The following is a solution number four. And were given a data set here. The X values 1347 and nine. And the Y values are 556 negative three and zero. And the first part of this is to create a scatter plot. And you can do that manually just by making a Cartesian plane and just plotting these points like you normally would in algebra class or you can use technology and that's what I'm gonna do because it's a lot neither. And I'm really bad at making graphs to, so I'm using a. T. I. T. Four, but you can use any sort of technology want. But if you're using A T. I A T for if you go to stat and then edit in L. One, you should put the X values 1347 and nine. And then in L two put your Y values 556 negative three and zero. Then if you go to second y equals and just make sure this first step plot is on and I'm going to turn the other ones off. So if it's if it's off then you can just turn it on quite easily just make sure this is highlighted. So arrow over and click enter the first graph needs to be highlighted. So it's a scatter plot. X. List is a one, Y. List is L two. Unless you put it in different columns and then as for Mark, you kind of do whatever one you want. I like this first one because it shows up the nicest. So if you press graph, you should see the data values and if you don't that's fine, your windows just a little bit off. If you go to zoom and then this ninth option here zoom stat, then you should see everything. So those are the five data values. And it appears, so you would just copy that to print that out. But it appears that as X is increasing, so from left to right, it looks like why is decreasing. So it's kind of going downhill. Or if you were to draw like an imaginary line that kind of goes in the middle of all those points, the line, the slope of that line would be negative. So that kind of answers the next question, predict the sign of our, I think it's going to be negative. Okay, And the reason why I think it's gonna be negative for one, the slope appears to be negative, slope is negative. Okay. But more importantly, if you look at these data values as you're increasing, the X, the Y appears to be decreasing, so as X increases the wide decreases and anytime that happens, that means they are is probably negative. So the last part is actually to compute are, and we're going to verify that it is actually negative. You can use the formula if you want, but that can be a little cumbersome. I'm going to go back to the calculator. So if you go to stat cowpoke and then you can, this is linear regression because it kind of looks linear, but you either choose 48 where it says lin Wregget doesn't matter which one you choose. I'm gonna choose four X. List is all one wireless is all too, unless you chose different columns and then you calculate, and I'm seeing the R is negative 10.788 So I'm gonna write that down and if you don't see that that's fine. I'll show you how to make it pop up. So negative point 788 So that's my are, which is negative. So that's kind of verified. It is actually the same as our prediction. But if you don't see the R. And the R. Squared, it's okay. Just means we need to turn on your diagnostic. So if you go to second zero, where's this catalog? And then just scroll all the way down until you get to the DS. Where it says diagnostic on. So diagnostic off diagnostic on press enter and then enter again. And it will say done. Then if you go back to stat couch and then either 48 of them matter which one and You see the R. is negative .788.