(a) Suppose you are given the following (x, y) data pairs. 2 3 4 3 Find the least-squares equation for these data (rounded to four digits after the decimal). ý = (b) Now suppose you are given these...


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



I need help with (d) to (e)


(a) Suppose you are given the following (x, y) data pairs.<br>2<br>3<br>4<br>3<br>Find the least-squares equation for these data (rounded to four digits after the decimal).<br>ý =<br>(b) Now suppose you are given these (x, y) data pairs.<br>3<br>2 3<br>х<br>4<br>6<br>y<br>5<br>Find the least-squares equation for these data (rounded to four digits after the decimal).<br>ý =<br>(c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair?<br>Yes<br>No<br>(d) Solve your answer from part (a) for x (rounded to four digits after the decimal).<br>x =<br>Do you get the least-squares equation of part (b) with the symbols x and y exchanged?<br>O Yes<br>O No<br>(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<br>through (d).<br>O In general, switching x and y values produces the same least-squares equation.<br>O In general, switching x and y values produces a different least-squares equation.<br>O switching x and y values sometimes produces the same least-squares equation and sometimes it is different.<br>

Extracted text: (a) Suppose you are given the following (x, y) data pairs. 2 3 4 3 Find the least-squares equation for these data (rounded to four digits after the decimal). ý = (b) Now suppose you are given these (x, y) data pairs. 3 2 3 х 4 6 y 5 Find the least-squares equation for these data (rounded to four digits after the decimal). ý = (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes 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 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.

Jun 08, 2022
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