The results of the tensile test of steel sample are shown as a force-extended length for each candidate in table 2. Use the given data (in table 2) to solve the following activities (a) Using a graph paper and scatter points of the given data to plot the graph of the given data in table 2 manually. (b) Describe what the scatter graph is indicating. (c) Use the scatter graph to estimate the length for a force of 57N (d) Determine the line of regression of extension on force manually (Y on X) (e) Calculate the regression coefficient and solve the equation if you applied 100 N force using plotted graph. (f) Solve accurately the given engineering problem using software package (e.g., Microsoft Excel) to determine regression coefficient, regression line, and R-squared (g) Solve accurately, using the developed equation in Q2-(f) and software package (e.g., Microsoft Excel) to determine the length if you applied 100 N force. (h) To complete this task, you should be able to provide the explanations of the applied processes. (i) Evaluate the correct synthesis and application of routine statistics to solve the given engineering problem. To do this, you should be able to evaluate the obtained results, application and applied processes from Q2 (a) to (g). (j) Furthermore, you should be able to apply linear regression equation (Eq.1), to solve the engineering problem accurately and determine the slope of the regression line (m) form the given data in table 2. m= N N N(x,y)- (x)(v.) ) and c=y-mx N += x and y= N N (Eq.1) (k) Also, use the Pearson's correlation (Eq.2), to determine the correlation coefficient. rx,y - Nxy - N - (Eq.2) (I) Evaluate the correct synthesis and application of non- routine statistics to solve the given engineering problem. To do this, you should be able to evaluate the obtained results, application, and applied processes of Q2 (j and k) to (d, g, and f). Force (N) 0 20 40 60 80 4 Length (mm) 20 95 170 270 360