Baseball is a sport that generates a lot of data, which fans use to try to predict the factors that lead to successful teams. One fan compiled the team batting average and the team percentage of games won for the 14 American League teams at the end of a recent season. The presumption is that a team with a greater batting average should win more games. Supposing that these data represent a random collection of observations of these two measures, let's explore whether batting average can predict winning percentage. The data are stored in the file Baseball.xls.

a)Plot the data, and comment on what you observe.

b)Find the correlation coefficient.

c)Find the coefficient of determination R2, for this data, and interpret its meaning.

d)Find the sample regression line, and interpret the meaning of the intercept and slope coefficients of your equation.

e)Is there evidence at a 5% level of significance, that batting average can be used to predict winning percentage? Explain.

Team Team Batting Average Winning% 0.254 0.441 0.269 0.519 0.255 0.5 0.262 0.537 0.254 0.352 0.247 0.519 0.264 0.506 0.271 0.512 0.28 0.586 0.256 0.418 0.248 0.519 0.255 0.512 0.27 0.525 0.257 0.462