(a) Suppose you are given the following (x, y) data pairs. y 4 3 6 n USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). (b) Now suppose you are given...

(a) Suppose you are given the following (x,
y) data pairs.

Extracted text: (a) Suppose you are given the following (x, y) data pairs. y 4 3 6 n USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). (b) Now suppose you are given these (x, y) data pairs. 4 3 6 у | 3 5 Find the least-squares equation for these data (rounded to four digits after the decimal). (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? O Yes O No (e) In general, suppose we have the least-squares equation y = a bx for a set of data pairs (x, y). 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 y exchanged)? Explain using parts (a) through (d). O In general, switching x and y values produces the same least-squares equation. O In general, switching x and y values produces a different least-squares equation. O switching x and y values sometimes produces the same least-squares equation and sometimes it is different.