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9. [-/0.3 Points] DETAILS BBUNDERSTAT12 9.2.021.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Suppose you are given the following (x, )) data pairs. y 2 1 8 LA USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). y = X (b) Now suppose you are given these (x, )) data pairs. 2 8 Find the least-squares equation for these data (rounded to four digits after the decimal). y = (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? O Yes O No (d) Solve your answer from part (a) for x (rounded to four digits after the decimal). X = Do you get the least-squares equation of part (b) with the symbols x and y exchanged? Yes O No (e) In general, suppose we have the least-squares equation y = a + bx for a set of data pairs (x, M. If we solve this equation for x, will we necessarily get the least-squares equation for the set of data pairs (y, x), (with x and yexchanged)? Explain using parts (a) through (d). In general, switching x and y values produces a different least-squares equation. In general, switching x and yvalues produces the same least-squares equation. Switching x and yvalues sometimes produces the same least-squares equation and sometimes it is different. Need Help? Read It Watch It