Batting Average and Runs Scored. The table shows the top 10 hitters in Major League Baseball for 2013. We are interested in estimating the number of runs scored by using the player's batting average . Use this information for Exercises 57–60.

Question 13.57

batters2013

57. Assess the regression assumptions. Is it okay to proceed with the regression?

13.1.57

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The scatterplot of the residuals versus the fitted values shows no evidence of the unhealthy patterns shown in Figure 4. Thus, the independence assumption, the constant variance assumption, and the zero-mean assumption are verified.

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Also, the normal probability plot of the residuals indicates no evidence of departures from normality in the residuals. Therefore, we conclude that the regression assumptions are verified and it is okay to proceed with the regression.