Paper Group 3 - Statistics for Engineering | STAT 4706, Papers of Statistics

Download Paper Group 3 - Statistics for Engineering | STAT 4706 and more Papers Statistics in PDF only on Docsity! Group #1 STAT 4706 Project: Part E After running a first order model in Minitab, the results for Orville Redenbacher showed that only X1, the temperature of the stove, was significant in predicting the number of inedible kernels since the p-value was less than the chosen alpha level of 0.05. The normal probability plot follows a normal distribution with almost all the data points being distributed about the line and the histogram does show a bell-shaped curve with the presence of an outlier. We can assume that the expectation of error is equal to zero and assume constant variance because the versus fits plot shows the data points evenly distributed about zero and we can also assume independence since the versus order plot does not show any sort of trend among the data. After running a first order model in Minitab, the results for the Kroger Brand showed that none of the variables were significant in predicting the number of inedible kernels since all the p- values for the variables were all greater than the chosen alpha level of 0.05. The normal probability plot shows a normal distribution since all of the data points are roughly evenly distributed about the line and the histogram supports this statement. The versus fits plot is roughly cone shaped so it may not be appropriate to assume constant variance but we are able to assume that the expectation of error is equal to zero. The versus order plot lets us assume that there is independence among the variables since there is no apparent trend shown. After running a first order model in Minitab with interactions, the results for Orville Redenbacher showed that only X1, the temperature of the stove, was significant in predicting the number of inedible kernels since the p-value was less than the chosen alpha level of 0.05. The ANOVA table also showed that the p-value for the interaction between X1, the temperature of the stove, and X3, the cooking time, was less than the chosen alpha level of 0.05 but it was not considered significant because of the hierarchy principle. The normal probability plot showed a normal distribution of the data points about the line and the histogram roughly showed a bell- shaped curve. The versus fits plot allows us to assume that the expectation of error is equal to zero and that there is slight football shaped trend shown which does not allow us to assume constant variance. The versus order plot does not show any sort of trend so we can assume independence among the variables. The interaction plots showed that X1 and X3 have a strong interaction and X2 and X3 also have an interaction. After running a first order model in Minitab with interactions, the results for the Kroger Brand showed that only X1, the temperature of the stove, was significant in predicting the number of inedible kernels since the p-value was less than the chosen alpha level of 0.05. The ANOVA table also showed that the p-value for the interaction between X1, the temperature of the stove, and X3, the cooking time, was less than the chosen alpha level of 0.05 but it was not considered significant because of the hierarchy principle. The normal probability plot showed a normal distribution of the data points about the line and the histogram roughly showed a bell- shaped curve. The versus fits plot allowed us to assume the expectation of error was equal to zero and also that there was constant variance because of the absence of a trend. The versus order plot did not show any sort of trend which allowed us to assume independence among the variables. The interaction plots showed that was a strong interaction between X1 and X3 with only a slight interaction between the variables X1 and X2 and between X2 and X3.