(a) Suppose you are given the following (x, y) data pairs.
x | 1 | 2 | 5 |
y | 2 | 1 | 8 |
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(b) Now suppose you are given these (x, y) data
pairs.
x | 2 | 1 | 8 |
y | 1 | 2 | 5 |
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(c) In the data for parts (a) and (b), did we simply exchange the
x and y values of each data pair?
YesNo
(d) Solve your answer from part (a) for x (rounded to
three digits after the decimal).
x = + y
Do you get the least-squares equation of part (b) with the symbols
x and y exchanged?
YesNo
(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).
In general, switching x and y values produces the same least-squares equation.In general, switching x and y values produces a different least-squares equation. Switching x and y values sometimes produces the same least-squares equation and sometimes it is different.
(a) Suppose you are given the following (x, y) data pairs. x 1 2 5 y...
(a) Suppose you are given the following (x, y) data pairs. x 1 2 6 y 4 3 7 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (b) Now suppose you are given these (x, y) data pairs. x 4 3 7 y 1 2 6 Find the least-squares equation for these data (rounded to three digits after the decimal). ŷ = + x (c) In the data for parts...
(a) Suppose you are given the following (x, y) data pairs x136y217Find the least-squares equation for these data (rounded to three digits after the decimal) (b) Now suppose you are given these (x, y) data pairs. x217y136Find the least-squares equation for these data (rounded to three 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? Yes No (d) Solve your answer from part (a) for x (rounded to...
(a) Suppose you are given the following (x, y) data pairs. Find the least-squares equation for these data (rounded to three digits after the decimal). (b) Now suppose you are given these (x, y) data pairs. Find the least-squares equation for these data (rounded to three 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? (d) Solve your answer from part (a) for x (rounded to three digits...
Consider the following: (a) Suppose you are given the following x, y data pairs. x 2 1 6 y 6 7 8 Find the least-squares equation for these data. (Use 3 decimal places.) = + x (b) Now suppose you are given these x, y data pairs. x 6 7 8 y 2 1 6 Find the least-squares equation for these data. (Use 3 decimal places.) = + x (c) In the data for parts (a) and (b), did we simply exchange...
9) Suppose you are given n points: (x,y)(, y). And we wish to fit a cirele to the data. A general circle, as we all know, is Cr-y+-k. So the question becomes: What are h, k, and r so that the circle becomes the best least squares fit? Show that this problem becomes Th .e. What is a, B and what is M? B, When fitting the cirele to the data points (0,2), (1,2),3,-),(0,-D,6,0) what are the normal equations? GIVE...
1- Suppose that a sample of 35 pairs of data produced a test statistic of r = 0.335. A significance level of αα = 0.10 is to be used. (a) Find the critical values that would be used to test for significant linear correlation. Do not type "±±" in front of your answer (the ±± is already given in front of the answer box below). Round your answer to 3 places after the decimal point, if necessary. r = ±±...
airs, have been experimentally determined. 5) The following five data points, X-Y pairs, have been experimentary (1.00, 3.88), (2.00, 8.05), (3.00, 12.01), (4.0, 16.17), (5.00, 19.78) Use a least squares criterion to determine ast squares criterion to determine the equation of the straight line, = bo + Dia, that best fits the data.
A sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ŷ = 80 + 4x. Salesperson Years of Experience Annual Sales ($1,000s) 1 1 80 2 3 97 3 4 97 4 4 102 5 6 103 6 8 101 7 10 119 8 10 118 9 11 127 10 13 136 (a) Compute SST, SSR, and SSE. SST= SSR= SSE= (b) Compute...
1/2 POINTS PREVIOUS ANSWERS TANAPCALC10 8.4.004. Consider the following. 1 x y 1 .5 2 2 1 0 3 2 4 4.5 4 5 (a) Find an equation of the least squares line for the data. (Round your numerical values to two decimal places.) 129 104 (b) Draw a scatter diagram for the data and graph the least-squares line.
Use the following 4 (x, y) pairs to find the equation of the least squares regression line. x 2 3 5 6 y 5 9 10 12 Round the first answer (constant) to 0 decimal places (integer) and the second answer (slope) to 1 decimal place. ? * ? Based on the above equation, what is the predicted value of y if x = 10? Round answer to 0 decimal places (integer). ?