1) A manufacturer of flexible seals for industrial equipment tests samples of its seals at a variety of temperatures and collects the following data. Temperature (C) 16 5 9 12 7 10 Seal Failures 3 12 8 6 4 a) Draw a scatter plot for these data. Please include a line of best fit. [5C] b) Determine the correlation co-efficient. [5K] c) Perform a linear-regression analysis (determine the equation of the line of best fit) on the data to determine a line of best fit for all the data points. [10K] d) How many seal failures will occur at a temperature of 20 degrees? (use equation in (c) to answer) e) At what temperature will you have 11 seal failures? (use equation in (c) to answer) [4T (d and e) Formulas: "Ex -(Ex)(Ey) "(Xxy) - (Xx)(Ey) VinEx - (Xx)InEy -(Ey)']. "(Ex ) - (Ex)' ; y = ax + b b = y - ax