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10. Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men's pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event, there was much room for improvement in vaulters' performances, whereas now even the best training can produce only incremental advances. Let's see whether concentrating on more recent results gives a better predictor of future records. Height (m) Year 1972 5.64 1976 4 1980 1984 1988 1992 1996 2000 2004 2008 (a) Use the data in Table 2 to complete the table of winning pole vault heights shown below. (Note that we are using a =0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part (a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data?

10. Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men's pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event, there was much room for improvement in vaulters' performances, whereas now even the best training can produce only incremental advances. Let's see whether concentrating on more recent results gives a better predictor of future records. Height (m) Year 1972 5.64 1976 4 1980 1984 1988 1992 1996 2000 2004 2008 (a) Use the data in Table 2 to complete the table of winning pole vault heights shown below. (Note that we are using a =0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part (a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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10. Olympic Pole Vault The graph in Figure Z indicates that in recent years the winning Olympic men's pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event, there was much room for improvement in vaulters performances, whereas now even the best training can produce only incremental advances. Let's see whether concentrating on more recent results gives a better predictor of future records. Height (m) Year 1972 5.64 1976 4 1980 8. 1984 1988 1992 1996 2000 2004 2008 (a) Use the data in Table 2 to complete the table of winning pole vault heights shown below. (Note that we are using o to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part (a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m. as described on Examples of Regression Analysis. Has this new regression line provided a better prediction than the line in Example 2?
Transcribed Image Text:10. Olympic Pole Vault The graph in Figure Z indicates that in recent years the winning Olympic men's pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event, there was much room for improvement in vaulters performances, whereas now even the best training can produce only incremental advances. Let's see whether concentrating on more recent results gives a better predictor of future records. Height (m) Year 1972 5.64 1976 4 1980 8. 1984 1988 1992 1996 2000 2004 2008 (a) Use the data in Table 2 to complete the table of winning pole vault heights shown below. (Note that we are using o to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part (a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m. as described on Examples of Regression Analysis. Has this new regression line provided a better prediction than the line in Example 2?
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