The ARC is calculated by using the slope formula: (y2-y1)/(x2-x1)
Shooting Percentage v season
(1, 43.7) (2, 44.2) = (44.2-43.7)/(2-1) = 1/2
(2, 44.2) (3, 45.5) = (45.5-44.2)/(3-2) = 1.3
(3, 45.5) (4, 44.9) = (44.9- 45.5)/(4-3) = -0.6
(4, 44.9) (5, 42.4) = (42.4-44.9)/(5-4) -2.5
IRC:
(1, 43.7) (3, 45.5) = (45.5-43.7)/(3-1) = 0.9
Stephen Curry's shooting percentage is increasing 0.9 during the 2010-2011 season (year 2). The slope at year 2 is the average of the slopes directly to the left and right of year 2. Also as the secant lines inch toward year 2, the slopes get closer to rate of change at year 2.
Hey Jr,
ReplyDeleteI really like the example you used here to show IRC, it was really creative and Stephan Curry is a absolute beast so off course I want to know the IRC of his shooting percentage in a specific year. All of your math that you used is pretty good as well. The only negative that I have is that you skipped using the year 2 for the IRC. You are suppose to use (1,43) and(2, 44.2) as one set and (2,44.2) and (3,45.5) to find IRC. This would have made your IRC more accurate. Other than that great work.
-Jack Mutchnik
hey, jr,
ReplyDeleteyour blog example is really good! i like to see examples that i wouldn't even think of doing! your graphics, table, and graphs are well done, as well.
i have to agree with jack here on some missing parts to the assignment, though. part e of the instructions say to calculate the slope (ARC) of at least three secant lines originating from the "same point" on your graph to three different points on your graph. if you wanted to find the IRC at year two, you should have calculated three secant lines originating from year two. additionally, i don't see the tangent line drawn through year 2. other than those two tidbits, you did a very nice job!
professor little