For 35 years, major league baseball Hall of Fame member Henry Aaron held the record for

Chapter 1, Problem 62

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For 35 years, major league baseball Hall of Fame member Henry Aaron held the record for the greatest number of career home runs. His record was broken by Barry Bonds in 2007. Table 1.46 shows Aarons cumulative yearly record 28 from the start of his career, 1954, until 1973. (a) Plot Aarons cumulative number of home runs H on the vertical axis, and the time t in years along the horizontal axis, where t = 1 corresponds to 1954. (b) By eye, draw a straight line that fits these data well and find its equation. (c) Use a calculator or computer to find the equation of the regression line for these data. What is the correlation coefficient, r, to 4 decimal places? To 3 decimal places? What does this tell you? (d) What does the slope of the regression line mean in terms of Henry Aarons home-run record? (e) From your answer to part (d), how many home runs do you estimate Henry Aaron hit in each of the years 1974, 1975, 1976, and 1977? If you were told that Henry Aaron retired at the end of the 1976 season, would this affect your answers?

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