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19If the mean of the data =50 and the variance=100, if the data are modified through the equation: Y-0.5X+25 then the coefficient of variation of the modified data=...

Question

19If the mean of the data =50 and the variance=100, if the data are modified through the equation: Y-0.5X+25 then the coefficient of variation of the modified data= (2 Points)1072582752850.

19 If the mean of the data =50 and the variance=100, if the data are modified through the equation: Y-0.5X+25 then the coefficient of variation of the modified data= (2 Points) 107 2582 7528 50.



Answers

Exer. 31-34: Examine the expression for the given set of data points of the form $(x, y) .$ Find the constant of variation and a formula that describes how $y$ varles with respect to $x .$ $$\begin{array}{c} y / x ;\{(0.6,0.72),(1.2,1.44),(4.2,5.04),(7.1,8.52), \\ (9.3,11.16)\} \end{array}$$

I'm gonna run through problems 34, through 34 all together. Because they're all very similar in each case. They give us a bunch of data points and then tell us to calculate this, you know, at some function of some product or some function of the data points. And so in the first one they give us these data points here and they tell us to find Y over X in each case. So if you take y divided by X and each one of these cases you get 1.2. So there's what what this is saying is that you know, all of these are constant. So how is why related? So why overact equals 1.2 in all cases. So generally to fit this data then y equals 1.2 times X. And obviously you can plug that back in, take exits here and you plug it in here and you'll see that you get this. And so Um what what this data, the you know how this data is related is that y equals 1.2 acts. And the second problem are in 32 they gave us this set of data. Yeah. And tell us to look at the that X times y for all of these points. And if we do that, we see that in each case x times y is -53. So, you know, x times y is -53, so Y equals minus 5.3 over X. So this is how y is with X and y are related for this set of data here. So they're basically giving us kind of this form to say that this should be pretty close to a constant. Um If if this is if y is going to be inversely proportional to X, then X times y should be a constant. Now this data they say, well x squared times X squared times Why? So we're saying that okay if y is inversely proportional to x squared the next square times, why should be a constant? And so we calculate our score times Y for all of these values And we see that there and in all the cases they get -10.1. So that means that why equals minus 10.1 times X squared or divided by X squared. So this is the relationship we get for this case. And finally in this case here, we're basically saying that why is proportional to X? Um find, you know, we're looking for if why is proportional to X cube then why divided by X cube for all these data points should be a constant should be the same. And if we do that, if we take you know why why divided by X cubed For everyone? We get 2.72 point 67 in each case. So that means that the relationship between this data, is that why he called relationship between these data points is why he calls 2.67 times x key. And again, you can plug these in and figure out that that isn't indeed the case.

I'm gonna run through problems 34, through 34 all together. Because they're all very similar in each case. They give us a bunch of data points and then tell us to calculate this, you know, at some function of some product or some function of the data points. And so in the first one they give us these data points here and they tell us to find Y over X in each case. So if you take y divided by X and each one of these cases you get 1.2. So there's what what this is saying is that you know, all of these are constant. So how is why related? So why overact equals 1.2 in all cases. So generally to fit this data then y equals 1.2 times X. And obviously you can plug that back in, take exits here and you plug it in here and you'll see that you get this. And so Um what what this data, the you know how this data is related is that y equals 1.2 acts. And the second problem are in 32 they gave us this set of data. Yeah. And tell us to look at the that X times y for all of these points. And if we do that, we see that in each case x times y is -53. So, you know, x times y is -53, so Y equals minus 5.3 over X. So this is how y is with X and y are related for this set of data here. So they're basically giving us kind of this form to say that this should be pretty close to a constant. Um If if this is if y is going to be inversely proportional to X, then X times y should be a constant. Now this data they say, well x squared times X squared times Why? So we're saying that okay if y is inversely proportional to x squared the next square times, why should be a constant? And so we calculate our score times Y for all of these values And we see that there and in all the cases they get -10.1. So that means that why equals minus 10.1 times X squared or divided by X squared. So this is the relationship we get for this case. And finally in this case here, we're basically saying that why is proportional to X? Um find, you know, we're looking for if why is proportional to X cube then why divided by X cube for all these data points should be a constant should be the same. And if we do that, if we take you know why why divided by X cubed For everyone? We get 2.72 point 67 in each case. So that means that the relationship between this data, is that why he called relationship between these data points is why he calls 2.67 times x key. And again, you can plug these in and figure out that that isn't indeed the case.

I'm gonna run through problems 34, through 34 all together. Because they're all very similar in each case. They give us a bunch of data points and then tell us to calculate this, you know, at some function of some product or some function of the data points. And so in the first one they give us these data points here and they tell us to find Y over X in each case. So if you take y divided by X and each one of these cases you get 1.2. So there's what what this is saying is that you know, all of these are constant. So how is why related? So why overact equals 1.2 in all cases. So generally to fit this data then y equals 1.2 times X. And obviously you can plug that back in, take exits here and you plug it in here and you'll see that you get this. And so Um what what this data, the you know how this data is related is that y equals 1.2 acts. And the second problem are in 32 they gave us this set of data. Yeah. And tell us to look at the that X times y for all of these points. And if we do that, we see that in each case x times y is -53. So, you know, x times y is -53, so Y equals minus 5.3 over X. So this is how y is with X and y are related for this set of data here. So they're basically giving us kind of this form to say that this should be pretty close to a constant. Um If if this is if y is going to be inversely proportional to X, then X times y should be a constant. Now this data they say, well x squared times X squared times Why? So we're saying that okay if y is inversely proportional to x squared the next square times, why should be a constant? And so we calculate our score times Y for all of these values And we see that there and in all the cases they get -10.1. So that means that why equals minus 10.1 times X squared or divided by X squared. So this is the relationship we get for this case. And finally in this case here, we're basically saying that why is proportional to X? Um find, you know, we're looking for if why is proportional to X cube then why divided by X cube for all these data points should be a constant should be the same. And if we do that, if we take you know why why divided by X cubed For everyone? We get 2.72 point 67 in each case. So that means that the relationship between this data, is that why he called relationship between these data points is why he calls 2.67 times x key. And again, you can plug these in and figure out that that isn't indeed the case.

So in this question, were given the patting outrageous for two teams, Team A and B were asked to compare our coefficient off variations, which is standard deviation over meantime, 100%. In this case, we're looking at this sample standard deviation and me the coefficient of variation for Team a point well for one over 0.299 one times 100% which gives us approximately 13.72 percent. How proficient off variation for Team B is 0.38 over 0.261 times 100% which gives us approximately 14 point 56%. And so we say that there is more variability in the batting average floor team mhm because it has the higher coefficient off variation.


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