In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player. Let y represent the home run percentage (number of home runs per 100 times at bat). Suppose a random sample of baseball players gave the following information. x y 0.251 0.259 1.3 3.7 0.29 5.8 0.265 0.269 3.9 3.7 a. Determine the mean for the x-values and the mean for the y-values. 20a.__________________ b. Given that the slope of the regression line is 100.7, determine the equation of the regression line for the data. Use a formula and not your calculator. Round the y-intercept to the nearest hundredth. 20b.__________________ c. State the meaning of the slope in this context. Do not say \"change in y over change in x.\" State what it means in relationship to the data in this problem. 20c.__________________