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Scatter Plots Part 3

Added Apr 06, 2020 •

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now we're going to look at how to apply what we've just learned about Scatter Plots into these out and be using real-world problems when example a history teacher problem after students how many hours is left the night before the test and they recorded their data in this table start with we're going to record all of our data on the scalp Oasis make sure you also if you could the highest is 9 so shoot your scale which is the distance between numbers or your increments looks like they chose the scale 1 distance of 1 between far apart from each other to begin with on the y-axis they have decided on an increment 5 every 5 we're going to increase is the lowest of 60 the highest mind that's a lot I don't want to be better to use tens or a little too much by seem to be just right for what we need and give me a good picture that I can see clearly I hear you notice if that's not in increments of 5 60 when you see little guys like that or some little thing from the origin of the first number called a break in the graph Telugu zooming in on a picture I don't want to see anything below 60 because my dad anything below 60 so I can wish that part of the axis down so I can only focus on what I need to go ahead and start plotting 80 + 8 + 83 he's just as best you can they might be a little lost but they'll be pretty darn close 7-6. Right there 774 right there 76 to little bit about the 75 5 + 63 mine is always Pier 60s follow Matata you probably see you trying to get going here 9 89 up some of the 90 in the last one I have yours 7 and 81 there's my dad so the first thing you want to look at is what kind of relationship do you see a positive negative which one do you think it is I just trying to be a line and it looks like it's planting in the word positrack clothes are not to send out so I'm going to say that this was a straw positive correlation I want to look at is Brian what we call a line or a trend line what that is it's like the average of all these points if these points were going to make a line what wine would they make the best and easiest way to do this to draw a circle Rancho data and then draw a line straight down the middle of it new trend line or line of best fit also again referred to as a trend line directions as to what might happen in the future or what might happen if you did Less hours of sleep wear that my land to you speaking of predictions can you do that next used to make predictions just like we would if I had what would happen in five years from now the same idea so predictions is tonight is what your test score would be for 10 hours there's two ways we can do this one way is by the graph can we just go over to the grass find you 10 hours of sleep since I was X go until you hit the line I had it right there now I'm going to go over until I V E Y axis and that should correlate that the it's a prediction as to what might happen while since these are increments at 5 that would make this 95 and that makes this 100 so it looks like if I got 10 hours of sleep last score 100% we might still be in the same range also with the line of best fit when you're drying that line again it straight down the middle of the circle year-and-a-half even better so use that to help you make your prediction on a graph again I went to 10 hours sleep up until I hit the line and then over to the wac score of the test I could have said let's predict what would happen for me to make an 85 on the test so I would start with a the grass here and I will come down 85 until I come down that looks like about seven and a half hours to make an 85 according to this data now is 2 equation Shuffle line of best fit and that's why we did the recall a minute how to find an equation of a line in slope intercept form but to do this you need two points on this line we have lots of data points but not all of them hit the line and some of them may not get it at all one of the points that you were getting Airline goes through the corner of my big red squares that appoints I was given I definitely hit right here how to use the four she right there 4 + 60 those are the two points be used to find my equation so if you remember from the recall we needed to First find the slope so we're going to do a t over 7 minus 4 this is equal to 23 + roughly going to be what you can leave it like that for the most accurate answer where you can use diffraction now we also need to find slope and y-intercept slope first point sat which equals 2 m which is 6.7 times which is 7 + tea and when I saw this remember this is all an estimate it may not come out perfect what we do with the graph it's going to be awful bus 2.7 * 7 is 46.9 33.1 to be the slope y intercept this equation is the equation of the line of best fit equation for the trend line and it can be also used to make predictions just like your I used at 10 hours with ax I can plug that in Forex 67 and so why the test score they're saying she's being so make sure the elderly 100.1 % and that's pretty close if not exactly close to what I got when I estimated on the grass itself so again if it doesn't ask you to don't do it but you can predict just by using the grass if you're given the graph you not given the graph I probably would

Uploaded by Nicole Beverly.

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