1. The problem is to compute step-by-step the data points provided and prepare them for a line graph. 2. First, list all the numbers as data points: 27, 79, 69, 40, 51, 88, 55, 48, 36, 61, 59, 60, 56, 62, 85, 53, 44, 94, 51, 65, 42, 58, 55, 69, 63, 62, 48, 71, 58, 77, 70, 48, 61, 55, 60, 25, 47, 78, 61, 54, 33, 80, 76, 49, 54, 57, 76, 73, 62, 36, 67, 40, 51, 59, 68, 55, 39, 52, 59, 68, 27, 46, 62, 43, 54, 83, 59, 13, 72, 57, 89, 51, 69, 85, 55, 82, 45, 54, 52, 71, 53, 82, 69, 60, 35, 57, 69, 27, 44, 61, 41, 65, 62, 75, 60, 42, 55, 34, 49, 45, 61, 57, 53, 26, 68, 49, 64, 40, 61, 73, 44, 59, 46, 71, 86, 70, 58, 52, 45, 41, 43, 69, 54, 31, 56, 51, 75, 44, 66, 53, 80, 71, 45, 44, 73, 43, 39, 53, 56, 91, 60, 41, 29, 56, 57, 35, 54, 51, 46, 67. 3. To prepare for a line graph, assign each data point an index starting from 1 to the total number of points (which is 120). 4. The line graph function can be represented as $y = f(x)$ where $x$ is the index (1 to 120) and $y$ is the corresponding data value. 5. This data can be plotted as points $(x, y)$ connected by lines to visualize trends or patterns. 6. No further algebraic simplification is needed since the data is raw and discrete. 7. Final representation for graphing: $y = f(x)$ with $x \in \{1,2,\ldots,120\}$ and $y$ as the given data values.