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Numerade Educator

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Problem 40 Medium Difficulty

Second inning 2010 Consider again the regression of Average Attendance on Wins for the baseball teams examined in Exercise 38.
a) What is the correlation between Wins and Average Attendance?
b) What would you predict about the Average Attendance for a team that is 2 standard deviations above average in Wins?
c) If a team is 1 standard deviation below average in attendance, what would you predict about the number of games the team has won?

Answer

a) $0.53$
b) $1.06$
c) if the average attendance for a team is 1 standard deviation below average in attendance, the predicted wins would be 0.53 standard deviations below the mean number of wins.

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Video Transcript

this question is looking back at the baseball stats from exercise 38. So you need that for this question. On the first part is asking us what the correlation between winds and Amber attendance is to hear ever and the most important part when you from the exercise 38 as a correlation is all. And we have all sweat. So we need to rules west to get Oh, no, we don't just need Teoh Route 28.4 because that's a percentage on correlation. Well, you'd speak with decimal, so the first major is a vital 28 quite full by 100. So no point to it for, and that gives us an answer of North 0.5. Now here, when you're doing a correlation with any square roots that could be positive or negative. And it's important, remember that. But if you look back about your growth, you'll see that why is vague is a positive relationship. The growth itself kind of slopes upwards. Even though we discussed the linear models entirely appropriate, that definitely isn't a negative relationship. So according was positive. No 0.5 Sorry. So Part B is asking us what would predict by the average attendance for a team, that's to some deviations a best, the main in Wales. Now I know that we have a positive relationship. We know that Ah attendance is also going to be above the me as they move in the same direction. So we need now is what this number is going a bit the equivalent and that is all about the correlation. So instead of two, we need to. But times it by that correlation two times 0.53 And that gives us an answer of one point 06 So when the winds of two standard deviations above me, the attendance is expected to be 1.6 and deviations above the me in attendance. Looking at part. See the last work, this question, he says. If a team is one standard deviation below the mean in attendance, what do we predict about the number of games the team once now with Correlation? One important thing is you can use it to go from women's to attendance, attendance toe wins. So I was before they moved in the same direction and now we're looking at me in wins and this was bits and politically is we just need to one times no 10.5. So it's just simply no Claire, Claire say.