SOLUTION: 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

Question 1201281: 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 (in thousandths) of 8 teams.
Team Games Won Batting Average
1 108 267
2 99 271
3 95 259
4 61 288
5 72 272
6 61 283
7 85 268
8 113 276

Using games won as the explanatory variable 𝑥, do the following:
(a) The correlation coefficient is 𝑟=
.
(b) The regression equation is 𝑦̂ =
.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the regression equation is Y = -0.2784*X + 297.2
r = -.6148 = correlation coefficient
r^2 = .3779
the slope is downwards.
x is the number of games won
y is the team batting average
what this suggest is that the team batting average goes down as the number of games won goes up.
r^2 is a measure of how well the regression line approximates the actual data.
an r^2 of .3779 indicates that the correlaation is not very strong.

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