So so now I need to just substitute in the values that I'm given. I'm gonna on the next screen I'm gonna go ahead and do it by hand. So you want to pause and not do this all by hand. Which means the y value should decrease as the X. Does the value of our imply that why should increase or decrease? And that would be decrease because R. Um oh and were asked as X increases from 3 to 75.
But if you've got are and you're satisfied you can stop and move on. And then if you have to do the formula by hand these are the numbers you're going to use that you're going to put into the formula to calculate our so I will do that. Standard deviation means cursor down a little bit farther and sure enough all those values work.
Because we have two values cursor down to calculate and you can verify there's the X. So to verify those summations stat, if you go back to one of our stats over to cowpoke number one, I'm sorry we want to bar stats stat talc number two. And then we're asked to verify certain values. It's 0.945 So 0.9 actually indicates it fairly strong fit. And then let her see there is the correlation coefficient which we can D. So answering our questions the line slopes down or downward for let her be moderate fit and it's negative. So what is it looking like? Well obviously the line is going down um Is the correlation low? Well before I even look at the correlation coefficient I would say it's low to moderate because it's not all the data points are on the line it is definitely negative because it's sloping down. No it's not actually it's a little different than the one that I drew by hand but there's our line if it. Or I could just do graph and there's my line of fit. Okay? So if I want to look at my model, I'm gonna gonna go to y equals and I'm gonna type in that equation that negative 0.274 X. Now if your calculator doesn't do are very quickly let me show you mode then go down to stat diagnostics and make sure it's on. They want us to calculate the correlation coefficient. I can see that my slope is negative and then I'm going to use this are this is for question three. So using this model I can go ahead and graph this line. So there's the information to help us with our linear regression model. If we're going to use your calculator, do you do that? Then we need to do stat cal and we're going to do number four linear regression cursor down to calculate and there are the values for our line. It could look like maybe that you're drawing of a hand connecting two points. Now we need to draw a line that fits the data, drawing it by hand. Not too hard because this would be three comma 40. Make sure it's on scatter plot which it is then and make sure the cursor is on the word on zoom followed by nine. Equals will open up the plot screen, select number one, press enter while you're on the word on select the scatter plot and then zoom followed by the number nine. Once you've entered those values in now we're going to look at a scatter plot. So I'm going to take my calculator stat edit and in L. In this video we'll make a scatter diagram and talk about the fit line of fit and compute the correlation regression.
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