For the data and multiple regression model presented below, find the residual fo

Question

For the data and multiple regression model presented below, find the residual for the point Speed-20, Pause = 30. Round calculations and final answer to four decimal places. Variables in this model are average node speed, pause time, and goodput for computer networks. Pause Time Goodput Pause Time Goodput (m/s) 20 20 30 30 30 30 30 40 40 40 40 40 (m/s) 10 10 10 10 10 20 20 20 10 20 30 40 50 10 20 30 40 50 10 20 30 95.111 94.577 94.734 94.317 94.644 90.800 90.183 91.341 91.321 92.104 72.422 82.089 84.937 40 50 10 20 30 40 50 10 20 30 40 50 87.800 89.941 62.963 76.126 84.855 87.694 90.556 55.298 78.262 84.624 87.078 90.101 The regression equation is Goodput 96.0-1.82 Speed 0.565 Pause + 0.0247 Speed*Pause + 0.0140 Speed^2

Explanation / Answer

Answer:

The regression equation is

Goodput = 96.0-1.82*speed+0.565*pause+0.0247*speed*Pause+0.0140*speed^2-0.0118*pause^2

When speed=20, Pause=30,

Predicted Goodput = 96.0-1.82*20+0.565*30+0.0247*20*30+0.0140*20^2-0.0118*30^2

=86.350

Residual = y-y predicted

=84.937-86.350

= -1.4130

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