The data that follow are DC output from a windmill (y)

and wind velocity (x).

(a) Draw a scatter diagram of these data. What type of relationship seems appropriate in relating y to x?

(b) Fit a simple linear regression model to these data.

(c) Test for significance of regression using 0.05. What conclusions can you draw?

(d) Plot the residuals from the simple linear regression model versus and versus wind velocity x. What do you conclude about model adequacy?

(e) Based on the analysis, propose another model relating y to x.

Justify why this model seems reasonable.

(f) Fit the regression model you have proposed in part (e).

Test for significance of regression (use 0.05), and graphically analyze the residuals from this model. What can you conclude about model adequacy?

Transcribed Image Text:

Observation Number Wind Velocity (MPH), x; DC Output Yi 1 5.00 1.582 23 2 6.00 1.822 3.40 1.057 10 11 4567896= 2.70 0.500 10.00 2.236 9.70 2.386 9.55 2.294 3.05 0.558 8.15 2.166 6.20 1.866 2.90 0.653 12 6.35 1.930 13 4.60 1.562 14 5.80 1.737 15 7.40 2.088 16 3.60 1.137 17 7.85 2.179 18 8.80 2.112 19 7.00 1.800 20 5.45 1.501 21 9.10 2.303 22 10.20 2.310 23 4.10 1.194 24 3.95 1.144 25 2.45 0.123