Question

Name X-Value Y-Value 4 (a) Plot the five points and the centroid. Be sure that Y is the vertical axis and X is the horizontal axis. (b) Draw a line that appears to fit the five points. (c) Find the bo and b, for the line you drew in part (b). (d) Find the residuals. Specifically, calculate e,Y (bo bX) for i H J, K, L, and M (e) Calculate the sum of the squared residuals (2 e) for the line drawn in part (b). (f) Now calculate the ordinary least squares bo and b, for the five points. Label (g) Find the new residuals. Specifically, find e (h) Calculate the new sum of squared residuals (2 e?). them bo and bi. Y (box H, J, K, L, and M (i) Which line leads to the smaller sum of squared residuals? Does any line exist that leads to a smaller sum of squared residuals?

Answer 1

Given that Name X-value Y-value H 1 8 J 2 5 K 3 6 L 4 1 M 5 5 (a) plot the five point and the centroid. Besure Y is the vertical axis and X is the horizontal axis The centroid of the database set is found 80 s X = ? X/n = (1 + 2 + 3 + 4 + 5)/5 = 15/5 = 3 Y = ? Y/n = (8 + 5 + 6 + 1 + 5)/5 = 25/5 = 5 Point are plotted as below o-centroid \r\n (b) Draw a line that appears Fit the Five point. We need draw a line that passes through the centroid and is close to 0.8 many data point as possible. (c) Find the b_e and b_1 for the line you draw in the plot The best Fit line is a straight line with linear equation of the form Y = B_0 + B_1X to find this equation we need two point on the line