1. In baseball, is there a linear correlation between batting average and home run percentage? A…

1. In baseball, is there a linear correlation between batting average and home run percentage? A random sample of 7 professional baseball players gave the following information: Batting average: Home run percentage: 1.4 3.6 5.5 3.8 3.5 7.3 5.0 Use a 0.05 significance level to determine if there is a linear correlation between batting average and home run percentage. What is the best estimate for the home run percentage of a player who has a batting average of 0.300 0.243 0.259 0.286 0.263 0.268 0.339 0.299 The Fish and Game Department stocked Lake Lulu with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows: Catfish 2. Bass USS 85 Pike 75 12 Use a 0.01 significance level to test the claim that the distribution of fish changed over the five years.