anonymous
  • anonymous
Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average of 8 teams. Team - Games Won - Batting Average 1- 115- 0.285 2- 66- 0.267 3- 66- 0.263 4- 103- 0.274 5- 62- 0.26 6- 76- 0.282 7- 71- 0.266 8- 110- 0.282 Using games won as the independent variable x, do the following: (a) The correlation coefficient is r = _________________ (b) The equation of the least squares line is y = _________ + _____________ x 1 hour ago - 4 days left to answer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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tkhunny
  • tkhunny
What's your plan? Won't you need \(\sum x\;and\;\sum y\;and\; \sum xy\)? That's a good place to start.
anonymous
  • anonymous
That's the thing. I'm not sure how to get those. I can't seem to get any closer to solve this. Any help with how to approach this is appreciated.
tkhunny
  • tkhunny
What do you mean you can't get those. Just add them up! 115 + 66 + 66 + 103 + 62 + 76 + 71 + 110 = Sum of the x's

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anonymous
  • anonymous
Okay, I found that x = 669 and y = 2.179 What should my next step be? I'm not sure how to find the correlation coefficient.
tkhunny
  • tkhunny
Sum of the xy. Multiply the two and than add up all those. You will also need the sum of the x^2 and y^2 It can be a little tedious.
anonymous
  • anonymous
669 * 2.179 = 1457.751 669 + 2.179 = 671.179 669^2 * 2.179^2 = 2125037.978001 I think my numbers should be right.
tkhunny
  • tkhunny
You should get: \(n = 8\) \(\sum x = 2.185\) \(\sum y = 669\) \(\sum xy = 183.807\) \(\sum x^{2} = 0.597319\) \(\sum y^{2} = 59307\) I can't really tell what you are doing. Maybe you are forgetting that \(\sum xy \ne \sum x \cdot \sum y\)
tkhunny
  • tkhunny
Whoops! I'm backwards. Trade x and y. That doesn't actually change anything, except which is independent and which is dependent.
anonymous
  • anonymous
Oh, I see where I messed up. Thank you for that. I assume my next step should be to plug the numbers in an equation correct?
tkhunny
  • tkhunny
I sincerely hope you already have the equation. I know I don't want to type it all. :-)
anonymous
  • anonymous
It's this one, correct? Also thank you so much for the help, you're really helping me out of a jam. :)
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tkhunny
  • tkhunny
Yes, that's it. How about that least squares equation?
tkhunny
  • tkhunny
You already have all the numbers. Just different equations.
anonymous
  • anonymous
No, that equation I don't have.
tkhunny
  • tkhunny
Okay, I'll type in the formulas for a and b, given y = ax+b Denominator for Both = \(\left(\sum x \right)^{2} - n\cdot \sum x^{2}\) a-numerator = \(\sum x\sum y - n\sum xy\) b-numerator = \(\sum x \sum xy - \sum x^{2} \sum y\) That's all. Just calculate those two ratios.
anonymous
  • anonymous
Oh my gosh, thank you so much! You were such a big help!

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