Final answer:
To write linear equations for Y2 and Y3, we must simplify the given expressions; Y2 simplifies to y = 4.83x - 206.3 and Y3 to y = 4.83x - 140.7, maintaining the slope of 4.83 from the line of best fit.
Step-by-step explanation:
To write an equation for each line, we must recognize that all provided equations are in the form of linear equations, which are commonly written as y = mx + b, where m is the slope and b is the y-intercept of the line. When given that line Y2 is equal to -173.5 + 4.83x − 2(16.4), and line Y3 is -173.5 + 4.83x + 2(16.4), we can simplify by multiplying the constants and combining like terms. For the given equation line of Y2, we simplify to y = 4.83x - 206.3, and for Y3, we have y = 4.83x - 140.7. Both of these lines have the same slope as the given line of best fit, which is 4.83.