(a) Suppose you are given the following (x, y) data pairs. x 1 25 y 4 3 6 Find the least-squares equation for these data (roundedto three digits after the decimal). Å· = + x (b) Now suppose you aregiven these (x, y) data pairs. x 4 3 6 y 1 2 5 Find theleast-squares equation for these data (rounded to three digitsafter the decimal). Å· = + x (c) In the data for parts (a) and (b),did we simply exchange the x and y values of each data pair? Yes NoCorrect: Your answer is correct. (d) Solve your answer from part(a) for x (rounded to three digits after the decimal). x = + y Doyou get the least-squares equation of part (b) with the symbols xand y exchanged? Yes No Correct: Your answer is correct. (e) Ingeneral, suppose we have the least-squares equation y = a + bx fora set of data pairs (x, y). If we solve this equation for x, willwe necessarily get the least-squares equation for the set of datapairs (y, x), (with x and y exchanged)? Explain using parts (a)through (d). In general, switching x and y values produces adifferent 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 andsometimes it is different. Correct: Your answer is correct.
