Â PROJECT PROPOSAL â€“ DELIVERABLE 1 Â Case Solution
Another important assumption for performing the exploratory analysis such as regression analysis is that the dependent variable should be normally distributed. This assumption has been tested and the normal curve in exhibit 2 in appendix shows that the dependent variable is normally distributed. Therefore, this shows that the Y variable could be used as an independent variable in our further exploratory analysis such as multiple regression analysis. It should be noted that the mean of the normal curve has decreased and the standard deviation for the normal curve has also decreased. This shows that the dependent variable data is now more accurately distributed as seen by the normal curve in exhibit 3 in the appendix.
Finally, we have also identified certain data entry issues with respect to the dependent variable which is crime rate. The previous histogram based on the raw data set showed a rightly skewed histogram which meant that the mean was greater than the median of the dependent variable. The right skewed distribution of the dependent variable would have distorted the results of regression analysis. This might have also been due to the presence of the outliers in the data set. The new histogram for the dependent variable Y based on the trimmed data set shows that the histogram is normally distributed now as the curve shows exactly a bell shaped curve. This shows that the effects of extreme values have been cleaned in the data set and points occurring on one side of the mean are similar as on the other side. The histogram could be seen in exhibit 4 in appendix. The data has been processed; the descriptive statistics and the final data set for performing the exploratory analysis could be seen in the data file…………………..
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