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seth70liz76 · 07-19-2003, 02:42 AM

Maybe this is something that those of you who understand the math could make use of. I guess the question I have is mainly about doubles and triples. I think a 10% increase (or decrease) from sea level to 1 mile in home runs is safe to assume. And possibly 10% is safe to assume for Batting average. But a good number of these Home Runs would have been doubles or triples. Now, the utility I ran showing Coors as a pitchers park also showed it as a great park for doubles and triples (which, given the large outfield, makes sense--few outfielders can really cover that ground). I had thought about this as my adjustment:

For HR add 10% of the 2B rating and 15% of the 3B rating. Reduce the 2B and 3B by that amount.

I don't know if that has any "mathmatical" or "statistical" reality, but it just seems, on the surface, a needed adjustment.

The item listed as #7 below (I don't recall where I pulled this off of) seems to suggest, every 500 feet is abt a 1% increase in distance traveled. Knowing this, and having the math skills and Excel skills to go with it, I think it is possible to put altitude into a ballpark creator. I just don't know how.

Colorado Rockies Online- the homepage of the Colorado Rockies- provides the chart shown in Fig. 2.R.1, which shows the effect of altitude on the distance a ball travels. (Go to www.coloradorockies.com/rockies and look under Baseball 101 at the Physics of Baseball link.) The graph in the chart curves upward, suggesting that a quadratic function might be a good model.

Figure 2.R.1 Distance a batted baseball travels, as a function of altitude above sea level. Source: Colorado Rockies Online.

7. Find the quadratic function of best fit for the data that is summarized in the following table.

Stadium Altitude in Feet (x) Distance in Feet (y)
Yankee Stadium 0 400
Turner Field 1050 408
Coors Field 5280 440

8. Use your quadratic model to predict the distance a ball would travel in Wrigley
Field, where the altitude is approximately 600 feet.

9. Find the linear function of best fit for the altitude-distance data, and use it to
predict the distance the ball would travel in Wrigley Field.

10. Look at the models from items (7) and (9) to explain why the estimates were
virtually the same. Does distance traveled appear to be a quadratic function of
altitude?

07-19-2003, 02:42 AM	#12
seth70liz76 All Star Starter Join Date: Feb 2003 Posts: 1,634	Maybe this is something that those of you who understand the math could make use of. I guess the question I have is mainly about doubles and triples. I think a 10% increase (or decrease) from sea level to 1 mile in home runs is safe to assume. And possibly 10% is safe to assume for Batting average. But a good number of these Home Runs would have been doubles or triples. Now, the utility I ran showing Coors as a pitchers park also showed it as a great park for doubles and triples (which, given the large outfield, makes sense--few outfielders can really cover that ground). I had thought about this as my adjustment: For HR add 10% of the 2B rating and 15% of the 3B rating. Reduce the 2B and 3B by that amount. I don't know if that has any "mathmatical" or "statistical" reality, but it just seems, on the surface, a needed adjustment. The item listed as #7 below (I don't recall where I pulled this off of) seems to suggest, every 500 feet is abt a 1% increase in distance traveled. Knowing this, and having the math skills and Excel skills to go with it, I think it is possible to put altitude into a ballpark creator. I just don't know how. Colorado Rockies Online- the homepage of the Colorado Rockies- provides the chart shown in Fig. 2.R.1, which shows the effect of altitude on the distance a ball travels. (Go to www.coloradorockies.com/rockies and look under Baseball 101 at the Physics of Baseball link.) The graph in the chart curves upward, suggesting that a quadratic function might be a good model. Figure 2.R.1 Distance a batted baseball travels, as a function of altitude above sea level. Source: Colorado Rockies Online. 7. Find the quadratic function of best fit for the data that is summarized in the following table. Stadium Altitude in Feet (x) Distance in Feet (y) Yankee Stadium 0 400 Turner Field 1050 408 Coors Field 5280 440 8. Use your quadratic model to predict the distance a ball would travel in Wrigley Field, where the altitude is approximately 600 feet. 9. Find the linear function of best fit for the altitude-distance data, and use it to predict the distance the ball would travel in Wrigley Field. 10. Look at the models from items (7) and (9) to explain why the estimates were virtually the same. Does distance traveled appear to be a quadratic function of altitude? __________________ It was a mistake to come back.