PROJECT IV Essay Example | Topics and Well Written Essays - 1000 words

PROJECT IV - Essay Example average time (pit stop time) and number of wins for top 30 Sprint Cup Drivers (the Nextel Cup Series) for year 2008 (whole season) is taken for bivariate correlation and regression analysis. For this paper, the average time (pit stop time)1 and number of wins for top 30 Sprint Cup Drivers (the Nextel Cup Series) for year 2008 (whole season) is collected (Race results, 2008; Sprint Cup Drivers, 2008). Table 1: Driver’s Number of Win(s) and the Pit Stop Time in Appendix, shows the data for top 30 drivers for the Nextel Cup Series, 2008. In bivariate correlation and regression analysis , it will be determined whether average time of pit stops is related to the number of wins. Therefore, the average time will be taken as independent variable (x) and the number of wins will be taken as dependent variable (y). Figure 1 shows the scatter plot of Average Pit Stop Time and Number of Wins. From figure 1 , it can be seen that as the average pit stop time increases the number of wins decreases. Therefore, there is a negative relationship exists between the variables average time and number of wins. The value of sample correlation coefficient , r = -0.55 indicate that there is a negative relationship present between the variables average pit stop time and number of wins for top 30 Sprint Cup Drivers. The correlation is significant at level of significance, ÃŽ ± = 0.01. For a two-tailed test at level of significance, ÃŽ ± = 0.01 and degree of freedom 28, the critical value of r is  ± 0.463. The value of correlation coefficient r = - 0.550 is less than the left tail critical value of -0.463, therefore the null hypothesis of no correlation is rejected and the data provide sufficient evidence of correlation between variables average pit stop time and number of wins (Table 3: Correlation Matrix). The slope equal to -1.803 suggests that an additional second in average pit stop time decreases the number of wins of sprint cup drivers by approximately 1.8. The number of wins for