Example 9 related y = team scoring (per game) and x = team batting average for American League teams. For National League teams in 2010, ŷ = -6.25 + 41.5x.
a. The team batting averages fell between 0.242 and 0.272. Explain how to interpret the slope in context.
b. The standard deviations were 0.00782 for team batting average and 0.3604 for team scoring. The correlation between these variables was 0.900. Show how the correlation and slope of 41.5 relate, in terms of these standard deviations.
c. Software reports r2 = 0.81. Explain how to interpret this measure.