[OpenIntroOrg]

For reference, we also have a playlist for the TI-84:

[benzfx]

Sir, id like to ask what value of alpha was that p value compared to. I just couldnt figure out how to set alpha where to compare p value results to reject or nit reject the null. Thanks in advance!

[mRUSSIA]

How would you do this on a TI-84? I am getting totally different results.