Part 1: Hand-plotted Graphs (1) Plot y vs x using the linear graph paper found at the end of this lab manual. Draw a smooth curve through the data points. Is the curve you obtained linear? Was your result expected? Explain your reasoning. Using the table, calculate In y and plot In y vs x on a separate sheet of linear graph paper. Since the expected dependence of the data is y - e, this graph should be linear. What is the expected slope of this plot? Show your work: (2) Now add error bars to this plot. Using the table, calculate the error in x and in In y using a percent error of 5% for both variables. (3) Draw the best-fit straight line. (4) What is the slope S of the best-fit line to the graph? Draw two more lines on the graph, one with the maximum possible slope S(max), and one with the minimum slope S(min). As shown in Fig. 3 of 'Graphs and Computers" in the introductory part of this manual, these lines should go through the error bars of the data. The S(max) line is drawn from the data point at the top-right plus uncertainty (the top of the error bar) to the data point at the bottom-left minus uncertainty (the bottom of the error bar). The S(min) line is drawn from the data point at the top-right minus uncertainty (the bottom of the error bar) to the data point at the bottom-left plus uncertainty (the top of the error bar). Find the following quantities (your work can be shown on the graph): (5) a. The max slope Sma b. The min slope Si d. Stas Does the slope you just found agree with the expected value? What is the % difference between the measured slope and the expected value? (6) (7) 36