ERRUPTIONS OF THE OLD FAITHFUL GEYSER

1.0 Literature Review
A geyser refers to a hot spring that occasionally due geographical processes and difference in pressure erupts hot water and steam in the air. The Old Faithful Geyser at Yellowstone National Park , Wyoming is one of the most famous geyser in the world. Given the fame of this geyser, it receives visitors from various parts of the world. For convenience of time, the national park service have erected some sign at the site to try help visitors predict the time for the occurrence of the next eruption.
The Old Faithful Geyser is not the biggest or most regular geyser in Yellowstone but it is the biggest regular geyser. It has been erupting in the same fashion throughout the …show more content…

Under regression, we shall use the p-value to show if eruption time is a significant predictor of the waiting time.

1.4 Descriptive Statistics
Table 1: a summary of descriptive statistics eruptions | | | waiting | | | | | | | | | Mean | | 3.487783088 | Mean | | 70.89706 | Standard Error | | 0.069205797 | Standard Error | | 0.824316 | Median | | 4 | Median | | 76 | Mode | | 1.867 | Mode | | 78 | Standard Deviation | | 1.141371251 | Standard Deviation | | 13.59497 | Sample Variance | | 1.302728333 | Sample Variance | | 184.8233 | Kurtosis | | -1.506167098 | Kurtosis | | -1.14153 | Skewness | | -0.418150471 | Skewness | | -0.41863 | Range | | 3.5 | Range | | 53 | Minimum | | 1.6 | Minimum | | 43 | Maximum | | 5.1 | Maximum | | 96 | Sum | | 948.677 | Sum | | 19284 | Count | | 272 | Count | | 272 |

Summary;
From the table comparing the standard deviation, the eruption time has a smaller standard deviation than that of waiting time. the eruption time is positively skewed while the waiting time is negatively skewed. This shows that for the eruption time most of the values are to the left of the mean with extreme values to the right. On the other hand, for the waiting time most of the values are to the right of the mean with extreme values to the left.
From the descriptive statistics, we can