WEBVTT
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Okay, we're using a graphing utility for this problem
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. So here's my graphing calculator, and we start
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by going into the stat menu for statistics and then
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into edit. And you can see I've already typed
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in the numbers. So for list one, these
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air the month numbers where January is month 1 April
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is month for July, as 7 October is 10
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and December is 12 and then enlist to I have
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the temperatures for New York City, an endless three
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a Have the temperatures for Fairbanks. Okay, so
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the first thing we're going to do is find regression
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models or regression equations for each of these cities.
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So I press stat and then over to calculate.
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And then we're going to look for a sign regression
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model. And for this calculator, its way down
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the list. You just keep scrolling down past the
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more familiar regression models, and finally we get to
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sign regression. So I'm going to select that,
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and I want to use list one and list to
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if I'm using New York City and and I'm going
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to leave some of these things blank or unchanged.
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But what I do want to do is store my
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regression equation in my Y equals menu. So where
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it says store regression equation, I'm going to press
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variables and then over toe why? Variables and shoes
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function and choose why one and then I'm going to
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calculate. So what you see here are all the
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numbers that you would round and write down to have
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your model. We have the values of A,
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B, C and D. And then if we
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look in the y equals menu Ah, you should
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see the equation pasted in there. And I'm just
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going to erase that second equation that was left over
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from some other time. Okay, Now we want
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to find the regression equation for Fairbanks. So once
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again, I pressed at and then over to calculate
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, and then we're going to find sign regression again
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. And then this time I'm going to use list
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one and list three. So list one is for
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the month analysts threes for Fairbanks. So if I
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press second function three again l three and this one
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, I'm going to store as why, too.
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So I press variables over toe y variables, choose
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function, and then she was white, too.
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And then we calculate and these are all the values
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for that equation, so you would round them and
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write them down. And let's look at the y
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equals menu. And there we have it pasted in
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as well. Okay, so we have our models
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. So now we move on to Part B,
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and we're going to use these models to calculate the
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temperatures in different months. So I'm going to use
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the table for that. So first I'm going to
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go into my table set menu, which is second
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window. Make sure that it says independent ask,
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and that way you can type in whatever X values
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you want. Okay. From here, we're going
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into the table menu, which is second graf and
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we want February, which would be month to So
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we just type of to in the UAE. One
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column. We see the New York City temperature,
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and in the Y two column, we see the
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fair beings temperature and then march would be month three
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and in May would be month five and June would
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be six. Angela and August would be 8 September
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would be nine and November would be 11. So
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now we have all the months covered okay for Part
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C, it says, Compare the models, and
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I think it would be nice to look at the
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graphs in order to do that. And so let's
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go ahead and choose some window dimensions for these graphs
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. So press window. Remember, the X value
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represents the month, so we could go from zero
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to 13 and we would see a little bit more
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than a year. And then the Y value represents
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the temperature, so it gets pretty cold in Fairbanks
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. Let's go down to negative 20 and then it
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got up to 70 something in New York. So
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maybe we go up to 85 and perhaps we go
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by tens and let's take a look at that.
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So the first craft is showing us New York City's
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temperature over the course of a year, and then
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the next graph is going to show us Fairbanks.
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So some comparisons that we could make our that on
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any given day New York's temperature is going to be
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warmer than Fairbanks temperature, But we could also say
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that there's a greater spread vertically for Fairbanks. We
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call that the amplitude, and so there's more of
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a wide range of temperatures in Fairbanks, and then
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you could make other varied conclusions as well