You are given the data set D = {(x, y)}_i∈I = {(−1, 3), (0, 5), (3, 9), (5, 7)}.

Find the linear regression line.

Transcribed Image Text:

(a) Write the data in centered form, D = {(x,y)}iel (b) Find the regression coefficient by employing Rule 3.3.5. (c) Find the regression line in centered form by employing Method 3.3.3. (d) Find the regression line in normal form by employing Method 3.3.3. (e) Multivariate calculus: 1. Let ya,b(x) = a + bx, and calculate f(a, b) = 1a,b(xi) ;). ii. Find the extremal point (ao, B) of f(a, b). This is the point where f(a,b) = f(a,b) = 0, and is a minimum. iii. Write down the linear regression line y = a + bx. (f) Check to see if you have the same regression line/coefficients in all the four methods. (g) Find the best estimate for the y-value when x = 10. (h) Draw the regression line in a diagram together with the data points.