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.
|
Year |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
4 |
44 |
110 |
|
|
|
|
140 |
|
|
6 |
39 |
179 |
|
|
7 |
40 |
219 |
|
|
8 |
34 |
253 |
|
|
9 |
45 |
298 |
|
|
10 |
44 |
342 |
|
|
11 |
24 |
366 |
|
|
12 |
32 |
398 |
| 1966 |
13 |
44 |
442 |
|
|
14 |
39 |
481 |
|
|
15 |
29 |
510 |
|
|
16 |
44 |
554 |
|
|
17 |
38 |
592 |
|
|
18 |
47 |
639 |
|
|
19 |
34 |
673 |
|
|
20 |
40 |
713 |
|
|
21 |
20 |
733 |
|
|
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.