# Physics Assignment                                                                Brockport High School NY USA Graphing Techniques                                                              Mr Keefer

Henry (Hank) Aaron was a great home run hitter for several major league baseball teams.  He holds the record for most home runs, eclipsing Babe Ruth's record of 714.  The table below shows his "stats" throughout his brilliant career.

 Calendar Year Years in Majors Home Runs Hit Total Career  HR's 1954 1 13 13 1955 2 27 40 1956 3 26 66 1957 4 44 110 1958 5 30 140 1959 6 39 179 1960 7 40 219 1961 8 34 253 1962 9 45 298 1963 10 44 342 1964 11 24 366 1965 12 32 398 1966 13 44 442 1967 14 39 481 1968 15 29 510 1969 16 44 554 1970 17 38 592 1971 18 47 639 1972 19 34 673 1973 20 40 713 1974 21 20 733 1975 22 12 745 1976 23 10 755

On graph paper, plot the total career home runs (y axis) as a function of years in the majors.  Label fully, then draw a "best fit line." Answer the following questions.
1.  Which are the independent and dependent variables?  Explain why they were chosen.
2.  Calculate the slope of your "best fit line."  Include the units.  What does the slope represent?
3.  By interpolation, how many home runs would you predicted after 10.5 years in the majors?
4.  According to your graph, how many home runs would Mr. Aaron have hit had he played 50 years in the majors?  Is this a fair assumption?
5.  Explain the terms interpolation and extrapolation.

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