Assume the following data (where the xxx is the last three digits of your student id): Month Machine Hours (hrs.) Maintenance Costs ($) 1 1,240 100,xxx 2 1,400 107,xxx 3 1,230 102,xxx 4 1,470 108,xxx 5 1,620 116,xxx 6 1,660 116,xxx 7 1,490 107,xxx 8 1,280 101,xxx 9 1,460 106,xxx 10 1,580 113,xxx 11 1,300 100,xxx 12 1,600 113,xxx 13 1,650 113,xxx 14 1,440 109,xxx 15 1,350 102,xxx 16 1,680 115,xxx 17 1,480 106,XXX 18 1,360 103,xxx 19 1,340 103,xxx 20 1,540 112,xxx 21 1,320 102,xxx 22 1,410 104,xxx 23 1,220 101,xxx For example, if your student id is 1234567, then machine hours would be 1240 hours and your maintenance costs would be $100,567 in month 1; 1400 hours and $107,567 is month 2; 1600 hours and $113,567 in month 12. Assume that the following relationship holds: Maintenance Costs = a + (b * Machine Hours) REQUIRED Estimate the values of a and b, using. 1. the High-Low Method, and 2. the Linear Regression method For help outside of the textbook, try "Linear Regression in Excel" on Youtube Note, to use the linear regression method, you MUST use the Microsoft Excel program. Make sure to report (). the values of a and b ii) a scatter plot of the data points, and iii) the R-square or the adjusted R-square 3. Which of the above two methods is more appropriate? Why ? (3 sentences maximum)