Question

The following data were used in a regression study. Observation 1 7 9 2 3 4 5 6 2 3 4 5 45 46 46 9 11 8 9 (a) Develop an estimated regression equation for these data. (round your numerical values to two decimal places.) (b) Construct a plot of the residuals. 10 D B 10 0 2 Residuals 0 + 5 8 10 B 10 O O Do the assumptions about the error term seem to be satisfied? The plot suggests curvature in the residuals indicating that the error term assumptions are satisfied. The plot suggests a funnel patter in the residuals indicating that the error term assumptions are satisfied. The plot suggests curvature in the residuals indicating that the error term assumptions are not satisfied. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied. The plot suggests a generaly horizontal band of residual points indicating that the error term assumptions are not satisfied.

please help me with this problem im stuck

Answer 1

S.No X 1 2 4 Сл 3 4 4 2 3 4 5 4 (x-x)? 14.2716 7.7160 3.1605 0.6049 1.4938 1.4938 1.4938 4.9383 10.3827 45.5556 5 7 7 7 8 (1-7) 4.00 1.00 4.00 0.00 4.00 0.00 9.00 1.00 25.00 48.0000 (x-7)(y-7) 7.5556 2.7778 3.5556 0.0000 -2.4444 0.0000 3.6667 -2.2222 16.1111 29.0000 SXY 6 7 8 9 Total 6 9 5 11 54 9 52 Mean 5.778 6.0000 SSX SSY sample size n. 9 45.556 5.7778 y = 6.0000 S. (X-X) = S. (x-2)(y-7)= slope= B. S/S - intercept= B. = V-B.x= 29.000 0.63659 Co 2.32195

a)

y^ =2.32+0.64x

b)

Residuals

c)

the error term assumptions are not satisfied. The plot suggests a funnel pattern in the residuals indicating that the error term assumptions are not satisfied.